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<journal-id journal-id-type="publisher-id">Front. Psychol.</journal-id>
<journal-title>Frontiers in Psychology</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Psychol.</abbrev-journal-title>
<issn pub-type="epub">1664-1078</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="doi">10.3389/fpsyg.2022.924109</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Psychology</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Developing a Conceptual Partner Matching Framework for Digital Green Innovation of Agricultural High-End Equipment Manufacturing System Toward Agriculture 5.0: A Novel Niche Field Model Combined With Fuzzy VIKOR</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author" corresp="yes">
<name><surname>Yin</surname> <given-names>Shi</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
<xref ref-type="aff" rid="aff2"><sup>2</sup></xref>
<xref ref-type="corresp" rid="c001"><sup>&#x002A;</sup></xref>
<uri xlink:href="http://loop.frontiersin.org/people/1472325/overview"/>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name><surname>Wang</surname> <given-names>Yuexia</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
<xref ref-type="corresp" rid="c002"><sup>&#x002A;</sup></xref>
<uri xlink:href="http://loop.frontiersin.org/people/1880400/overview"/>
</contrib>
<contrib contrib-type="author">
<name><surname>Xu</surname> <given-names>Junfeng</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
<uri xlink:href="http://loop.frontiersin.org/people/1880377/overview"/>
</contrib>
</contrib-group>
<aff id="aff1"><sup>1</sup><institution>College of Economics and Management, Hebei Agricultural University</institution>, <addr-line>Baoding</addr-line>, <country>China</country></aff>
<aff id="aff2"><sup>2</sup><institution>School of Economics and Management, Harbin Engineering University</institution>, <addr-line>Harbin</addr-line>, <country>China</country></aff>
<author-notes>
<fn fn-type="edited-by"><p>Edited by: Xingwei Li, Sichuan Agricultural University, China</p></fn>
<fn fn-type="edited-by"><p>Reviewed by: Muhammad Nazam, University of Agriculture Faisalabad, Pakistan; Syeda Tayyba Tehrim, National University of Computer and Emerging Sciences, Pakistan</p></fn>
<corresp id="c001">&#x002A;Correspondence: Shi Yin, <email>shyshi0314@163.com</email></corresp>
<corresp id="c002">Yuexia Wang, <email>wangyx20000510@163.com</email></corresp>
<fn fn-type="other" id="fn004"><p>This article was submitted to Organizational Psychology, a section of the journal Frontiers in Psychology</p></fn>
</author-notes>
<pub-date pub-type="epub">
<day>08</day>
<month>07</month>
<year>2022</year>
</pub-date>
<pub-date pub-type="collection">
<year>2022</year>
</pub-date>
<volume>13</volume>
<elocation-id>924109</elocation-id>
<history>
<date date-type="received">
<day>20</day>
<month>04</month>
<year>2022</year>
</date>
<date date-type="accepted">
<day>10</day>
<month>06</month>
<year>2022</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#x00A9; 2022 Yin, Wang and Xu.</copyright-statement>
<copyright-year>2022</copyright-year>
<copyright-holder>Yin, Wang and Xu</copyright-holder>
<license xlink:href="http://creativecommons.org/licenses/by/4.0/"><p>This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.</p></license>
</permissions>
<abstract>
<p>Digital green innovation (DGI) is the core factor that affects the digitalization and decarbonization strategy of agricultural high-end equipment manufacturing (AHEM) system. Although AHEM enterprises actively cooperate with academic research institutes to develop agricultural high-end equipment, there are many obstacles in the process of DGI. Moreover, the integration of digital technology and green innovation from the perspective of partner matching for the AHEM system has not been fully introduced in current literature. Hence, this study aimed to (i) establish a suitable framework system for the AHEM system in general, (ii) quantify the selection of DGI by academic research institutions based on niche theory, and (iii) propose an extended niche field model combined with fuzzy VIKOR model. First, a theoretical framework consisting of three core elements of technology superposition, mutual benefit, and mutual trust, and technological complementarity was constructed based on niche intensity and niche overlap degree. DGI ability superposition of technology, mutual trust, and technical complementarity are beneficial for transferring DGI knowledge from academic research institutes to the AHEM industry. Second, triangle fuzzy number and prospect theory combined with the VIKOR method were introduced into the field theory to construct the complementary field model of DGI resources. The niche field model has been successfully applied to practical cases to illustrate how the model can be implemented to solve the problem of DGI partner selection. Third, the results of a case study show that the criteria framework and the niche field model can be applied to real-world partner selection for AHEM enterprises. This study not only puts forward the standard framework of niche fitness evaluation based on niche theory but also establishes the niche domain model of innovation partner selection management based on niche theory. The standard framework and novel niche field model can help enterprises to carry out digital green innovation in the development of high-end agricultural equipment. The study has the following theoretical and practical implications: (i) constructing a criteria framework based on niche theory; (ii) developing a novel niche field model for DGI partner selection of AHEM enterprises; and (iii) assisting AHEM enterprises to perform DGI practice.</p>
</abstract>
<kwd-group>
<kwd>agricultural high-end equipment manufacturing enterprises</kwd>
<kwd>digital green innovation</kwd>
<kwd>symbiosis theory</kwd>
<kwd>field theory</kwd>
<kwd>partner selection</kwd>
</kwd-group>
<counts>
<fig-count count="5"/>
<table-count count="12"/>
<equation-count count="22"/>
<ref-count count="93"/>
<page-count count="19"/>
<word-count count="14827"/>
</counts>
</article-meta>
</front>
<body>
<sec id="S1" sec-type="intro">
<title>Introduction</title>
<p>Agricultural development is an important guarantee for China to improve its overall economy. China is a big agricultural producer and a big market for agricultural equipment applications. Without agricultural mechanization, there can be no modernization of agriculture and rural areas (<xref ref-type="bibr" rid="B5">Belton et al., 2021</xref>). Since the 13th Five-Year Plan, China has made a series of achievements in agricultural mechanization development. The total number of agricultural equipment in China reached 200 million, and the overall mechanization rate of crop cultivation and harvesting exceeded 70%. The production of the three major grains was basically mechanized, China has become the world&#x2019;s first agricultural equipment producer whose equipment is used by many countries (<xref ref-type="bibr" rid="B49">Qian et al., 2022</xref>). Agricultural production mode has realized the historic transformation from mainly relying on human and animal power to relying on mechanical power, aiming to move toward the future development of intelligence (<xref ref-type="bibr" rid="B24">He et al., 2021</xref>; <xref ref-type="bibr" rid="B25">Hou et al., 2021</xref>). The 2020 China-ASEAN Modern Agricultural Equipment Cooperation and Development Forum was held in Nanning. The forum used &#x201C;Belt and Road&#x201D; to promote China-ASEAN agricultural mechanization technology cooperation and exchange. The participants exchanged agricultural equipment production mechanization industry information and scientific research achievements (<xref ref-type="bibr" rid="B3">Aryal et al., 2021</xref>). In 2022, the Central No. 1 Document points out that to promote the transformation and upgrading of China&#x2019;s agricultural equipment industry and strengthen scientific research institutions and equipment manufacturing enterprises to jointly tackle key problems, the development of high-end agricultural machinery and equipment manufacturing is important. Agricultural high-end equipment manufacturing (AHEM) enterprises should improve their ability to independently develop agricultural equipment to support high-end intelligence (<xref ref-type="bibr" rid="B69">Wu et al., 2021</xref>; <xref ref-type="bibr" rid="B85">Zein El-Din et al., 2021</xref>). The major agricultural modernization project and high-end equipment innovation project were proposed to provide an impetus for green innovation of AHEM enterprises (<xref ref-type="bibr" rid="B69">Wu et al., 2021</xref>). The objective is to strengthen the pace of AHEM and provide a strong guarantee to speed up the digital green innovation (DGI) of AHEM enterprises. Agricultural mechanization is an important foundation for transforming the pattern of agricultural development and improving rural productivity and is an important support for implementing the rural revitalization strategy and realizing agricultural modernization (<xref ref-type="bibr" rid="B67">Wei and Cui, 2021</xref>). AHEM enterprises should take charge of rural vitalization, with the goal of meeting the needs of agricultural production and the focus on increasing farmers&#x2019; incomes. AHEM enterprises should focus on strengthening weak points, promoting coordination, and accelerating the transformation and upgrading of the agricultural equipment industry.</p>
<p>The deep integration of the new generation of information technology and agriculture has given birth to the third green revolution in agriculture (<xref ref-type="bibr" rid="B24">He et al., 2021</xref>). The digital revolution of agriculture has brought agriculture into a new era of networking, digitalization, and intellectual development. In the digital revolution of agriculture, two major changes have taken place in world agriculture. One is the emergence of a new mode of agricultural production represented by smart agriculture (<xref ref-type="bibr" rid="B54">Senthil Kumar et al., 2021</xref>), which makes agricultural production more &#x201C;smart&#x201D; and &#x201C;intelligent.&#x201D; The other is the development of an agricultural digital economy activating the value potential of &#x201C;data elements&#x201D; and enabling the new development of digital agriculture and rural areas. Smart agriculture is a modern agricultural production mode with information, knowledge, and equipment as the core elements (<xref ref-type="bibr" rid="B54">Senthil Kumar et al., 2021</xref>). It is the commanding height of the competition of modern agricultural science and technology and an important direction of the development of modern agriculture. In view of the problems of insufficient interpretation of the connotation of agricultural science, this study further analyzes the selection of key academic research partners for digital green innovation in agriculture (<xref ref-type="bibr" rid="B17">Gibadullin and Sergey, 2021</xref>). Agricultural mechanization can improve labor productivity and the utilization rate of land resources and play an &#x201C;engine&#x201D; role in agricultural production and management mode. The development of agricultural mechanization should actively cooperate with the implementation of foreign cooperation strategies. The digestion and absorption of foreign advanced agricultural machinery R&#x0026;D and manufacturing technology can improve China&#x2019;s effective supply capacity and international competitiveness of modern agricultural equipment (<xref ref-type="bibr" rid="B39">Liu et al., 2020</xref>). AHEM enterprises in the process of going out should pay attention to the overall technology, equipment, and other aspects of the group to go out, rather than isolated agricultural machinery to go out. In this process, AHEM enterprises should not only increase their R&#x0026;D efforts and integrate innovation and opening but also closely combine the innovation of agricultural machinery and equipment with the needs of modern agricultural development (<xref ref-type="bibr" rid="B53">Salembier et al., 2020</xref>). To explore the application of information technologies, such as the Internet of Things, big data, mobile Internet, intelligent control, and satellite positioning in agricultural mechanization, AHEM enterprises should actively carry out the automatic navigation of agricultural machinery, precise operation, and unmanned driving and popularize and apply agricultural machinery technology and equipment test demonstration so as to promote agricultural equipment structure optimization and upgrading (<xref ref-type="bibr" rid="B88">Zhang et al., 2022</xref>). AHEM enterprises speed up the promotion and application of intelligent monitoring platforms for agricultural machinery operation and promote precise operation (<xref ref-type="bibr" rid="B52">Saiz-Rubio and Rovira-M&#x00E1;s, 2020</xref>). AHEM enterprises should support the construction of &#x201C;digital agriculture&#x201D; demonstration bases and demonstration areas of &#x201C;unmanned farms.&#x201D; They help promote the integrated development of intelligent agricultural machinery, &#x201C;smart agriculture,&#x201D; and &#x201C;cloud farms,&#x201D; and accelerate the promotion of intelligent agricultural machinery services (<xref ref-type="bibr" rid="B72">Xu et al., 2022</xref>). Intelligent agricultural machinery and equipment represent the most advanced agricultural productivity. It is the key to improving production conditions, realizing intensive farming, improving production efficiency, changing the development mode, and enhancing the comprehensive production capacity (<xref ref-type="bibr" rid="B34">Li J. et al., 2022</xref>). An agricultural mechanization is an important tool for improving labor productivity, land output rate, and resource utilization rate. Intelligent agricultural equipment is the strategic material basis of modern agricultural development and also the focus of technological competition in the international agricultural equipment industry (<xref ref-type="bibr" rid="B59">Tian et al., 2020</xref>). Accelerating the development of intelligent agricultural equipment technology is of great significance to improve the supply capacity of agricultural machinery equipment.</p>
<p>In recent years, the development facility of agriculture equipment technology tends to be in a saturated state (<xref ref-type="bibr" rid="B71">Xing et al., 2021</xref>). Facilities for agriculture equipment technology level are relatively high (<xref ref-type="bibr" rid="B43">Ma et al., 2021</xref>), and these advanced technologies can play more significant stability. When agricultural personnel performs farming tasks, the development of equipment technology is more comprehensive and specific, and the production quality and efficiency are in a high state. Especially in Italy and the Netherlands (<xref ref-type="bibr" rid="B15">Domaga&#x0142;a, 2021</xref>), no matter in the early stage of cultivation, fertilization, and irrigation in the middle stage, picking and harvesting in the later stage, the application of facility agricultural equipment is very frequent (<xref ref-type="bibr" rid="B15">Domaga&#x0142;a, 2021</xref>), and the completely artificial agricultural production mode is gradually being replaced. For instance, the Axial fan commonly used in Italy and the curtain motor commonly used in Holland and in some developed countries have been equipped with computer data collection system in the greenhouse with a high degree of automation (<xref ref-type="bibr" rid="B6">Bia&#x0142;ow&#x0105;s and Budzy&#x0144;ska, 2022</xref>).</p>
<p>At present, China&#x2019;s AHEM technology has entered a new stage of development. DGI is the future development trend of modern agriculture in China. As the most important part of precision agriculture, the R&#x0026;D of AHEM is becoming more and more important. Agricultural equipment will integrate engineering technology, advanced manufacturing, and intelligent control of the new generation of information and communication (<xref ref-type="bibr" rid="B15">Domaga&#x0142;a, 2021</xref>; <xref ref-type="bibr" rid="B6">Bia&#x0142;ow&#x0105;s and Budzy&#x0144;ska, 2022</xref>). This helps to accelerate the development of high efficiency, intelligent, connection, and green, and become the new demand of modern agricultural development. In recent years, China&#x2019;s agricultural equipment industry has sustained rapid development and growth. The major domestic agricultural equipment is steadily advancing in the direction of intelligence, high efficiency, and green. The agricultural field is increasingly emphasizing the realization of digitalization, green agriculture, and innovation of agriculture equipment (<xref ref-type="bibr" rid="B16">Garske et al., 2021</xref>). Digital green agriculture has become a new trend of agricultural development and is considered the frontier of agricultural science and technology development in the future (<xref ref-type="bibr" rid="B35">Li M. et al., 2022</xref>).</p>
<p>Agricultural machinery and equipment are an important foundation for changing the pattern of agricultural development and improving rural productivity (<xref ref-type="bibr" rid="B41">Long et al., 2022</xref>), and important support for implementing the rural revitalization strategy. To implement the rural revitalization strategy and promote agricultural and rural modernization, new requirements have been put forward for agricultural mechanization (<xref ref-type="bibr" rid="B41">Long et al., 2022</xref>). However, on the whole, the development of AHEM industry is not balanced and sufficient, and some deep-seated contradictions and problems need to be solved (<xref ref-type="bibr" rid="B15">Domaga&#x0142;a, 2021</xref>; <xref ref-type="bibr" rid="B6">Bia&#x0142;ow&#x0105;s and Budzy&#x0144;ska, 2022</xref>). First, the effective supply of agricultural machinery equipment is insufficient. There is a lack of stalls and middle- and low-end products overcapacity coexist. The reliability and applicability of machinery and tools need to be further improved. Second, the integration of agricultural machinery and agronomy is not enough (<xref ref-type="bibr" rid="B58">Tang et al., 2021</xref>), and the adaptability of variety breeding, cultivation system, planting and rearing methods, post-natal processing, and mechanized production need to be strengthened. Third, the construction of basic conditions lags behind the appropriate mechanization. There are problems, such as agricultural machinery being &#x201C;difficult to field,&#x201D; &#x201C;difficult to work,&#x201D; and &#x201C;difficult to store.&#x201D; Modern agriculture requires relevant farmers to comprehensively apply modern industrial means to promote the construction of productive agriculture (<xref ref-type="bibr" rid="B2">Ali and Dahlhaus, 2022</xref>). It is very urgent to realize the maximization of income, integration and efficient development under the control of partial conditions. DGI will become the core feature of future agricultural development, which can comprehensively promote the construction and development of digital green agriculture (<xref ref-type="bibr" rid="B1">Abdulai, 2022</xref>). Promoting its modernization is not only important support for improving China&#x2019;s agricultural production level but also a prerequisite for increasing China&#x2019;s economic production income. The deep application of facility agriculture can also effectively solve the ecological environment problems and increase the income level of farmers (<xref ref-type="bibr" rid="B42">Lu et al., 2022</xref>). The AHEM technology plays a significant role in promoting the construction and development of modern agriculture. The comprehensive integration of agricultural biotechnology, construction engineering technology, agricultural engineering technology, machinery production technology, and other fields of science and technology can greatly promote efficient and high-quality agricultural production (<xref ref-type="bibr" rid="B14">Dayio&#x011F;lu and Turker, 2021</xref>). It is an important path for China&#x2019;s future agricultural construction and development. But at present, compared with developed countries, China&#x2019;s research and application of facility agricultural equipment technology are still immature. Therefore, relevant units should actively strengthen the application of relevant programs to provide solid support for China&#x2019;s agricultural production construction (<xref ref-type="bibr" rid="B90">Zhang and Cai, 2021</xref>).</p>
<p>With the rapid development of the agricultural economy and strong support from the state, the innovation of agricultural science and technology has met a golden opportunity and unprecedented challenge. At present, China&#x2019;s agricultural equipment is still in the stage of extensive development. It is mainly manifested in uneven financial investment in agricultural machinery research, difficulties in advanced technology for R&#x0026;D, application and promotion of new agricultural machinery products, and heavy and urgent tasks of DGI of agricultural high-end equipment. The development of AHEM enterprises in China is faced with multiple challenges of expanding fields, increasing varieties, and improving functions and levels (<xref ref-type="bibr" rid="B50">Qin et al., 2021</xref>). First, large-scale, multi-functional and efficient, innovative, digital, and automated agricultural equipment should be developed. Second, operational technology and equipment for efficient use of resources, such as seed saving, water saving, fertilizer saving, and medicine saving should be developed. Third, digital designing of agricultural equipment, virtual simulation, and integrated lean manufacturing (<xref ref-type="bibr" rid="B30">Khanna, 2021</xref>) should be realized. Some AHEM enterprises in China have begun to change their concept and focus on the design, R&#x0026;D, and production of digital agricultural machinery. Due to a lack of innovative talents, long research periods and high risks, insufficient capital investments, and other factors, it is difficult for AHEM enterprises to realize DGI (<xref ref-type="bibr" rid="B36">Li et al., 2022a</xref>,<xref ref-type="bibr" rid="B37">b</xref>). AHEM enterprises have to cooperate with partners to carry out DGI activities which have become an inevitable trend. Facing the future, deeply promoting AHE for agriculture, and selecting high-quality partners are particularly important. AHEM enterprises should gather cutting-edge scientific research and integrate superior resources to build an integrated R&#x0026;D platform. This helps in promoting the formation of agricultural equipment industry technology innovation center.</p>
<p>With the development of green, digital, and intelligent agriculture, it is difficult for AHEM enterprises to rely on traditional partners to carry out DGI activities (<xref ref-type="bibr" rid="B79">Yin et al., 2021a</xref>,<xref ref-type="bibr" rid="B80">b</xref>). Scholars have studied this from different perspectives and put forward some solutions. In terms of research topics, partner selection was studied from the perspective of technology standardization, collaborative innovation, and cooperative network, respectively (<xref ref-type="bibr" rid="B63">Wang et al., 2015</xref>; <xref ref-type="bibr" rid="B22">Han et al., 2019</xref>; <xref ref-type="bibr" rid="B18">Guertler and Sick, 2021</xref>). <xref ref-type="bibr" rid="B12">Choi (2020)</xref> studied the influence of knowledge protection on alliance partnership selection from the perspective of knowledge management. <xref ref-type="bibr" rid="B33">Li et al. (2020)</xref> and <xref ref-type="bibr" rid="B32">Li and Yin (2020)</xref> respectively studied the problem of ecological partner selection. <xref ref-type="bibr" rid="B28">J&#x00E4;ger and Piscicelli (2021)</xref> collaboratively studied the partner selection process for circular food packaging. &#x00C1;vilaey et al. took virtual enterprises as the research subject and used different methods to study the partner selection of virtual enterprises. In terms of research methods, the virtual enterprises mainly focus on the multi-attribute decision making method (<xref ref-type="bibr" rid="B46">Mousavi and Gitinavard, 2019</xref>; <xref ref-type="bibr" rid="B86">Zeng et al., 2019</xref>), network correlation analysis method (<xref ref-type="bibr" rid="B10">Chen et al., 2021</xref>), SEM method (<xref ref-type="bibr" rid="B21">Hair et al., 2019</xref>), VIKOR group decision making method (<xref ref-type="bibr" rid="B62">Wang et al., 2019</xref>), mathematical analysis method (<xref ref-type="bibr" rid="B7">Bolandnazar et al., 2020</xref>), intuitionistic fuzzy theory (<xref ref-type="bibr" rid="B75">Yang et al., 2021</xref>), method set (<xref ref-type="bibr" rid="B61">Venkatesh et al., 2019</xref>), and stage method (<xref ref-type="bibr" rid="B4">&#x00C1;vila et al., 2021</xref>).</p>
<p>The above literature has carried out a comprehensive and in-depth study on ecological partner selection from the aspects of the research subject, research perspective, and research methods. This provides a valuable reference for the selection of academic research partners for AHEM enterprises. However, in terms of research subjects and perspectives, there are few studies on the selection of academic research partners of AHEM enterprises. Due to financing constraints, there are only a few studies on the selection of academic research partners for the digital innovation of enterprises. Most of the research methods have a single evaluation method, which may lead to problems in the evaluation results. Even if multiple methods are integrated, most of the selected partners are only assessed from the evaluation value. The partners to be selected lack investigation from the complementarity of resources and the rationality and matching of partner selection. The continuity of the interaction between partner selection subject and partner is ignored. Therefore, it is necessary to conduct further research on the selection of academic research partners of AHEM enterprises to improve the accuracy of partner selection. This paper provides a new way of thinking about how to improve the scientificity and rationality of cooperative partner selection for AHEM enterprises.</p>
<p>This study focuses on the research on the partner selection of digital green innovation mutualism for AHEM enterprises. A niche fitness evaluation standard framework based on niche theory was proposed and a niche field model for innovation partner selection management based on niche theory was established. The standard framework and novel niche field model can help enterprises carry out DGI in the development of high-end agricultural equipment. The study has the following theoretical and practical implications: (i) constructing a criteria framework based on niche theory; (ii) developing a novel niche field model for DGI partner selection of AHEM enterprises; (iii) assisting AHEM enterprises to perform DGI practice. This helps optimize the selection of academic research partners and strengthen the cooperation between AHEM enterprises and academic research partners. This study can provide direction and strategy for improving the transformation effect of DGI in AHEM enterprises.</p>
<p>The rest of the study is organized as follows. Section <sup>&#x002A;&#x002A;&#x002A;</sup>&#x201D;Literature Review and Theoretical Framework&#x201D; is a literature review and theoretical framework. The Niche field model based on niche theory and field theory is shown in Section &#x201C;Methodology.&#x201D; Section &#x201C;Empirical Study&#x201D; is an empirical study. Conclusions and future prospects are presented in Section &#x201C;Conclusion and Implications.&#x201D;</p>
</sec>
<sec id="S2">
<title>Literature Review and Theoretical Framework</title>
<sec id="S2.SS1">
<title>Literature Review</title>
<sec id="S2.SS1.SSS1">
<title>Digital Green Innovative Management</title>
<p>Digital green innovative management involves digital innovation, green innovation, and the integration of DGI. Digital innovation can promote high-quality development of agricultural high-end equipment. <xref ref-type="bibr" rid="B51">R&#x00E4;is&#x00E4;nen and Tuovinen (2020)</xref> thought that rural digital infrastructure construction is very important to develop the rural digital economy and promote the pilot development model of smart agriculture. <xref ref-type="bibr" rid="B48">Nam et al. (2021)</xref> believed that digital technology should be actively explored to lead the innovative development of rural agriculture and give way to the guiding role of digital technology to drive the overall innovation of rural agriculture. <xref ref-type="bibr" rid="B20">Haggag (2021)</xref> proposed the rational application of digital technology in rural agricultural construction and development and constructed the development model of digital agriculture. <xref ref-type="bibr" rid="B57">Tang et al. (2020)</xref> found that digital financial development has a &#x201C;structural&#x201D; driving effect on enterprise technological innovation. <xref ref-type="bibr" rid="B40">Liu et al. (2021)</xref> explored the internal mechanism of digital technology enabling high-quality agricultural development in China by embedding digital technology into the agricultural factor allocation system and industrial system. <xref ref-type="bibr" rid="B45">Maria et al. (2021)</xref> explored the construction of digital agriculture operation management theory and methods to promote China&#x2019;s modern agriculture from mechanization and electrification to digital and intelligent leaps. <xref ref-type="bibr" rid="B9">Cao et al. (2021)</xref> enriched relevant studies on the impact of digital finance on enterprise innovation and provided a theoretical basis and policy reference for how the financial market can better serve the real economy. <xref ref-type="bibr" rid="B56">Tang et al. (2022)</xref> put forward the concept of enterprise strategic alliance ecosphere in the era of &#x201C;Internet +&#x201D; and discussed the innovation paradigm of enterprise strategic alliance ecosphere.</p>
<p>Green innovation has promoted the green development of AHEM enterprises. <xref ref-type="bibr" rid="B8">Cao et al. (2012)</xref> developed green agriculture through technological progress and promoted the green transformation of agricultural development policies, production organizations, technical services, and management systems. <xref ref-type="bibr" rid="B65">Wang and Liu (2015)</xref> studied how manufacturing enterprises design their supply chain structure from the perspective of environmental strategy and effectively identified the partnership between supply chain manufacturers. <xref ref-type="bibr" rid="B70">Xie et al. (2015)</xref> analyzed the mechanism of green development of enterprises and pointed out the path of green development of enterprises in the context of digitization. Reid and Miedzinski proposed that enterprise green innovation has the function of value symbiosis and encouraged enterprises to take the initiative in green innovation. <xref ref-type="bibr" rid="B19">Guo (2017)</xref> explored the topic of green financial services agriculture, rural areas, and farmers and built a green financial service system to promote the development of green agriculture. <xref ref-type="bibr" rid="B38">Lin (2019)</xref> believed that rural revitalization adheres to the orientation of sustainable development. <xref ref-type="bibr" rid="B84">Yue et al. (2020)</xref> found that the Internet has a positive impact on green innovation performance and promotes the green innovation development of manufacturing enterprises. <xref ref-type="bibr" rid="B76">Yin et al. (2020a)</xref> found that digital finance improves regional green innovation efficiency and affects the green innovation efficiency of neighboring regions, and the rural society must carry out green financial innovation. Fang et al. found that the greener the patent applications and licenses a GeM-listed company can obtain, the higher the excess return rate of its stock. <xref ref-type="bibr" rid="B91">Zhang et al. (2021)</xref> studied how to effectively drive agricultural enterprises to carry out green entrepreneurship, which is conducive to deepening the research on green entrepreneurship of agricultural enterprises. The integration of DGI has opened up a new way for the innovative development of agricultural high-end equipment. <xref ref-type="bibr" rid="B87">Zhai and Lewis (2021)</xref> found that the incentive effect of digital financial development on green innovation of enterprises is more significant in the central and western regions with lower development levels. Li et al. explored the impact of different digital innovations on green innovation performance, which has important theoretical and practical significance. <xref ref-type="bibr" rid="B82">Yu and Yang (2021)</xref> studied the influence mechanism between digital finance and enterprise green innovation in terms of regional heterogeneity. <xref ref-type="bibr" rid="B31">Lei et al. (2021)</xref> found that infrastructure construction, market competition intensity, and enterprise innovation input have a significant positive impact on the ecological benefits of DGI in the manufacturing industry. <xref ref-type="bibr" rid="B23">Han and Gan (2022)</xref> proposed that investors&#x2019; attention can promote green innovation performance of enterprises. <xref ref-type="bibr" rid="B68">Wei et al. (2022)</xref> found that the digital economy effectively improves the output of urban green innovation.</p>
<p>At present, most literature research subjects are mainly concentrated on other enterprises, and there are few studies on AHEM enterprises. Research on the partner selection of DGI for AHEM enterprises is less based due to financing constraints.</p>
</sec>
<sec id="S2.SS1.SSS2">
<title>Partner Selection Guidelines</title>
<p>Many scholars have been engaged in the research of partner selection criteria, which mainly focus on green innovation, digital innovation, ecological innovation, industry-university-research innovation, and other partner selection. In terms of green innovation partner selection criteria, <xref ref-type="bibr" rid="B29">Kang et al. (2015)</xref> used the multi-objective optimization model to quantitatively analyze and study the partner selection problem of cloud service providers. <xref ref-type="bibr" rid="B66">Wang and Liu (2016)</xref> constructed a supplier evaluation and selection index system by using carbon dioxide emissions as a key indicator of supply chain environmental performance. <xref ref-type="bibr" rid="B33">Li et al. (2020)</xref> selected the degree of cooperation aggregation, data and information security protection ability, cooperation transformation ability, cooperation embedding ability, and aggregation resource level as the partner evaluation indicator system. Zhou et al. constructed an evaluation index system for collaborative innovation partners in cloud manufacturing based on four first-level indicators, namely compatibility, innovation capability, technical scheme, and innovation effect. <xref ref-type="bibr" rid="B47">Mutamimah et al. (2021)</xref> constructed a 3 C principle of compatibility, capability, and commitment. <xref ref-type="bibr" rid="B35">Li M. et al. (2022)</xref> used big data of enterprise patent cooperation to measure the behavior of innovation partner selection among enterprises.</p>
<p>In terms of selection criteria for eco-innovation partners, <xref ref-type="bibr" rid="B92">Zhang et al. (2013)</xref> took environmental protection as an important indicator to evaluate partners and added carbon and lead content as environmental indicators into the partner evaluation system. <xref ref-type="bibr" rid="B89">Zhang et al. (2014)</xref> proposed a set of science and technology collaborative partner evaluation index system for the global supply chain system environment. Zhai and Zhao constructed evaluation index system criteria for partner selection under the ecosystem platform and established a model for partner selection of the ecosystem based on the Markov chain. <xref ref-type="bibr" rid="B32">Li and Yin (2020)</xref> put forward the evaluation model and selection model of ICT enterprise ecological partner selection. <xref ref-type="bibr" rid="B26">Hua and Anna (2021)</xref> studied the selection of ideal partners from the perspective of the resource investment rate of each subject, the degree of resource complementarity, and the comparison of comprehensive strength. <xref ref-type="bibr" rid="B64">Wang et al. (2022)</xref> proposed three types of alliance: win-win alliance, unilateral alliance, and unintentional alliance partner.</p>
<p>In terms of the selection criteria of industry-university-research partners, <xref ref-type="bibr" rid="B93">Zhu et al. (2014)</xref> evaluated the selection of cooperative innovation partners based on subjective criteria, such as knowledge possession, management experience, technical ability, and resource complementarity. <xref ref-type="bibr" rid="B83">Yu and Hu (2015)</xref> and <xref ref-type="bibr" rid="B73">Yang and Li (2016)</xref> established an index system from the resource ability, management ability, technical skills, property rights, reputation, and the degree of compatibility to study partner selection, respectively. <xref ref-type="bibr" rid="B13">Dao et al. (2014)</xref> and <xref ref-type="bibr" rid="B27">Huang et al. (2017)</xref> studied partner selection from the aspects of cost, time, quality, risk, and reputation. <xref ref-type="bibr" rid="B11">Chen et al. (2018)</xref> considered indicators, such as security and synergy. <xref ref-type="bibr" rid="B44">Ma et al. (2018)</xref> compared the matching of industry-university-research partners, target synergy, cultural compatibility, innovation resources, and complementarity of capabilities as the selection criteria to investigate the collaborative capabilities of partners. Zheng et al. used expert evaluation and system analysis methods to conduct a comprehensive evaluation on the selection of partners. <xref ref-type="bibr" rid="B10">Chen et al. (2021)</xref> summarized that quality and capability are the main indicators for the evaluation of industry-university-research collaborative innovation partners. <xref ref-type="bibr" rid="B55">Su et al. (2022)</xref> found that core members will preferentially select collaborative members with knowledge stock advantages to form a knowledge supply chain.</p>
<p>The research on influencing factors of partner selection is the construction of an evaluation index system for partner selection. Moreover, the research focuses on two aspects of task-oriented factors and relationship-oriented factors. The results are highly consistent, indicating that the importance of some factors in partner selection has reached a consensus.</p>
</sec>
<sec id="S2.SS1.SSS3">
<title>Partner Selection Method</title>
<p>In terms of research methods, the partner selection method mainly focuses on the multi-attribute decision making method (<xref ref-type="bibr" rid="B46">Mousavi and Gitinavard, 2019</xref>; <xref ref-type="bibr" rid="B86">Zeng et al., 2019</xref>), network correlation analysis method (<xref ref-type="bibr" rid="B10">Chen et al., 2021</xref>), SEM method (<xref ref-type="bibr" rid="B21">Hair et al., 2019</xref>), VIKOR group decision making method (<xref ref-type="bibr" rid="B62">Wang et al., 2019</xref>), mathematical analysis method (<xref ref-type="bibr" rid="B7">Bolandnazar et al., 2020</xref>), intuitionistic fuzzy theory (<xref ref-type="bibr" rid="B75">Yang et al., 2021</xref>), method set (<xref ref-type="bibr" rid="B61">Venkatesh et al., 2019</xref>), and stage method (<xref ref-type="bibr" rid="B4">&#x00C1;vila et al., 2021</xref>). For example, <xref ref-type="bibr" rid="B46">Mousavi and Gitinavard (2019)</xref> extended a multi-attribute group decision approach for the selection of outsourcing service activities for information technology under risk. <xref ref-type="bibr" rid="B62">Wang et al. (2019)</xref> investigated a fuzzy AHP-VIKOR based prioritization from a life cycle perspective to select sustainable energy conversion technologies for agricultural residues. <xref ref-type="bibr" rid="B61">Venkatesh et al. (2019)</xref> adopted a fuzzy AHP-TOPSIS approach to investigate supply partner selection. <xref ref-type="bibr" rid="B21">Hair et al. (2019)</xref> established a structural equation modeling-based discrete choice modeling to study the retailer choice problem. <xref ref-type="bibr" rid="B7">Bolandnazar et al. (2020)</xref> used artificial intelligence and mathematical models to study energy consumption forecasting in agriculture. <xref ref-type="bibr" rid="B33">Li et al. (2020)</xref> developed an ecological partner selection field model of strategic alliance based on dual combination weighting. <xref ref-type="bibr" rid="B75">Yang et al. (2021)</xref> used an intuitionistic fuzzy weighted approach to integrate individual criteria decision matrix of partners in different periods to achieve a continuous evaluation of partners. <xref ref-type="bibr" rid="B74">Yang and Wang (2022)</xref> constructed a partner selection evaluation index system.</p>
<p>The above analysis results lay a foundation for further analysis in this study. However, it is found that the existing research has still deficiencies in the following three aspects. First, few scholars take the factors of mutual trust and technology accumulation into consideration in the analysis of influencing factors. Different characteristics of different innovation types will lead to different factors to be considered in partner selection. The technological level of the partner has also an important influence on the selection of a partner. Second, existing studies only simply analyze the factors influencing corporate partner selection, without an in-depth analysis of the mechanism among the factors, which has a limited guiding effect on practice. Third, simple correlation analysis or speculative research is generally adopted, with few empirical studies. To remedy the above research defects, this study analyzes the selection of academic research partners for DGI of AHEM enterprises. It provides decision-making guidance for optimizing the management of the selection of academic research partners. In addition, this study provides a direction strategy for the selection of cooperative partners of AHEM enterprises.</p>
</sec>
</sec>
<sec id="S2.SS2">
<title>Theoretical Framework</title>
<p>Innovation usually occurs in the process of technological change. High-end equipment innovation plays an important role in improving the competitiveness of AHEM enterprises. It is regarded as one of the key factors affecting the green competitive advantage and strategic selection of AHEM enterprises. In AHEM R&#x0026;D process, enterprises are faced with huge digital technology and green technology problems. In recent years, more and more agricultural high-end equipment is developed by enterprises, universities, and scientific research institutes on the basis of knowledge and technology sharing and cooperation in obtaining complementary resources (<xref ref-type="bibr" rid="B60">Tuna and Karantininis, 2021</xref>). DGI problems related to agricultural high-end equipment R&#x0026;D can be solved by choosing ideal partners. <xref ref-type="fig" rid="F1">Figure 1</xref> shows the theoretical model of partner selection for DGI cooperation of AHEM enterprises.</p>
<fig id="F1" position="float">
<label>FIGURE 1</label>
<caption><p>A theoretical model of DGI partner selection.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fpsyg-13-924109-g001.tif"/>
</fig>
<p>In <xref ref-type="fig" rid="F1">Figure 1</xref>, the two main bodies of high-end equipment innovation are AHEM enterprises and academic research institutions. DGI cooperation and technology sharing between AHEM enterprises and academic research institutions can promote DGI. Cooperation between AHEM enterprises and academic research institutes can not only make enterprises share R&#x0026;D costs and innovation risks with academic research institutes but also realize knowledge and technology sharing and obtain complementary resources (<xref ref-type="bibr" rid="B77">Yin et al., 2020b</xref>,<xref ref-type="bibr" rid="B78">c</xref>). The cooperation not only combines heterogeneous partners but also heterogeneous knowledge more importantly. In the process of exchanging resources, the mutually beneficial and symbiotic relationship between AHEM enterprises and academic research institutions is gradually formed. More and more complementary resources of DGI are shared between AHEM enterprises and other academic research institutions. Whether AHEM enterprises can choose appropriate mutually beneficial partners is directly related to the development of DGI. In the selection system, it is particularly important for AHEM enterprises to select one or several academic research institutions as their partners for DGI of agricultural high-end equipment. This study will solve this issue.</p>
<p>In this study, a standard framework for the selection of academic research partners for the DGI cooperation of AHEM enterprises is constructed. Every academic research institution has the niche theory of state attribute and potential attribute. The state attribute refers to the unit of an organism, its past growth, development, and interaction with the environment, while potential refers to the actual influence or dominance of the unit of an organism on the environment and reflects its development trend. From the perspective of niche theory, niche intensity and niche overlap are the core contents of niche state and potential. In the collaborative DGI system, niche intensity is the state of the academic research institutes and the result of the interaction between growth, development, and innovation environment in the past. The degree of niche overlap is the actual influence or dominant position of academic research institutions on AHEM enterprises. <xref ref-type="fig" rid="F2">Figure 2</xref> shows the evaluation system of academic research partner selection of DGI based on <xref ref-type="fig" rid="F1">Figure 1</xref>.</p>
<fig id="F2" position="float">
<label>FIGURE 2</label>
<caption><p>The evaluation system of academic research institutions selection of DGI based on niche theory.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fpsyg-13-924109-g002.tif"/>
</fig>
<p>The characteristics and capabilities of academic research institutions are the core content of niche intensity. The characteristics are relatively stable. It is based on the mutual trust of the academic research institutions, such as the compatibility of the atmosphere and values of the cooperative organizations of both sides, the willingness of the academic research institutions to participate in DGI, the integration of the DGI R&#x0026;D teams of both sides, and the reasonable price of DGI projects. The capability reflects the dynamic characteristics of academic research institutions, such as innovation ability, maturity, and reliability of digital green technology of AHEM, timeliness of digital green technology of AHEM, compatibility of digital green technology of AHEM with enterprise technology, etc. The complementarity of green innovation technology of AHEM, the complementarity of digital innovation technology of AHEM, the complementarity of digital technology and green technology fusion, and the complementarity of multi-technology fusion innovation and manufacturing are the core contents of the ecological niche overlap degree of AHEM enterprises and academic research institutions. Based on the above analysis, mutual trust and technology overlay can be used to reflect the intensity of the niche. The level of complementarity can be used to reflect the degree of niche overlap in the DGI system of academic research institutes-AHEM enterprises linkages.</p>
</sec>
</sec>
<sec id="S3">
<title>Methodology</title>
<sec id="S3.SS1">
<title>Preliminary</title>
<sec id="S3.SS1.SSS1">
<title>Triangular Fuzzy Number</title>
<p>With the development of fuzzy theory, the description and expression of fuzziness are more and more demanding. Among many fuzzy numbers, triangular fuzzy numbers (TFNs) are widely used in control, decision making, evaluation, and other fields. In this study, TFNs were adopted to obtain the cooperative intention of the academic research institutions based on the evaluation system. Based on the above analysis, we made the following definition.</p>
<p><bold>Definition 1:</bold> Let <italic><sub>&#x00C3;=(a<sup>L</sup>,a<sup>M</sup>,a<sup>R</sup>)</sub></italic> a typical TFN, and its form is as follows:</p>
<disp-formula id="S3.E1">
<label>(1)</label>
<mml:math id="M1">
<mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="normal">&#x03BC;</mml:mi>
<mml:mover accent="true">
<mml:mi>A</mml:mi>
<mml:mo stretchy="false">~</mml:mo>
</mml:mover>
</mml:msub>
<mml:mo>&#x2062;</mml:mo>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mi>x</mml:mi>
<mml:mo>)</mml:mo>
</mml:mrow>
</mml:mrow>
<mml:mo>=</mml:mo>
<mml:mrow>
<mml:mo>{</mml:mo>
<mml:mtable displaystyle="true" rowspacing="0pt">
<mml:mtr>
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<mml:mrow>
<mml:mstyle displaystyle="false">
<mml:mfrac>
<mml:mrow>
<mml:mi>x</mml:mi>
<mml:mo>-</mml:mo>
<mml:msup>
<mml:mi>a</mml:mi>
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</mml:msup>
</mml:mrow>
<mml:mrow>
<mml:msup>
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<mml:mi>M</mml:mi>
</mml:msup>
<mml:mo>-</mml:mo>
<mml:msup>
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<mml:mi>L</mml:mi>
</mml:msup>
</mml:mrow>
</mml:mfrac>
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<mml:mo rspace="22.5pt">,</mml:mo>
<mml:msup>
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<mml:mi>L</mml:mi>
</mml:msup>
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<mml:mo>&#x2264;</mml:mo>
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<mml:mrow>
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<mml:mn>0</mml:mn>
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</mml:msup>
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</mml:mtable>
<mml:mi/>
</mml:mrow>
</mml:mrow>
</mml:math>
</disp-formula>
<p>In this study, fuzzy language variables as shown in <xref ref-type="table" rid="T1">Table 1</xref> are used to reflect the evaluation of academic research institutes-AHEM enterprise linkages toward agriculture 5.0.</p>
<table-wrap position="float" id="T1">
<label>TABLE 1</label>
<caption><p>Fuzzy linguistic variable.</p></caption>
<table cellspacing="5" cellpadding="5" frame="hsides" rules="groups">
<thead>
<tr>
<td valign="top" align="left">Linguistic variables</td>
<td valign="top" align="center">Abbreviations</td>
<td valign="top" align="center">TFNs</td>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">Very poor</td>
<td valign="top" align="center">VP</td>
<td valign="top" align="center">(0.0, 0.0, 0.1)</td>
</tr>
<tr>
<td valign="top" align="left">Poor</td>
<td valign="top" align="center">P</td>
<td valign="top" align="center">(0.0, 0.1, 0.3)</td>
</tr>
<tr>
<td valign="top" align="left">Medium poor</td>
<td valign="top" align="center">MP</td>
<td valign="top" align="center">(0.1, 0.3, 0.5)</td>
</tr>
<tr>
<td valign="top" align="left">Medium</td>
<td valign="top" align="center">M</td>
<td valign="top" align="center">(0.3, 0.5, 0.7)</td>
</tr>
<tr>
<td valign="top" align="left">Medium good</td>
<td valign="top" align="center">MG</td>
<td valign="top" align="center">(0.5, 0.7, 0.9)</td>
</tr>
<tr>
<td valign="top" align="left">Good</td>
<td valign="top" align="center">G</td>
<td valign="top" align="center">(0.7, 0.9, 1.0)</td>
</tr>
<tr>
<td valign="top" align="left">Very good</td>
<td valign="top" align="center">VG</td>
<td valign="top" align="center">(0.9, 1.0, 1.0)</td>
</tr>
</tbody>
</table></table-wrap>
<p><bold>Definition 2:</bold> A TFN <italic><sub>&#x00C3;=(a<sup>L</sup>,a<sup>M</sup>,a<sup>R</sup>)</sub></italic> is transferred into a crisp real number by:</p>
<disp-formula id="S3.E2">
<label>(2)</label>
<mml:math id="M2">
<mml:mrow>
<mml:mrow>
<mml:mi>P</mml:mi>
<mml:mo>&#x2062;</mml:mo>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mover accent="true">
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<mml:mo stretchy="false">~</mml:mo>
</mml:mover>
<mml:mo>)</mml:mo>
</mml:mrow>
</mml:mrow>
<mml:mo>=</mml:mo>
<mml:mrow>
<mml:mfrac>
<mml:mn>1</mml:mn>
<mml:mn>6</mml:mn>
</mml:mfrac>
<mml:mo>&#x2062;</mml:mo>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:msup>
<mml:mi>a</mml:mi>
<mml:mi>L</mml:mi>
</mml:msup>
<mml:mo>+</mml:mo>
<mml:msup>
<mml:mi>a</mml:mi>
<mml:mi>M</mml:mi>
</mml:msup>
<mml:mo>+</mml:mo>
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</mml:msup>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:mrow>
</mml:math>
</disp-formula>
<p><bold>Definition 3:</bold> Supposing two TFNs <italic><sub>&#x00C3;=(a<sup>L</sup>,a<sup>M</sup>,a<sup>R</sup>)</sub></italic> and <italic><sub><inline-formula><mml:math id="INEQ3"><mml:mrow><mml:mover accent="true"><mml:mi>B</mml:mi><mml:mo stretchy="false">~</mml:mo></mml:mover></mml:mrow></mml:math></inline-formula>=(b<sup>L</sup>,b<sup>M</sup>,b<sup>R</sup>)</sub></italic> the distance of the two TFNs is calculated by:</p>
<disp-formula id="S3.E3">
<label>(3)</label>
<mml:math id="M3">
<mml:mrow>
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</sec>
<sec id="S3.SS1.SSS2">
<title>Prospect Theory</title>
<p>Prospect theory is an effective tool to reflect intuitively perceived utility. In this study, fuzzy prospect theory was introduced to help AHEM enterprises avoid risks blindly or like risks. If the number of academic research institute partners is odd, the median is taken as the reference point. If the number of academic research institute partners is even, the mean of the two fuzzy numbers in the middle is taken as the reference point. Let the reference point of criterion value under the state <sub><italic>S<sub>1</sub></italic></sub> in criterion <sub><italic>c<sub>1</sub></italic></sub> be <sub><italic>Y<sub>jh</sub></italic></sub>, and the prospect value function can be determined as follows:</p>
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<p>Where <sub>&#x03B1;,&#x03B2;</sub> is the coefficient of risk attitude, <sub>&#x03B1;,&#x03B2;&#x2208;[0,1]</sub>. When <sub>&#x03B1;=&#x03B2;=1</sub>, decision-makers are regarded as risk neutral. Here, we define <sub>&#x03B1;=&#x03B2;=0.88</sub>. <sub>&#x03BB;</sub> is the loss avoidance coefficient and define <sub>&#x03BB;=2.25</sub>. Decision weights are closely related to objective probability. Therefore, the ratio of the weight with the probability of occurrence <sub><italic>p</italic></sub> to the deterministic weight is taken as the decision weight of gain and loss, which can be expressed as follows:</p>
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<p>Where &#x03B3;and &#x03B4; represent the risk attitude coefficient of gain and loss respectively, and we define <inline-formula><mml:math id="INEQ2"><mml:mrow><mml:mi mathvariant="normal">&#x03B3;</mml:mi><mml:mo>=</mml:mo><mml:mn>0.61</mml:mn></mml:mrow></mml:math></inline-formula> and&#x03B4; = 0.69. Then the comprehensive prospect value matrix can be expressed as follows:<inline-formula><mml:math id="INEQ4"><mml:mrow><mml:mi>V</mml:mi><mml:mo>=</mml:mo><mml:msub><mml:mrow><mml:mo>[</mml:mo><mml:mrow><mml:mi>v</mml:mi><mml:mo>&#x2062;</mml:mo><mml:mrow><mml:mo>(</mml:mo><mml:msub><mml:mi>a</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mo>&#x2062;</mml:mo><mml:mi>j</mml:mi></mml:mrow></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:mrow><mml:mo>]</mml:mo></mml:mrow><mml:mrow><mml:mi>m</mml:mi><mml:mo>&#x00D7;</mml:mo><mml:mi>n</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mpadded width="+3.3pt"><mml:msub><mml:mrow><mml:mo maxsize="120%" minsize="120%">[</mml:mo><mml:mrow><mml:msubsup><mml:mo largeop="true" symmetric="true">&#x2211;</mml:mo><mml:mrow><mml:mrow><mml:mi>h</mml:mi><mml:mo>=</mml:mo><mml:mn>1</mml:mn></mml:mrow><mml:mo>,</mml:mo><mml:mrow><mml:mrow><mml:mi>v</mml:mi><mml:mo>&#x2062;</mml:mo><mml:mrow><mml:mo>(</mml:mo><mml:msub><mml:mi>y</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mo>&#x2062;</mml:mo><mml:mi>j</mml:mi><mml:mo>&#x2062;</mml:mo><mml:mi>h</mml:mi></mml:mrow></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:mrow><mml:mo>&#x2265;</mml:mo><mml:mn>0</mml:mn></mml:mrow></mml:mrow><mml:mi>l</mml:mi></mml:msubsup><mml:mrow><mml:mi>v</mml:mi><mml:mo>&#x2062;</mml:mo><mml:mrow><mml:mo>(</mml:mo><mml:msub><mml:mi>y</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mo>&#x2062;</mml:mo><mml:mi>j</mml:mi><mml:mo>&#x2062;</mml:mo><mml:mi>h</mml:mi></mml:mrow></mml:msub><mml:mo>)</mml:mo></mml:mrow><mml:mo>&#x2062;</mml:mo><mml:msup><mml:mi mathvariant="normal">&#x03C0;</mml:mi><mml:mo>+</mml:mo></mml:msup><mml:mo>&#x2062;</mml:mo><mml:mrow><mml:mo>(</mml:mo><mml:msub><mml:mi>p</mml:mi><mml:mi>j</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:mrow></mml:mrow><mml:mrow><mml:mo>+</mml:mo><mml:mrow><mml:msubsup><mml:mo largeop="true" symmetric="true">&#x2211;</mml:mo><mml:mrow><mml:mrow><mml:mi>h</mml:mi><mml:mo>=</mml:mo><mml:mn>1</mml:mn></mml:mrow><mml:mo>,</mml:mo><mml:mrow><mml:mrow><mml:mi>v</mml:mi><mml:mo>&#x2062;</mml:mo><mml:mrow><mml:mo>(</mml:mo><mml:msub><mml:mi>y</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mo>&#x2062;</mml:mo><mml:mi>j</mml:mi><mml:mo>&#x2062;</mml:mo><mml:mi>h</mml:mi></mml:mrow></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:mrow><mml:mo>&lt;</mml:mo><mml:mn>0</mml:mn></mml:mrow></mml:mrow><mml:mi>l</mml:mi></mml:msubsup><mml:mrow><mml:mi>v</mml:mi><mml:mo>&#x2062;</mml:mo><mml:mrow><mml:mo>(</mml:mo><mml:msub><mml:mi>y</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mo>&#x2062;</mml:mo><mml:mi>j</mml:mi><mml:mo>&#x2062;</mml:mo><mml:mi>h</mml:mi></mml:mrow></mml:msub><mml:mo>)</mml:mo></mml:mrow><mml:mo>&#x2062;</mml:mo><mml:msup><mml:mi mathvariant="normal">&#x03C0;</mml:mi><mml:mo>-</mml:mo></mml:msup><mml:mo>&#x2062;</mml:mo><mml:mrow><mml:mo>(</mml:mo><mml:msub><mml:mi>p</mml:mi><mml:mi>j</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:mrow></mml:mrow></mml:mrow><mml:mo maxsize="120%" minsize="120%">]</mml:mo></mml:mrow><mml:mrow><mml:mi>m</mml:mi><mml:mo rspace="5.8pt">&#x00D7;</mml:mo><mml:mi>n</mml:mi></mml:mrow></mml:msub></mml:mpadded></mml:mrow></mml:math></inline-formula>.</p>
</sec>
<sec id="S3.SS1.SSS3">
<title>VIKOR Method</title>
<p>The measurement criterion of the VIKOR method is developed from the functional form of the compromise programming method. The uncertainty of the partner selection process and the fuzziness of decision-making process can be effectively solved by the VIKOR method.</p>
<p><bold>Step 1:</bold> Set <italic>f</italic><sup>+</sup> as the positive ideal point of the attribute, <italic>f</italic><sup>&#x2212;</sup> as the negative ideal point of the attribute, then</p>
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<p><bold>Step 3:</bold> The values <italic>Q</italic><sub><italic>i</italic></sub> could be calculated by:</p>
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<mml:mi>Q</mml:mi>
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</disp-formula>
<p>Where &#x03B8; is a weight parameter.</p>
</sec>
<sec id="S3.SS1.SSS4">
<title>Combined Weight Method</title>
<p>(1) Entropy weight method</p>
<p>The entropy weight method is an objective way to determine weights according to the basic principle of information theory. The specific steps are as follows.</p>
<p><bold>Step 1:</bold> Standardize the original decision matrix can be expressed as follows:</p>
<disp-formula id="S3.E9">
<label>(9)</label>
<mml:math id="M9">
<mml:mrow>
<mml:msub>
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</disp-formula>
<p><bold>Step 2:</bold> The entropy of each criterion is calculated by:</p>
<disp-formula id="S3.E10">
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<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>&#x2062;</mml:mo>
<mml:mi>j</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mrow>
</mml:mrow>
</mml:mrow>
</mml:mrow>
</mml:mrow>
<mml:mo>,</mml:mo>
<mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mi>p</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>&#x2062;</mml:mo>
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</mml:mrow>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:mfrac>
<mml:msub>
<mml:mi>r</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>&#x2062;</mml:mo>
<mml:mi>j</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mrow>
<mml:msubsup>
<mml:mo largeop="true" symmetric="true">&#x2211;</mml:mo>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>=</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mi>m</mml:mi>
</mml:msubsup>
<mml:msub>
<mml:mi>r</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>&#x2062;</mml:mo>
<mml:mi>j</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
<mml:mo>,</mml:mo>
<mml:mrow>
<mml:mrow>
<mml:mn>0</mml:mn>
<mml:mo>&#x2062;</mml:mo>
<mml:mrow>
<mml:mi>ln</mml:mi>
<mml:mo>&#x2061;</mml:mo>
<mml:mn>0</mml:mn>
</mml:mrow>
</mml:mrow>
<mml:mo>=</mml:mo>
<mml:mn>0</mml:mn>
</mml:mrow>
</mml:mrow>
</mml:mrow>
</mml:math>
</disp-formula>
<p><bold>Step 3:</bold> The normalized criteria weight is computed by:</p>
<disp-formula id="S3.E11">
<label>(11)</label>
<mml:math id="M11">
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="normal">&#x03B1;</mml:mi>
<mml:mi>j</mml:mi>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:mrow>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:mn>1</mml:mn>
<mml:mo>-</mml:mo>
<mml:msub>
<mml:mi>e</mml:mi>
<mml:mi>j</mml:mi>
</mml:msub>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
<mml:mo>&#x2062;</mml:mo>
<mml:mi mathvariant="normal">/</mml:mi>
<mml:mo>&#x2062;</mml:mo>
<mml:mrow>
<mml:munderover>
<mml:mo largeop="true" movablelimits="false" symmetric="true">&#x2211;</mml:mo>
<mml:mrow>
<mml:mi>j</mml:mi>
<mml:mo>=</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mi>n</mml:mi>
</mml:munderover>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:mn>1</mml:mn>
<mml:mo>-</mml:mo>
<mml:msub>
<mml:mi>e</mml:mi>
<mml:mi>j</mml:mi>
</mml:msub>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:mrow>
</mml:mrow>
</mml:math>
</disp-formula>
<p>(2) Analytic hierarchy process method</p>
<p>The analytic hierarchy process (AHP)_ is a subjective weighting method that has strong applicability and operability. In addition, all elements under the same criterion layer are compared in pairs by a 1&#x2013;9 scale method combined with an expert consultation method. Finally, the weights of each factor layer and criterion layer &#x03B2;<sub><italic>j</italic></sub> are calculated (<xref ref-type="bibr" rid="B81">Yin et al., 2022</xref>).</p>
<p>(3) Combination weight</p>
<p>The subjective weight &#x03B2;<sub><italic>j</italic></sub> is obtained by AHP, and the objective weight &#x03B1;<sub><italic>j</italic></sub> is obtained by the entropy weight method. To make the combination weight as close as possible to the subjective and objective weights, the combination weight can be expressed as follows:</p>
<disp-formula id="S3.E12">
<label>(12)</label>
<mml:math id="M12">
<mml:mrow>
<mml:mo>{</mml:mo>
<mml:mtable displaystyle="true" rowspacing="0pt">
<mml:mtr>
<mml:mtd columnalign="left">
<mml:mrow>
<mml:mrow>
<mml:mi>min</mml:mi>
<mml:mo>&#x2061;</mml:mo>
<mml:mi>F</mml:mi>
</mml:mrow>
<mml:mo>=</mml:mo>
<mml:mrow>
<mml:mrow>
<mml:mstyle displaystyle="false">
<mml:msubsup>
<mml:mo largeop="true" symmetric="true">&#x2211;</mml:mo>
<mml:mrow>
<mml:mi>j</mml:mi>
<mml:mo>=</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mi>n</mml:mi>
</mml:msubsup>
</mml:mstyle>
<mml:mrow>
<mml:msub>
<mml:mi>w</mml:mi>
<mml:mi>j</mml:mi>
</mml:msub>
<mml:mo>&#x2062;</mml:mo>
<mml:mrow>
<mml:mo>[</mml:mo>
<mml:mrow>
<mml:mrow>
<mml:mi>ln</mml:mi>
<mml:mo>&#x2061;</mml:mo>
<mml:msub>
<mml:mi>w</mml:mi>
<mml:mi>j</mml:mi>
</mml:msub>
</mml:mrow>
<mml:mo>-</mml:mo>
<mml:mrow>
<mml:mi>ln</mml:mi>
<mml:mo>&#x2061;</mml:mo>
<mml:msub>
<mml:mi mathvariant="normal">&#x03B1;</mml:mi>
<mml:mi>j</mml:mi>
</mml:msub>
</mml:mrow>
</mml:mrow>
<mml:mo>]</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:mrow>
<mml:mo>+</mml:mo>
<mml:mrow>
<mml:mstyle displaystyle="false">
<mml:msubsup>
<mml:mo largeop="true" symmetric="true">&#x2211;</mml:mo>
<mml:mrow>
<mml:mi>j</mml:mi>
<mml:mo>=</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mi>n</mml:mi>
</mml:msubsup>
</mml:mstyle>
<mml:mrow>
<mml:msub>
<mml:mi>w</mml:mi>
<mml:mi>j</mml:mi>
</mml:msub>
<mml:mo>&#x2062;</mml:mo>
<mml:mrow>
<mml:mo>[</mml:mo>
<mml:mrow>
<mml:mrow>
<mml:mi>ln</mml:mi>
<mml:mo>&#x2061;</mml:mo>
<mml:msub>
<mml:mi>w</mml:mi>
<mml:mi>j</mml:mi>
</mml:msub>
</mml:mrow>
<mml:mo>-</mml:mo>
<mml:mrow>
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</mml:mrow>
</mml:mrow>
<mml:mo>]</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:mrow>
</mml:mrow>
</mml:mrow>
</mml:mtd>
</mml:mtr>
<mml:mtr>
<mml:mtd columnalign="left">
<mml:mrow>
<mml:mi>s</mml:mi>
<mml:mo>.</mml:mo>
<mml:mi>t</mml:mi>
<mml:mo>.</mml:mo>
<mml:mrow>
<mml:mrow>
<mml:mrow>
<mml:mstyle displaystyle="false">
<mml:msubsup>
<mml:mo largeop="true" symmetric="true">&#x2211;</mml:mo>
<mml:mrow>
<mml:mi>j</mml:mi>
<mml:mo>=</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mi>n</mml:mi>
</mml:msubsup>
</mml:mstyle>
<mml:msub>
<mml:mi>w</mml:mi>
<mml:mi>j</mml:mi>
</mml:msub>
</mml:mrow>
<mml:mo>=</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mo>,</mml:mo>
<mml:mrow>
<mml:msub>
<mml:mi>w</mml:mi>
<mml:mi>j</mml:mi>
</mml:msub>
<mml:mo>&gt;</mml:mo>
<mml:mn>0</mml:mn>
</mml:mrow>
</mml:mrow>
</mml:mrow>
</mml:mtd>
</mml:mtr>
</mml:mtable>
<mml:mi/>
</mml:mrow>
</mml:math>
</disp-formula>
<p>The Lagrange multiplier method is used to get the combined weight <italic>w</italic><sub><italic>j</italic></sub>:</p>
<disp-formula id="S3.E13">
<label>(13)</label>
<mml:math id="M13">
<mml:mrow>
<mml:msub>
<mml:mi>w</mml:mi>
<mml:mi>j</mml:mi>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:mfrac>
<mml:msup>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="normal">&#x03B1;</mml:mi>
<mml:mi>j</mml:mi>
</mml:msub>
<mml:mo>&#x2062;</mml:mo>
<mml:msub>
<mml:mi mathvariant="normal">&#x03B2;</mml:mi>
<mml:mi>j</mml:mi>
</mml:msub>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
<mml:mrow>
<mml:mpadded width="-1.7pt">
<mml:mpadded depth="-3.0pt" height="+3.0pt">
<mml:mn>1</mml:mn>
</mml:mpadded>
</mml:mpadded>
<mml:mo>&#x2062;</mml:mo>
<mml:mpadded width="-1.7pt">
<mml:mi mathvariant="normal">/</mml:mi>
</mml:mpadded>
<mml:mo>&#x2062;</mml:mo>
<mml:mpadded depth="+3.0pt" height="-3.0pt">
<mml:mn>2</mml:mn>
</mml:mpadded>
</mml:mrow>
</mml:msup>
<mml:mrow>
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<mml:mo largeop="true" symmetric="true">&#x2211;</mml:mo>
<mml:mrow>
<mml:mi>j</mml:mi>
<mml:mo>=</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mi>n</mml:mi>
</mml:msubsup>
<mml:msup>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="normal">&#x03B1;</mml:mi>
<mml:mi>j</mml:mi>
</mml:msub>
<mml:mo>&#x2062;</mml:mo>
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</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
<mml:mrow>
<mml:mpadded width="-1.7pt">
<mml:mpadded depth="-3.0pt" height="+3.0pt">
<mml:mn>1</mml:mn>
</mml:mpadded>
</mml:mpadded>
<mml:mo>&#x2062;</mml:mo>
<mml:mpadded width="-1.7pt">
<mml:mi mathvariant="normal">/</mml:mi>
</mml:mpadded>
<mml:mo>&#x2062;</mml:mo>
<mml:mpadded depth="+3.0pt" height="-3.0pt">
<mml:mn>2</mml:mn>
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</mml:mrow>
</mml:msup>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
</disp-formula>
</sec>
</sec>
<sec id="S3.SS2">
<title>Niche Field Model Based on Niche Theory and Field Theory</title>
<sec id="S3.SS2.SSS1">
<title>Concept and Definition of Niche Field Model</title>
<p>Niche is an extremely important concept in ecology and one of the most important basic theories of ecology. In ecology, different niches have different levels. When agricultural high-end equipment market opportunities arise, AHEM enterprises first respond to this opportunity. AHEM enterprises first use their DGI resources to occupy resource space. When their resources are insufficient to fully occupy the resource space, they have to seek a partner to cooperate with DGI. From the perspective of resource complementarity, a complementary matrix is constructed based on the level of DGI resources of AHEM enterprises and academic research institutes in the niche field model. A niche field is introduced to reflect resource space consisting of all DGI resources, and the field source <sub><italic>O</italic></sub> represents AHEM enterprises that first respond to a certain market opportunity. The niche-fitness of academic research institutes can be transformed into the radius of a niche field based on niche-fitness, namely <sub><italic>R</italic></sub>, which reflects the niche-fitness distance between AHEM enterprises and academic research institutes. In the niche field, the resultant force of academic research institutes is determined by the interaction between attraction and resistance of academic research institutes, namely <sub><italic>F<sub>a</sub></italic></sub> and <sub><italic>F<sub>r</sub></italic></sub>. As time goes by, the value of <sub><italic>R</italic></sub>, <sub><italic>F<sub>a</sub></italic></sub>, and <sub><italic>F<sub>r</sub></italic></sub> change dynamically, and then DGI partners should be dynamically selected or eliminated. In this study, the novel niche field model considering resource complementarity is developed to select the best academic research institute for DGI of AHEM enterprises.</p>
</sec>
<sec id="S3.SS2.SSS2">
<title>Niche-Fitness Mass</title>
<p>Niche-fitness mass of AHEM enterprises and academic research institutes is determined by resource vector and resource utilization ratio. In <italic>N</italic>-dimensional resource space, the resource vector of AHEM enterprises is expressed as <italic>P</italic> = (<italic>p</italic><sub>1</sub>,<italic>p</italic><sub>2</sub>,&#x22EF;,<italic>p</italic><sub><italic>n</italic></sub>), where <italic>n</italic> represents the dimension of the resource space, <italic>p</italic><sub><italic>i</italic></sub> = 1 represents that this innovation resource meets the requirement for DGI, while <italic>p</italic><sub><italic>i</italic></sub> = 0 represents that this innovation resource cannot meet the requirement of DGI. The resource utilization ratio is expressed as <italic>Y</italic> = (<italic>y</italic><sub>1</sub>,<italic>y</italic><sub>2</sub>,&#x22EF;,<italic>y</italic><sub><italic>n</italic></sub>). <italic>y</italic><sub><italic>i</italic></sub> &#x2208; [0,1] and represents the availability of <italic>p</italic><sub><italic>i</italic></sub>. Due to market demand and other factors, the DGI resources will change dynamically at different times. Hence, the time vector <italic>T</italic> is introduced into the niche field model, where <italic>T</italic> = (<italic>t</italic><sub>1</sub>,<italic>t</italic><sub>2</sub>,&#x22EF;,<italic>t</italic><sub><italic>n</italic></sub>). The niche-fitness mass of AHEM enterprises is calculated by:</p>
<disp-formula id="S3.E14">
<label>(14)</label>
<mml:math id="M14">
<mml:mrow>
<mml:msub>
<mml:mi>M</mml:mi>
<mml:mi>T</mml:mi>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:mrow>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mi>T</mml:mi>
</mml:msub>
<mml:mo>&#x00D7;</mml:mo>
<mml:msub>
<mml:mi>Y</mml:mi>
<mml:mi>T</mml:mi>
</mml:msub>
</mml:mrow>
<mml:mo>=</mml:mo>
<mml:mrow>
<mml:munderover>
<mml:mo largeop="true" movablelimits="false" symmetric="true">&#x2211;</mml:mo>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>=</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mi>n</mml:mi>
</mml:munderover>
<mml:mrow>
<mml:msub>
<mml:mi>p</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mo>&#x2062;</mml:mo>
<mml:msub>
<mml:mi>y</mml:mi>
<mml:mrow>
<mml:mn>1</mml:mn>
<mml:mo>&#x2062;</mml:mo>
<mml:mi>i</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mrow>
</mml:mrow>
</mml:math>
</disp-formula>
<p>The resource vector of AHEM enterprises is expressed as <italic>Q</italic> = (<italic>q</italic><sub>1</sub>,<italic>q</italic><sub>2</sub>,&#x22EF;,<italic>q</italic><sub><italic>n</italic></sub>). Resource space saturation vector and resource demand vector, namely <inline-formula><mml:math id="INEQ14"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mi>m</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mover><mml:mover accent="true"><mml:mrow><mml:mo movablelimits="false">(</mml:mo><mml:mn>1</mml:mn><mml:mo movablelimits="false">,</mml:mo><mml:mn>1</mml:mn><mml:mo movablelimits="false">,</mml:mo><mml:mi mathvariant="normal">&#x22EF;</mml:mi><mml:mo movablelimits="false">,</mml:mo><mml:mn>1</mml:mn><mml:mo movablelimits="false">)</mml:mo></mml:mrow><mml:mo movablelimits="false">&#x23DE;</mml:mo></mml:mover><mml:mi>n</mml:mi></mml:mover></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="INEQ15"><mml:mover accent="true"><mml:mi>P</mml:mi><mml:mo>&#x00AF;</mml:mo></mml:mover></mml:math></inline-formula>. The niche fitness mass of academic research institutes is calculated by:</p>
<disp-formula id="S3.E15">
<label>(15)</label>
<mml:math id="M15">
<mml:mrow>
<mml:msub>
<mml:mi>m</mml:mi>
<mml:mi>T</mml:mi>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mi>m</mml:mi>
</mml:msub>
<mml:mo>&#x2295;</mml:mo>
<mml:mi>P</mml:mi>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
<mml:mo>&#x2062;</mml:mo>
<mml:mrow>
<mml:mo largeop="true" mathsize="160%" movablelimits="false" stretchy="false" symmetric="true">&#x22C2;</mml:mo>
<mml:mi>Q</mml:mi>
</mml:mrow>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
<mml:mo>=</mml:mo>
<mml:mrow>
<mml:munderover>
<mml:mo largeop="true" movablelimits="false" symmetric="true">&#x2211;</mml:mo>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>=</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mi>n</mml:mi>
</mml:munderover>
<mml:mrow>
<mml:mrow>
<mml:mo>[</mml:mo>
<mml:mrow>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:mn>1</mml:mn>
<mml:mo>&#x2295;</mml:mo>
<mml:msub>
<mml:mi>p</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
<mml:mo>&#x2062;</mml:mo>
<mml:mi mathvariant="normal">&#x2227;</mml:mi>
<mml:mo>&#x2062;</mml:mo>
<mml:msub>
<mml:mi>q</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:mrow>
<mml:mo>]</mml:mo>
</mml:mrow>
<mml:mo>&#x2062;</mml:mo>
<mml:msub>
<mml:mi>y</mml:mi>
<mml:mrow>
<mml:mn>2</mml:mn>
<mml:mo>&#x2062;</mml:mo>
<mml:mi>i</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mrow>
</mml:mrow>
</mml:math>
</disp-formula>
</sec>
<sec id="S3.SS2.SSS3">
<title>Field Strength and Attraction</title>
<p>The field strength of the niche field reflects the influence intensity of the AHEM enterprises on the academic research institutes. The field strength <italic>E</italic> is expressed as:</p>
<disp-formula id="S3.E16">
<label>(16)</label>
<mml:math id="M16">
<mml:mrow>
<mml:msub>
<mml:mi>E</mml:mi>
<mml:mi>T</mml:mi>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:mrow>
<mml:mi mathvariant="normal">&#x03B4;</mml:mi>
<mml:mo>&#x2062;</mml:mo>
<mml:mi>K</mml:mi>
<mml:mo>&#x2062;</mml:mo>
<mml:mfrac>
<mml:msub>
<mml:mi>M</mml:mi>
<mml:mi>T</mml:mi>
</mml:msub>
<mml:msubsup>
<mml:mi>R</mml:mi>
<mml:mi>T</mml:mi>
<mml:mn>2</mml:mn>
</mml:msubsup>
</mml:mfrac>
</mml:mrow>
</mml:mrow>
</mml:math>
</disp-formula>
<p>Where &#x03B4; represents the parameter that affects the niche field environment, &#x03B4; &#x2208; [0,1]. <italic>K</italic> represents the niche effect produced by AHEM enterprises and academic research institutes. Let <italic>Z</italic><sub><italic>T</italic></sub> be the mass increment; it is calculated by:</p>
<disp-formula id="S3.E17">
<label>(17)</label>
<mml:math id="M17">
<mml:mrow>
<mml:msub>
<mml:mi>K</mml:mi>
<mml:mi>T</mml:mi>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:mfrac>
<mml:msub>
<mml:mi>Z</mml:mi>
<mml:mi>T</mml:mi>
</mml:msub>
<mml:mrow>
<mml:msub>
<mml:mi>M</mml:mi>
<mml:mi>T</mml:mi>
</mml:msub>
<mml:mo>+</mml:mo>
<mml:msub>
<mml:mi>m</mml:mi>
<mml:mi>T</mml:mi>
</mml:msub>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
</disp-formula>
<p>Attraction reflects the recognition or attraction of AHEM enterprises to academic research institutes in a niche field, and the attraction is calculated by</p>
<disp-formula id="S3.E18">
<label>(18)</label>
<mml:math id="M18">
<mml:mrow>
<mml:msub>
<mml:mi>F</mml:mi>
<mml:mrow>
<mml:mi>r</mml:mi>
<mml:mo>&#x2062;</mml:mo>
<mml:mi>T</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:mrow>
<mml:msub>
<mml:mi>E</mml:mi>
<mml:mi>T</mml:mi>
</mml:msub>
<mml:mo>&#x00D7;</mml:mo>
<mml:msub>
<mml:mi>m</mml:mi>
<mml:mi>T</mml:mi>
</mml:msub>
</mml:mrow>
<mml:mo>=</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:msub>
<mml:mi>Z</mml:mi>
<mml:mi>T</mml:mi>
</mml:msub>
<mml:mo>&#x2062;</mml:mo>
<mml:msub>
<mml:mi>M</mml:mi>
<mml:mi>T</mml:mi>
</mml:msub>
<mml:mo>&#x2062;</mml:mo>
<mml:msub>
<mml:mi>m</mml:mi>
<mml:mi>T</mml:mi>
</mml:msub>
</mml:mrow>
<mml:mrow>
<mml:msubsup>
<mml:mi>R</mml:mi>
<mml:mi>T</mml:mi>
<mml:mn>2</mml:mn>
</mml:msubsup>
<mml:mo>&#x2062;</mml:mo>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:msub>
<mml:mi>M</mml:mi>
<mml:mi>T</mml:mi>
</mml:msub>
<mml:mo>+</mml:mo>
<mml:msub>
<mml:mi>m</mml:mi>
<mml:mi>T</mml:mi>
</mml:msub>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
</disp-formula>
</sec>
<sec id="S3.SS2.SSS4">
<title>Radius of a Niche Field</title>
<p>The radius of the niche field reflects the niche-fitness distance between AHEM enterprises and academic research institutes. Let <italic>C</italic><sub><italic>f</italic></sub> be the value of the character, ability, and compatibility of AHEM enterprises, and academic research institutes. Let <italic>C</italic> be the quality and capability of the research institution. The radius of the niche field is calculated by</p>
<disp-formula id="S3.E19">
<label>(19)</label>
<mml:math id="M19">
<mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mi>R</mml:mi>
<mml:mi>T</mml:mi>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:mrow>
<mml:mrow>
<mml:mn>1</mml:mn>
<mml:mo>+</mml:mo>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mi>f</mml:mi>
</mml:msub>
</mml:mrow>
<mml:mo>-</mml:mo>
<mml:mi>C</mml:mi>
</mml:mrow>
</mml:mrow>
<mml:mo>,</mml:mo>
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mo>&#x2208;</mml:mo>
<mml:mrow>
<mml:mo>[</mml:mo>
<mml:mn>0</mml:mn>
<mml:mo>,</mml:mo>
<mml:mn>1</mml:mn>
<mml:mo>]</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:mrow>
</mml:math>
</disp-formula>
<p>The radius of the niche field is calculated by <italic>R</italic><sub><italic>T</italic></sub>=2&#x2013;<italic>C</italic>. The radius of the niche field in this study is divided into four levels shown. The four levels of the radius include high niche-fitness (0, <italic>R</italic><sub><italic>1</italic></sub>], medium niche-fitness (<italic>R</italic><sub><italic>1</italic></sub>, <italic>R</italic><sub><italic>2</italic></sub>], low niche-fitness (<italic>R</italic><sub><italic>2</italic></sub>, <italic>R</italic><sub><italic>3</italic></sub>], and zero niche-fitness (<italic>R</italic><sub><italic>3</italic></sub>, &#x221E;).</p>
<p>Resistance of academic research institutes reflects the opportunity cost and risk cost of academic research institutes joining the AHEM system, where and represent the opportunity cost and the risk cost, respectively. It is calculated by:</p>
<disp-formula id="S3.E20">
<label>(20)</label>
<mml:math id="M20">
<mml:mrow>
<mml:msub>
<mml:mi>F</mml:mi>
<mml:mi>r</mml:mi>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:mrow>
<mml:msub>
<mml:mi>D</mml:mi>
<mml:mn>1</mml:mn>
</mml:msub>
<mml:mo>+</mml:mo>
<mml:msub>
<mml:mi>D</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
</mml:mrow>
</mml:mrow>
</mml:math>
</disp-formula>
</sec>
<sec id="S3.SS2.SSS5">
<title>Dynamic Analysis of Niche Field</title>
<p>To improve DGI ability, AHEM enterprises should eliminate one or more academic research institutes that cannot meet the standards of character, ability, compatibility, and resource complementarity, and select one or more partners that meet their requirements. In this process, the niche-fitness mass, field strength, and radius have also been changed.</p>
<p>(1) Let <italic>Q</italic><sub><italic>t</italic></sub> denote the niche-fitness mass of academic research institutes at a time <italic>t</italic>, and the new niche-fitness mass is calculated by</p>
<disp-formula id="S3.E21">
<label>(21)</label>
<mml:math id="M21">
<mml:mrow>
<mml:msub>
<mml:mi>M</mml:mi>
<mml:mrow>
<mml:mi>t</mml:mi>
<mml:mo>+</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mi>M</mml:mi>
<mml:mi>t</mml:mi>
</mml:msub>
<mml:mo>+</mml:mo>
<mml:msub>
<mml:mi>m</mml:mi>
<mml:mi>t</mml:mi>
</mml:msub>
</mml:mrow>
<mml:mo>-</mml:mo>
<mml:msub>
<mml:mi>Q</mml:mi>
<mml:mi>t</mml:mi>
</mml:msub>
</mml:mrow>
</mml:mrow>
</mml:math>
</disp-formula>
<p>(2) The field strength of niche field has also been changed, and the new field strength is calculated by</p>
<disp-formula id="S3.E22">
<label>(22)</label>
<mml:math id="M22">
<mml:mrow>
<mml:msub>
<mml:mi>E</mml:mi>
<mml:mrow>
<mml:mi>t</mml:mi>
<mml:mo>+</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:mrow>
<mml:msub>
<mml:mi>K</mml:mi>
<mml:mrow>
<mml:mi>t</mml:mi>
<mml:mo>+</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2062;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mi>M</mml:mi>
<mml:mi>t</mml:mi>
</mml:msub>
<mml:mo>+</mml:mo>
<mml:msub>
<mml:mi>m</mml:mi>
<mml:mi>t</mml:mi>
</mml:msub>
</mml:mrow>
<mml:mo>-</mml:mo>
<mml:msub>
<mml:mi>Q</mml:mi>
<mml:mi>t</mml:mi>
</mml:msub>
</mml:mrow>
<mml:msubsup>
<mml:mi>R</mml:mi>
<mml:mrow>
<mml:mi>t</mml:mi>
<mml:mo>+</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mn>2</mml:mn>
</mml:msubsup>
</mml:mfrac>
</mml:mrow>
</mml:mrow>
</mml:math>
</disp-formula>
<p>At the same time, the circle density of the niche field has also been changed.</p>
<p>(3) The resistance of willingness to cooperate has changed or even multiplied. At this time, the resistance of willingness is expressed as <italic>F</italic><sub>(<italic>t</italic> + 1)<italic>W</italic></sub> = &#x03B7;<italic>M</italic><sub><italic>t</italic> + 1</sub>. The external partners of the AHEM system are also affected by the interaction between attraction<italic>F</italic><sub><italic>TG</italic></sub> and resistance <italic>F</italic><sub><italic>TW</italic></sub> and are shown in <xref ref-type="fig" rid="F3">Figure 3</xref>.</p>
<fig id="F3" position="float">
<label>FIGURE 3</label>
<caption><p>The internal and external forces of DGI partners.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fpsyg-13-924109-g003.tif"/>
</fig>
</sec>
</sec>
</sec>
<sec id="S4">
<title>Empirical Study</title>
<sec id="S4.SS1">
<title>Empirical Background</title>
<p>Chenguang Biotech Group Co., Ltd founded in 2000 is a collection of intensive processing of agricultural products and natural plant extraction as one of the export earning enterprises located in Quzhou County, Hebei Province. With advanced equipment and technology and a scientific and efficient technology innovation system, the company owns more than 20 national patented technologies and has built the first provincial natural pigment engineering technology research center in the industry. The technology center of the company has been identified as the national enterprise technology center. At present, one of the important issues is how to develop AHEM and enhance capacity for DGI. The AHEM enterprise needs to select an appropriate DGI partner from these academic research institutions for carrying out the DGI activities of AHEM. In recent years, there are seven academic research institutes carrying out DGI innovation activities, and one or more partners should be selected from these academic research institutions for the AHEM enterprise. In addition, all these academic research institutes are willing to carry out the DGI activities of AHEM.</p>
<p>Although the AHEM enterprise has some experience in partner selection, it is still a difficult problem for the AHEM enterprise to select the best DGI partner. However, the complementary resources used to innovate the AHEM are gradually valued by the AHEM enterprise experts and have become an important factor influencing the success rate of the AHEM enterprise. Moreover, it is difficult to accurately describe the real situation of academic research institution partners by defining real numbers. In fact, exact numbers cannot be used to accurately reflect the real situation of academic research institutions. In the study, the rationality and matching of resource complementarity and partner selection are developed to select the best academic research institute based on the niche field theory.</p>
</sec>
<sec id="S4.SS2">
<title>Empirical Elements</title>
<sec id="S4.SS2.SSS1">
<title>Development of Evaluation Criteria</title>
<p>In order to evaluate the niche fitness of candidate DGI partners, niche fitness is introduced. The theory has a solid theoretical foundation and can meet the requirements of digital innovation and green innovation. The criterion of niche fitness evaluation usually comes from niche strength and niche overlap degree. In the AHEM system, niche strength is the state of academic research institutes, and is the result of past growth, development, and interaction with the innovation environment. The degree of niche overlap is the actual influence or dominance of academic research institutes on AHEM enterprises and reflects their collaborative development trend. <xref ref-type="fig" rid="F2">Figure 2</xref> illustrates the criteria framework.</p>
</sec>
<sec id="S4.SS2.SSS2">
<title>Data and Scenarios</title>
<p>In the study, ten members in two expert panels are randomly selected from the four related fields: digital innovation, green innovation, business cooperation, and AHEM. These experts are divided into two expert panels. The first expert panel includes five members focusing on DGI, while the second expert panel includes five members focusing on AHEM. The language variables used to evaluate the comprehensive level of academic research institutions are shown in <xref ref-type="table" rid="T1">Table 1</xref>. The score matrix of academic research institutions provided by DGI experts is shown in <xref ref-type="table" rid="T2">Table 2</xref>, and the matrix provided by AHEM experts is presented in <xref ref-type="table" rid="T3">Table 3</xref>.</p>
<table-wrap position="float" id="T2">
<label>TABLE 2</label>
<caption><p>The evaluation matrix of academic institutions provided by DGI experts.</p></caption>
<table cellspacing="5" cellpadding="5" frame="hsides" rules="groups">
<thead>
<tr>
<td valign="top" align="left"></td>
<td valign="top" align="center">C11</td>
<td valign="top" align="center">C12</td>
<td valign="top" align="center">C13</td>
<td valign="top" align="center">C14</td>
<td valign="top" align="center">C21</td>
<td valign="top" align="center">C22</td>
<td valign="top" align="center">C23</td>
<td valign="top" align="center">C24</td>
<td valign="top" align="center">C31</td>
<td valign="top" align="center">C32</td>
<td valign="top" align="center">C33</td>
<td valign="top" align="center">C34</td>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">GIP1</td>
<td valign="top" align="center">MP</td>
<td valign="top" align="center">G</td>
<td valign="top" align="center">M</td>
<td valign="top" align="center">P</td>
<td valign="top" align="center">M</td>
<td valign="top" align="center">MG</td>
<td valign="top" align="center">M</td>
<td valign="top" align="center">M</td>
<td valign="top" align="center">VG</td>
<td valign="top" align="center">G</td>
<td valign="top" align="center">P</td>
<td valign="top" align="center">M</td>
</tr>
<tr>
<td valign="top" align="left">GIP2</td>
<td valign="top" align="center">P</td>
<td valign="top" align="center">P</td>
<td valign="top" align="center">G</td>
<td valign="top" align="center">M</td>
<td valign="top" align="center">VG</td>
<td valign="top" align="center">M</td>
<td valign="top" align="center">P</td>
<td valign="top" align="center">MG</td>
<td valign="top" align="center">M</td>
<td valign="top" align="center">VP</td>
<td valign="top" align="center">VP</td>
<td valign="top" align="center">MP</td>
</tr>
<tr>
<td valign="top" align="left">GIP3</td>
<td valign="top" align="center">M</td>
<td valign="top" align="center">VP</td>
<td valign="top" align="center">MG</td>
<td valign="top" align="center">G</td>
<td valign="top" align="center">MP</td>
<td valign="top" align="center">P</td>
<td valign="top" align="center">MG</td>
<td valign="top" align="center">P</td>
<td valign="top" align="center">M</td>
<td valign="top" align="center">MP</td>
<td valign="top" align="center">MG</td>
<td valign="top" align="center">VP</td>
</tr>
<tr>
<td valign="top" align="left">GIP4</td>
<td valign="top" align="center">MG</td>
<td valign="top" align="center">M</td>
<td valign="top" align="center">M</td>
<td valign="top" align="center">VG</td>
<td valign="top" align="center">MG</td>
<td valign="top" align="center">G</td>
<td valign="top" align="center">VP</td>
<td valign="top" align="center">VP</td>
<td valign="top" align="center">VP</td>
<td valign="top" align="center">VG</td>
<td valign="top" align="center">VG</td>
<td valign="top" align="center">M</td>
</tr>
<tr>
<td valign="top" align="left">GIP5</td>
<td valign="top" align="center">VG</td>
<td valign="top" align="center">G</td>
<td valign="top" align="center">P</td>
<td valign="top" align="center">MP</td>
<td valign="top" align="center">G</td>
<td valign="top" align="center">MP</td>
<td valign="top" align="center">G</td>
<td valign="top" align="center">M</td>
<td valign="top" align="center">MP</td>
<td valign="top" align="center">G</td>
<td valign="top" align="center">M</td>
<td valign="top" align="center">G</td>
</tr>
<tr>
<td valign="top" align="left">GIP6</td>
<td valign="top" align="center">G</td>
<td valign="top" align="center">VG</td>
<td valign="top" align="center">VP</td>
<td valign="top" align="center">G</td>
<td valign="top" align="center">M</td>
<td valign="top" align="center">G</td>
<td valign="top" align="center">M</td>
<td valign="top" align="center">M</td>
<td valign="top" align="center">MG</td>
<td valign="top" align="center">M</td>
<td valign="top" align="center">MP</td>
<td valign="top" align="center">MG</td>
</tr>
<tr>
<td valign="top" align="left">GIP7</td>
<td valign="top" align="center">MP</td>
<td valign="top" align="center">P</td>
<td valign="top" align="center">MP</td>
<td valign="top" align="center">MG</td>
<td valign="top" align="center">MP</td>
<td valign="top" align="center">VG</td>
<td valign="top" align="center">G</td>
<td valign="top" align="center">VG</td>
<td valign="top" align="center">M</td>
<td valign="top" align="center">MP</td>
<td valign="top" align="center">G</td>
<td valign="top" align="center">VP</td>
</tr>
</tbody>
</table></table-wrap>
<table-wrap position="float" id="T3">
<label>TABLE 3</label>
<caption><p>The evaluation matrix of academic institutions provided by AHEE experts.</p></caption>
<table cellspacing="5" cellpadding="5" frame="hsides" rules="groups">
<thead>
<tr>
<td valign="top" align="left"></td>
<td valign="top" align="center">C11</td>
<td valign="top" align="center">C12</td>
<td valign="top" align="center">C13</td>
<td valign="top" align="center">C14</td>
<td valign="top" align="center">C21</td>
<td valign="top" align="center">C22</td>
<td valign="top" align="center">C23</td>
<td valign="top" align="center">C24</td>
<td valign="top" align="center">C31</td>
<td valign="top" align="center">C32</td>
<td valign="top" align="center">C33</td>
<td valign="top" align="center">C34</td>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">GIP1</td>
<td valign="top" align="center">VP</td>
<td valign="top" align="center">VG</td>
<td valign="top" align="center">G</td>
<td valign="top" align="center">MP</td>
<td valign="top" align="center">P</td>
<td valign="top" align="center">G</td>
<td valign="top" align="center">G</td>
<td valign="top" align="center">G</td>
<td valign="top" align="center">MG</td>
<td valign="top" align="center">MG</td>
<td valign="top" align="center">M</td>
<td valign="top" align="center">G</td>
</tr>
<tr>
<td valign="top" align="left">GIP2</td>
<td valign="top" align="center">MP</td>
<td valign="top" align="center">MP</td>
<td valign="top" align="center">M</td>
<td valign="top" align="center">G</td>
<td valign="top" align="center">G</td>
<td valign="top" align="center">MP</td>
<td valign="top" align="center">M</td>
<td valign="top" align="center">MG</td>
<td valign="top" align="center">M</td>
<td valign="top" align="center">M</td>
<td valign="top" align="center">VP</td>
<td valign="top" align="center">M</td>
</tr>
<tr>
<td valign="top" align="left">GIP3</td>
<td valign="top" align="center">G</td>
<td valign="top" align="center">P</td>
<td valign="top" align="center">VG</td>
<td valign="top" align="center">MG</td>
<td valign="top" align="center">M</td>
<td valign="top" align="center">M</td>
<td valign="top" align="center">M</td>
<td valign="top" align="center">P</td>
<td valign="top" align="center">MP</td>
<td valign="top" align="center">MP</td>
<td valign="top" align="center">MG</td>
<td valign="top" align="center">MP</td>
</tr>
<tr>
<td valign="top" align="left">GIP4</td>
<td valign="top" align="center">M</td>
<td valign="top" align="center">G</td>
<td valign="top" align="center">P</td>
<td valign="top" align="center">M</td>
<td valign="top" align="center">P</td>
<td valign="top" align="center">MG</td>
<td valign="top" align="center">P</td>
<td valign="top" align="center">VP</td>
<td valign="top" align="center">M</td>
<td valign="top" align="center">G</td>
<td valign="top" align="center">VG</td>
<td valign="top" align="center">G</td>
</tr>
<tr>
<td valign="top" align="left">GIP5</td>
<td valign="top" align="center">MG</td>
<td valign="top" align="center">M</td>
<td valign="top" align="center">MP</td>
<td valign="top" align="center">P</td>
<td valign="top" align="center">VG</td>
<td valign="top" align="center">M</td>
<td valign="top" align="center">MP</td>
<td valign="top" align="center">P</td>
<td valign="top" align="center">VP</td>
<td valign="top" align="center">MG</td>
<td valign="top" align="center">M</td>
<td valign="top" align="center">MP</td>
</tr>
<tr>
<td valign="top" align="left">GIP6</td>
<td valign="top" align="center">P</td>
<td valign="top" align="center">G</td>
<td valign="top" align="center">M</td>
<td valign="top" align="center">VG</td>
<td valign="top" align="center">MG</td>
<td valign="top" align="center">P</td>
<td valign="top" align="center">VP</td>
<td valign="top" align="center">MP</td>
<td valign="top" align="center">G</td>
<td valign="top" align="center">P</td>
<td valign="top" align="center">P</td>
<td valign="top" align="center">MG</td>
</tr>
<tr>
<td valign="top" align="left">GIP7</td>
<td valign="top" align="center">M</td>
<td valign="top" align="center">VP</td>
<td valign="top" align="center">G</td>
<td valign="top" align="center">G</td>
<td valign="top" align="center">M</td>
<td valign="top" align="center">MP</td>
<td valign="top" align="center">MG</td>
<td valign="top" align="center">M</td>
<td valign="top" align="center">MG</td>
<td valign="top" align="center">VP</td>
<td valign="top" align="center">MP</td>
<td valign="top" align="center">P</td>
</tr>
</tbody>
</table></table-wrap>
<p>In addition, the DGI resource of AHEM is shown in <xref ref-type="table" rid="T4">Table 4</xref>, where &#x201C;1&#x201D; indicates that the innovation body has the DGI resource of AHEM and &#x201C;0&#x201D; indicates that the innovation body lacks the DGI resource of AHEM. The utilization rate of the DGI resource is presented in &#x201C;()&#x201D;. <italic>C</italic><sub><italic>11</italic></sub> &#x2013; <italic>C</italic><sub><italic>14</italic></sub>, <italic>C</italic><sub><italic>21</italic></sub> &#x2013; <italic>C</italic><sub><italic>24</italic></sub>, and <italic>C</italic><sub><italic>31</italic></sub> &#x2013; <italic>C</italic><sub><italic>34</italic></sub> represent the 12 sub-criteria; <italic>GIP</italic><sub>1</sub> &#x2013; <italic>GIP</italic><sub><italic>7</italic></sub> represents academic research institutions, and <italic>GBTsR</italic><sub><italic>1</italic></sub> &#x2013; <italic>GBTsR</italic><sub><italic>8</italic></sub> represents the complementary resources.</p>
<table-wrap position="float" id="T4">
<label>TABLE 4</label>
<caption><p>The status of DGI resources of AHEM.</p></caption>
<table cellspacing="5" cellpadding="5" frame="hsides" rules="groups">
<thead>
<tr>
<td valign="top" align="left"></td>
<td valign="top" align="center">GBTsR1</td>
<td valign="top" align="center">GBTsR2</td>
<td valign="top" align="center">GBTsR3</td>
<td valign="top" align="center">GBTsR4</td>
<td valign="top" align="center">GBTsR5</td>
<td valign="top" align="center">GBTsR6</td>
<td valign="top" align="center">GBTsR7</td>
<td valign="top" align="center">GBTsR8</td>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">GBE</td>
<td valign="top" align="center">1</td>
<td valign="top" align="center">0</td>
<td valign="top" align="center">1</td>
<td valign="top" align="center">1</td>
<td valign="top" align="center">0</td>
<td valign="top" align="center">1</td>
<td valign="top" align="center">0</td>
<td valign="top" align="center">0</td>
</tr>
<tr>
<td/>
<td valign="top" align="center">0.85</td>
<td valign="top" align="center">0.20</td>
<td valign="top" align="center">0.85</td>
<td valign="top" align="center">0.80</td>
<td valign="top" align="center">0.15</td>
<td valign="top" align="center">0.70</td>
<td valign="top" align="center">0.25</td>
<td valign="top" align="center">0.20</td>
</tr>
<tr>
<td valign="top" align="left">GIP1</td>
<td valign="top" align="center">0</td>
<td valign="top" align="center">1</td>
<td valign="top" align="center">0</td>
<td valign="top" align="center">0</td>
<td valign="top" align="center">1</td>
<td valign="top" align="center">0</td>
<td valign="top" align="center">1</td>
<td valign="top" align="center">0</td>
</tr>
<tr>
<td/>
<td valign="top" align="center">0.25</td>
<td valign="top" align="center">0.85</td>
<td valign="top" align="center">0.25</td>
<td valign="top" align="center">0.25</td>
<td valign="top" align="center">0.65</td>
<td valign="top" align="center">0.20</td>
<td valign="top" align="center">0.75</td>
<td valign="top" align="center">0.25</td>
</tr>
<tr>
<td valign="top" align="left">GIP2</td>
<td valign="top" align="center">0</td>
<td valign="top" align="center">1</td>
<td valign="top" align="center">0</td>
<td valign="top" align="center">1</td>
<td valign="top" align="center">0</td>
<td valign="top" align="center">1</td>
<td valign="top" align="center">1</td>
<td valign="top" align="center">0</td>
</tr>
<tr>
<td/>
<td valign="top" align="center">0.55</td>
<td valign="top" align="center">0.55</td>
<td valign="top" align="center">0.25</td>
<td valign="top" align="center">0.75</td>
<td valign="top" align="center">0.30</td>
<td valign="top" align="center">0.65</td>
<td valign="top" align="center">0.85</td>
<td valign="top" align="center">0.20</td>
</tr>
<tr>
<td valign="top" align="left">GIP3</td>
<td valign="top" align="center">1</td>
<td valign="top" align="center">0</td>
<td valign="top" align="center">0</td>
<td valign="top" align="center">1</td>
<td valign="top" align="center">0</td>
<td valign="top" align="center">0</td>
<td valign="top" align="center">1</td>
<td valign="top" align="center">1</td>
</tr>
<tr>
<td/>
<td valign="top" align="center">0.65</td>
<td valign="top" align="center">0.25</td>
<td valign="top" align="center">0.30</td>
<td valign="top" align="center">0.85</td>
<td valign="top" align="center">0.25</td>
<td valign="top" align="center">0.50</td>
<td valign="top" align="center">0.75</td>
<td valign="top" align="center">0.80</td>
</tr>
<tr>
<td valign="top" align="left">GIP4</td>
<td valign="top" align="center">0</td>
<td valign="top" align="center">0</td>
<td valign="top" align="center">1</td>
<td valign="top" align="center">1</td>
<td valign="top" align="center">0</td>
<td valign="top" align="center">1</td>
<td valign="top" align="center">0</td>
<td valign="top" align="center">1</td>
</tr>
<tr>
<td/>
<td valign="top" align="center">0.25</td>
<td valign="top" align="center">0.35</td>
<td valign="top" align="center">0.75</td>
<td valign="top" align="center">0.85</td>
<td valign="top" align="center">0.20</td>
<td valign="top" align="center">0.80</td>
<td valign="top" align="center">0.35</td>
<td valign="top" align="center">0.95</td>
</tr>
<tr>
<td valign="top" align="left">GIP5</td>
<td valign="top" align="center">0</td>
<td valign="top" align="center">1</td>
<td valign="top" align="center">1</td>
<td valign="top" align="center">0</td>
<td valign="top" align="center">1</td>
<td valign="top" align="center">0</td>
<td valign="top" align="center">1</td>
<td valign="top" align="center">1</td>
</tr>
<tr>
<td/>
<td valign="top" align="center">0.35</td>
<td valign="top" align="center">0.65</td>
<td valign="top" align="center">0.75</td>
<td valign="top" align="center">0.30</td>
<td valign="top" align="center">0.65</td>
<td valign="top" align="center">0.35</td>
<td valign="top" align="center">0.75</td>
<td valign="top" align="center">0.65</td>
</tr>
<tr>
<td valign="top" align="left">GIP6</td>
<td valign="top" align="center">0</td>
<td valign="top" align="center">1</td>
<td valign="top" align="center">0</td>
<td valign="top" align="center">1</td>
<td valign="top" align="center">1</td>
<td valign="top" align="center">0</td>
<td valign="top" align="center">0</td>
<td valign="top" align="center">1</td>
</tr>
<tr>
<td/>
<td valign="top" align="center">0.25</td>
<td valign="top" align="center">0.85</td>
<td valign="top" align="center">0.35</td>
<td valign="top" align="center">0.65</td>
<td valign="top" align="center">0.75</td>
<td valign="top" align="center">0.20</td>
<td valign="top" align="center">0.30</td>
<td valign="top" align="center">0.65</td>
</tr>
<tr>
<td valign="top" align="left">GIP7</td>
<td valign="top" align="center">0</td>
<td valign="top" align="center">0</td>
<td valign="top" align="center">1</td>
<td valign="top" align="center">0</td>
<td valign="top" align="center">1</td>
<td valign="top" align="center">0</td>
<td valign="top" align="center">1</td>
<td valign="top" align="center">0</td>
</tr>
<tr>
<td/>
<td valign="top" align="center">0.25</td>
<td valign="top" align="center">0.30</td>
<td valign="top" align="center">0.65</td>
<td valign="top" align="center">0.35</td>
<td valign="top" align="center">0.85</td>
<td valign="top" align="center">0.25</td>
<td valign="top" align="center">0.75</td>
<td valign="top" align="center">0.35</td>
</tr>
</tbody>
</table></table-wrap>
</sec>
</sec>
<sec id="S4.SS3">
<title>Results and Discussion</title>
<sec id="S4.SS3.SSS1" sec-type="results">
<title>Results</title>
<p>(1) The niche-fitness evaluation of academic research institutes</p>
<p><bold>Step 1:</bold> The two matrices given by DGI and AHEM experts are transformed into two defuzzied matrices based on <xref ref-type="table" rid="T2">Table 2</xref>, and the two defuzzied matrices are presented in <xref ref-type="table" rid="T5">Tables 5</xref>, <xref ref-type="table" rid="T6">6</xref>.</p>
<table-wrap position="float" id="T5">
<label>TABLE 5</label>
<caption><p>The matrix of defuzzification given by DGI experts.</p></caption>
<table cellspacing="5" cellpadding="5" frame="hsides" rules="groups">
<thead>
<tr>
<td valign="top" align="left"></td>
<td valign="top" align="center">C11</td>
<td valign="top" align="center">C12</td>
<td valign="top" align="center">C13</td>
<td valign="top" align="center">C14</td>
<td valign="top" align="center">C21</td>
<td valign="top" align="center">C22</td>
<td valign="top" align="center">C23</td>
<td valign="top" align="center">C24</td>
<td valign="top" align="center">C31</td>
<td valign="top" align="center">C32</td>
<td valign="top" align="center">C33</td>
<td valign="top" align="center">C34</td>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">GIP1</td>
<td valign="top" align="center">0.0055</td>
<td valign="top" align="center">0.2683</td>
<td valign="top" align="center">0.2138</td>
<td valign="top" align="center">0.0690</td>
<td valign="top" align="center">0.0305</td>
<td valign="top" align="center">0.2678</td>
<td valign="top" align="center">0.2915</td>
<td valign="top" align="center">0.3317</td>
<td valign="top" align="center">0.1942</td>
<td valign="top" align="center">0.2162</td>
<td valign="top" align="center">0.1598</td>
<td valign="top" align="center">0.2407</td>
</tr>
<tr>
<td valign="top" align="left">GIP2</td>
<td valign="top" align="center">0.0990</td>
<td valign="top" align="center">0.0818</td>
<td valign="top" align="center">0.1210</td>
<td valign="top" align="center">0.2042</td>
<td valign="top" align="center">0.2325</td>
<td valign="top" align="center">0.0910</td>
<td valign="top" align="center">0.1650</td>
<td valign="top" align="center">0.2630</td>
<td valign="top" align="center">0.1388</td>
<td valign="top" align="center">0.1548</td>
<td valign="top" align="center">0.0053</td>
<td valign="top" align="center">0.1362</td>
</tr>
<tr>
<td valign="top" align="left">GIP3</td>
<td valign="top" align="center">0.2915</td>
<td valign="top" align="center">0.3167</td>
<td valign="top" align="center">0.2098</td>
<td valign="top" align="center">0.1618</td>
<td valign="top" align="center">0.1318</td>
<td valign="top" align="center">0.1518</td>
<td valign="top" align="center">0.3135</td>
<td valign="top" align="center">0.0442</td>
<td valign="top" align="center">0.0832</td>
<td valign="top" align="center">0.0930</td>
<td valign="top" align="center">0.2232</td>
<td valign="top" align="center">0.0818</td>
</tr>
<tr>
<td valign="top" align="left">GIP4</td>
<td valign="top" align="center">0.1650</td>
<td valign="top" align="center">0.2407</td>
<td valign="top" align="center">0.0282</td>
<td valign="top" align="center">0.1152</td>
<td valign="top" align="center">0.0305</td>
<td valign="top" align="center">0.2122</td>
<td valign="top" align="center">0.0385</td>
<td valign="top" align="center">0.0063</td>
<td valign="top" align="center">0.1388</td>
<td valign="top" align="center">0.2728</td>
<td valign="top" align="center">0.3137</td>
<td valign="top" align="center">0.2407</td>
</tr>
<tr>
<td valign="top" align="left">GIP5</td>
<td valign="top" align="center">0.2310</td>
<td valign="top" align="center">0.1362</td>
<td valign="top" align="center">0.0728</td>
<td valign="top" align="center">0.0268</td>
<td valign="top" align="center">0.2587</td>
<td valign="top" align="center">0.1518</td>
<td valign="top" align="center">0.7425</td>
<td valign="top" align="center">0.0442</td>
<td valign="top" align="center">0.0047</td>
<td valign="top" align="center">0.2162</td>
<td valign="top" align="center">0.4532</td>
<td valign="top" align="center">0.0818</td>
</tr>
<tr>
<td valign="top" align="left">GIP6</td>
<td valign="top" align="center">0.0385</td>
<td valign="top" align="center">0.2407</td>
<td valign="top" align="center">0.1210</td>
<td valign="top" align="center">0.2272</td>
<td valign="top" align="center">0.1842</td>
<td valign="top" align="center">0.0352</td>
<td valign="top" align="center">0.0055</td>
<td valign="top" align="center">0.1130</td>
<td valign="top" align="center">0.2453</td>
<td valign="top" align="center">0.0362</td>
<td valign="top" align="center">0.0373</td>
<td valign="top" align="center">0.1908</td>
</tr>
<tr>
<td valign="top" align="left">GIP7</td>
<td valign="top" align="center">0.1650</td>
<td valign="top" align="center">0.0045</td>
<td valign="top" align="center">0.2138</td>
<td valign="top" align="center">0.2042</td>
<td valign="top" align="center">0.1318</td>
<td valign="top" align="center">0.0910</td>
<td valign="top" align="center">0.2310</td>
<td valign="top" align="center">0.1880</td>
<td valign="top" align="center">0.1942</td>
<td valign="top" align="center">0.0052</td>
<td valign="top" align="center">0.0960</td>
<td valign="top" align="center">0.0317</td>
</tr>
</tbody>
</table></table-wrap>
<table-wrap position="float" id="T6">
<label>TABLE 6</label>
<caption><p>The matrix of defuzzification given by AHEM experts.</p></caption>
<table cellspacing="5" cellpadding="5" frame="hsides" rules="groups">
<thead>
<tr>
<td valign="top" align="left"></td>
<td valign="top" align="center">C11</td>
<td valign="top" align="center">C12</td>
<td valign="top" align="center">C13</td>
<td valign="top" align="center">C14</td>
<td valign="top" align="center">C21</td>
<td valign="top" align="center">C22</td>
<td valign="top" align="center">C23</td>
<td valign="top" align="center">C24</td>
<td valign="top" align="center">C31</td>
<td valign="top" align="center">C32</td>
<td valign="top" align="center">C33</td>
<td valign="top" align="center">C34</td>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">GIP1</td>
<td valign="top" align="center">0.0800</td>
<td valign="top" align="center">0.2523</td>
<td valign="top" align="center">0.1650</td>
<td valign="top" align="center">0.0268</td>
<td valign="top" align="center">0.1210</td>
<td valign="top" align="center">0.1618</td>
<td valign="top" align="center">0.1388</td>
<td valign="top" align="center">0.1500</td>
<td valign="top" align="center">0.2812</td>
<td valign="top" align="center">0.2307</td>
<td valign="top" align="center">0.0337</td>
<td valign="top" align="center">0.1702</td>
</tr>
<tr>
<td valign="top" align="left">GIP2</td>
<td valign="top" align="center">0.0313</td>
<td valign="top" align="center">0.0337</td>
<td valign="top" align="center">0.2915</td>
<td valign="top" align="center">0.1152</td>
<td valign="top" align="center">0.2380</td>
<td valign="top" align="center">0.1152</td>
<td valign="top" align="center">0.0325</td>
<td valign="top" align="center">0.2100</td>
<td valign="top" align="center">0.1430</td>
<td valign="top" align="center">0.0043</td>
<td valign="top" align="center">0.0048</td>
<td valign="top" align="center">0.1020</td>
</tr>
<tr>
<td valign="top" align="left">GIP3</td>
<td valign="top" align="center">0.1330</td>
<td valign="top" align="center">0.0048</td>
<td valign="top" align="center">0.2310</td>
<td valign="top" align="center">0.2042</td>
<td valign="top" align="center">0.0728</td>
<td valign="top" align="center">0.0268</td>
<td valign="top" align="center">0.1942</td>
<td valign="top" align="center">0.3500</td>
<td valign="top" align="center">0.1430</td>
<td valign="top" align="center">0.0780</td>
<td valign="top" align="center">0.0615</td>
<td valign="top" align="center">0.0057</td>
</tr>
<tr>
<td valign="top" align="left">GIP4</td>
<td valign="top" align="center">0.1860</td>
<td valign="top" align="center">0.1430</td>
<td valign="top" align="center">0.1650</td>
<td valign="top" align="center">0.2272</td>
<td valign="top" align="center">0.1692</td>
<td valign="top" align="center">0.2042</td>
<td valign="top" align="center">0.0047</td>
<td valign="top" align="center">0.0050</td>
<td valign="top" align="center">0.0048</td>
<td valign="top" align="center">0.2567</td>
<td valign="top" align="center">0.2812</td>
<td valign="top" align="center">0.1702</td>
</tr>
<tr>
<td valign="top" align="left">GIP5</td>
<td valign="top" align="center">0.2607</td>
<td valign="top" align="center">0.2523</td>
<td valign="top" align="center">0.0385</td>
<td valign="top" align="center">0.0345</td>
<td valign="top" align="center">0.2138</td>
<td valign="top" align="center">0.0690</td>
<td valign="top" align="center">0.2453</td>
<td valign="top" align="center">0.1500</td>
<td valign="top" align="center">0.0860</td>
<td valign="top" align="center">0.2307</td>
<td valign="top" align="center">0.1430</td>
<td valign="top" align="center">0.3013</td>
</tr>
<tr>
<td valign="top" align="left">GIP6</td>
<td valign="top" align="center">0.2345</td>
<td valign="top" align="center">0.2812</td>
<td valign="top" align="center">0.0055</td>
<td valign="top" align="center">0.2042</td>
<td valign="top" align="center">0.1210</td>
<td valign="top" align="center">0.2042</td>
<td valign="top" align="center">0.1388</td>
<td valign="top" align="center">0.1500</td>
<td valign="top" align="center">0.2000</td>
<td valign="top" align="center">0.1302</td>
<td valign="top" align="center">0.0860</td>
<td valign="top" align="center">0.2388</td>
</tr>
<tr>
<td valign="top" align="left">GIP7</td>
<td valign="top" align="center">0.0800</td>
<td valign="top" align="center">0.0337</td>
<td valign="top" align="center">0.0990</td>
<td valign="top" align="center">0.1618</td>
<td valign="top" align="center">0.0728</td>
<td valign="top" align="center">0.2272</td>
<td valign="top" align="center">0.2453</td>
<td valign="top" align="center">0.2950</td>
<td valign="top" align="center">0.1430</td>
<td valign="top" align="center">0.0780</td>
<td valign="top" align="center">0.2523</td>
<td valign="top" align="center">0.0057</td>
</tr>
</tbody>
</table></table-wrap>
<p><bold>Step 2:</bold> A merged matrix is calculated based on the two defuzzied matrices. The rule in the calculation process is that the weight of <italic>C</italic><sub><italic>11</italic></sub>-in the matrix is respectively (0.5, 0.5); the weight of <italic>C</italic><sub><italic>21</italic></sub> &#x2013; <italic>C</italic><sub><italic>24</italic></sub> is respectively (0.6, 0.4); the weight of <italic>C</italic><sub><italic>31</italic></sub>-<italic>C</italic><sub><italic>31</italic></sub> is respectively (0.4, 0.6). The merged matrix is presented in <xref ref-type="table" rid="T7">Table 7</xref>. The prospect value matrix of the merged matrix and the weight matrix is calculated, and the results are presented in <xref ref-type="table" rid="T8">Tables 8</xref>, <xref ref-type="table" rid="T9">9</xref>.</p>
<table-wrap position="float" id="T7">
<label>TABLE 7</label>
<caption><p>The merged matrix based on the matrices of defuzzification.</p></caption>
<table cellspacing="5" cellpadding="5" frame="hsides" rules="groups">
<thead>
<tr>
<td valign="top" align="left"></td>
<td valign="top" align="center">C11</td>
<td valign="top" align="center">C12</td>
<td valign="top" align="center">C13</td>
<td valign="top" align="center">C14</td>
<td valign="top" align="center">C21</td>
<td valign="top" align="center">C22</td>
<td valign="top" align="center">C23</td>
<td valign="top" align="center">C24</td>
<td valign="top" align="center">C31</td>
<td valign="top" align="center">C32</td>
<td valign="top" align="center">C33</td>
<td valign="top" align="center">C34</td>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">GIP1</td>
<td valign="top" align="center">0.0428</td>
<td valign="top" align="center">0.2603</td>
<td valign="top" align="center">0.1894</td>
<td valign="top" align="center">0.0479</td>
<td valign="top" align="center">0.0848</td>
<td valign="top" align="center">0.2042</td>
<td valign="top" align="center">0.1999</td>
<td valign="top" align="center">0.2227</td>
<td valign="top" align="center">0.2290</td>
<td valign="top" align="center">0.2220</td>
<td valign="top" align="center">0.1094</td>
<td valign="top" align="center">0.2125</td>
</tr>
<tr>
<td valign="top" align="left">GIP2</td>
<td valign="top" align="center">0.0652</td>
<td valign="top" align="center">0.0578</td>
<td valign="top" align="center">0.2063</td>
<td valign="top" align="center">0.1597</td>
<td valign="top" align="center">0.2358</td>
<td valign="top" align="center">0.1055</td>
<td valign="top" align="center">0.0855</td>
<td valign="top" align="center">0.2312</td>
<td valign="top" align="center">0.1405</td>
<td valign="top" align="center">0.0946</td>
<td valign="top" align="center">0.0051</td>
<td valign="top" align="center">0.1225</td>
</tr>
<tr>
<td valign="top" align="left">GIP3</td>
<td valign="top" align="center">0.2123</td>
<td valign="top" align="center">0.1608</td>
<td valign="top" align="center">0.2204</td>
<td valign="top" align="center">0.1830</td>
<td valign="top" align="center">0.0964</td>
<td valign="top" align="center">0.0768</td>
<td valign="top" align="center">0.2419</td>
<td valign="top" align="center">0.2277</td>
<td valign="top" align="center">0.1071</td>
<td valign="top" align="center">0.0870</td>
<td valign="top" align="center">0.1585</td>
<td valign="top" align="center">0.0514</td>
</tr>
<tr>
<td valign="top" align="left">GIP4</td>
<td valign="top" align="center">0.1755</td>
<td valign="top" align="center">0.1918</td>
<td valign="top" align="center">0.0966</td>
<td valign="top" align="center">0.1712</td>
<td valign="top" align="center">0.1137</td>
<td valign="top" align="center">0.2074</td>
<td valign="top" align="center">0.0182</td>
<td valign="top" align="center">0.0055</td>
<td valign="top" align="center">0.0852</td>
<td valign="top" align="center">0.2664</td>
<td valign="top" align="center">0.3007</td>
<td valign="top" align="center">0.2125</td>
</tr>
<tr>
<td valign="top" align="left">GIP5</td>
<td valign="top" align="center">0.2458</td>
<td valign="top" align="center">0.1943</td>
<td valign="top" align="center">0.0557</td>
<td valign="top" align="center">0.0307</td>
<td valign="top" align="center">0.2318</td>
<td valign="top" align="center">0.1021</td>
<td valign="top" align="center">0.4442</td>
<td valign="top" align="center">0.1077</td>
<td valign="top" align="center">0.0372</td>
<td valign="top" align="center">0.2220</td>
<td valign="top" align="center">0.3291</td>
<td valign="top" align="center">0.1696</td>
</tr>
<tr>
<td valign="top" align="left">GIP6</td>
<td valign="top" align="center">0.1365</td>
<td valign="top" align="center">0.2609</td>
<td valign="top" align="center">0.0633</td>
<td valign="top" align="center">0.2157</td>
<td valign="top" align="center">0.1463</td>
<td valign="top" align="center">0.1366</td>
<td valign="top" align="center">0.0855</td>
<td valign="top" align="center">0.1352</td>
<td valign="top" align="center">0.2272</td>
<td valign="top" align="center">0.0738</td>
<td valign="top" align="center">0.0568</td>
<td valign="top" align="center">0.2100</td>
</tr>
<tr>
<td valign="top" align="left">GIP7</td>
<td valign="top" align="center">0.1225</td>
<td valign="top" align="center">0.0191</td>
<td valign="top" align="center">0.1564</td>
<td valign="top" align="center">0.1830</td>
<td valign="top" align="center">0.0964</td>
<td valign="top" align="center">0.1727</td>
<td valign="top" align="center">0.2396</td>
<td valign="top" align="center">0.2522</td>
<td valign="top" align="center">0.1737</td>
<td valign="top" align="center">0.0343</td>
<td valign="top" align="center">0.1585</td>
<td valign="top" align="center">0.0213</td>
</tr>
</tbody>
</table></table-wrap>
<table-wrap position="float" id="T8">
<label>TABLE 8</label>
<caption><p>The prospect value matrix of the merged matrix.</p></caption>
<table cellspacing="5" cellpadding="5" frame="hsides" rules="groups">
<thead>
<tr>
<td valign="top" align="left"></td>
<td valign="top" align="center">C11</td>
<td valign="top" align="center">C12</td>
<td valign="top" align="center">C13</td>
<td valign="top" align="center">C14</td>
<td valign="top" align="center">C21</td>
<td valign="top" align="center">C22</td>
<td valign="top" align="center">C23</td>
<td valign="top" align="center">C24</td>
<td valign="top" align="center">C31</td>
<td valign="top" align="center">C32</td>
<td valign="top" align="center">C33</td>
<td valign="top" align="center">C34</td>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">GIP1</td>
<td valign="top" align="center">&#x2013;0.2544</td>
<td valign="top" align="center">0.0795</td>
<td valign="top" align="center">0.0418</td>
<td valign="top" align="center">&#x2013;0.3237</td>
<td valign="top" align="center">&#x2013;0.0903</td>
<td valign="top" align="center">0.0786</td>
<td valign="top" align="center">0.0000</td>
<td valign="top" align="center">0.0000</td>
<td valign="top" align="center">0.0996</td>
<td valign="top" align="center">0.1372</td>
<td valign="top" align="center">&#x2013;0.1440</td>
<td valign="top" align="center">0.0526</td>
</tr>
<tr>
<td valign="top" align="left">GIP2</td>
<td valign="top" align="center">&#x2013;0.2001</td>
<td valign="top" align="center">&#x2013;0.3486</td>
<td valign="top" align="center">0.0601</td>
<td valign="top" align="center">&#x2013;0.0401</td>
<td valign="top" align="center">0.1322</td>
<td valign="top" align="center">&#x2013;0.0963</td>
<td valign="top" align="center">&#x2013;0.3032</td>
<td valign="top" align="center">0.0127</td>
<td valign="top" align="center">0.0000</td>
<td valign="top" align="center">0.0000</td>
<td valign="top" align="center">&#x2013;0.3923</td>
<td valign="top" align="center">&#x2013;0.1389</td>
</tr>
<tr>
<td valign="top" align="left">GIP3</td>
<td valign="top" align="center">0.0869</td>
<td valign="top" align="center">&#x2013;0.0963</td>
<td valign="top" align="center">0.0749</td>
<td valign="top" align="center">0.0170</td>
<td valign="top" align="center">&#x2013;0.0574</td>
<td valign="top" align="center">&#x2013;0.1711</td>
<td valign="top" align="center">0.0517</td>
<td valign="top" align="center">0.0079</td>
<td valign="top" align="center">&#x2013;0.1026</td>
<td valign="top" align="center">&#x2013;0.0280</td>
<td valign="top" align="center">0.0000</td>
<td valign="top" align="center">&#x2013;0.3122</td>
</tr>
<tr>
<td valign="top" align="left">GIP4</td>
<td valign="top" align="center">0.0484</td>
<td valign="top" align="center">0.0000</td>
<td valign="top" align="center">&#x2013;0.1714</td>
<td valign="top" align="center">0.0000</td>
<td valign="top" align="center">0.0000</td>
<td valign="top" align="center">0.0818</td>
<td valign="top" align="center">&#x2013;0.4555</td>
<td valign="top" align="center">&#x2013;0.5328</td>
<td valign="top" align="center">&#x2013;0.1598</td>
<td valign="top" align="center">0.1785</td>
<td valign="top" align="center">0.1512</td>
<td valign="top" align="center">0.0526</td>
</tr>
<tr>
<td valign="top" align="left">GIP5</td>
<td valign="top" align="center">0.1200</td>
<td valign="top" align="center">0.0042</td>
<td valign="top" align="center">&#x2013;0.2711</td>
<td valign="top" align="center">&#x2013;0.3633</td>
<td valign="top" align="center">0.1284</td>
<td valign="top" align="center">&#x2013;0.1054</td>
<td valign="top" align="center">0.2434</td>
<td valign="top" align="center">&#x2013;0.3046</td>
<td valign="top" align="center">&#x2013;0.2771</td>
<td valign="top" align="center">0.1372</td>
<td valign="top" align="center">0.1775</td>
<td valign="top" align="center">0.0000</td>
</tr>
<tr>
<td valign="top" align="left">GIP6</td>
<td valign="top" align="center">0.0000</td>
<td valign="top" align="center">0.0801</td>
<td valign="top" align="center">&#x2013;0.2530</td>
<td valign="top" align="center">0.0544</td>
<td valign="top" align="center">0.0413</td>
<td valign="top" align="center">0.0000</td>
<td valign="top" align="center">&#x2013;0.3032</td>
<td valign="top" align="center">&#x2013;0.2394</td>
<td valign="top" align="center">0.0978</td>
<td valign="top" align="center">&#x2013;0.0678</td>
<td valign="top" align="center">&#x2013;0.2733</td>
<td valign="top" align="center">0.0500</td>
</tr>
<tr>
<td valign="top" align="left">GIP7</td>
<td valign="top" align="center">&#x2013;0.0477</td>
<td valign="top" align="center">&#x2013;0.4357</td>
<td valign="top" align="center">0.0000</td>
<td valign="top" align="center">0.0170</td>
<td valign="top" align="center">&#x2013;0.0574</td>
<td valign="top" align="center">0.0453</td>
<td valign="top" align="center">0.0492</td>
<td valign="top" align="center">0.0379</td>
<td valign="top" align="center">0.0420</td>
<td valign="top" align="center">&#x2013;0.1726</td>
<td valign="top" align="center">0.0001</td>
<td valign="top" align="center">&#x2013;0.3811</td>
</tr>
</tbody>
</table></table-wrap>
<table-wrap position="float" id="T9">
<label>TABLE 9</label>
<caption><p>The weight matrix of the merged matrix.</p></caption>
<table cellspacing="5" cellpadding="5" frame="hsides" rules="groups">
<thead>
<tr>
<td valign="top" align="left">Guidelines</td>
<td valign="top" align="center"><italic>w</italic><sub><italic>j</italic></sub></td>
<td valign="top" align="center">Guidelines</td>
<td valign="top" align="center"><italic>w</italic><sub><italic>j</italic></sub></td>
<td valign="top" align="center">Guidelines</td>
<td valign="top" align="center"><italic>w</italic><sub><italic>j</italic></sub></td>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left"><italic>C</italic><sub>11</sub></td>
<td valign="top" align="center">0.2673</td>
<td valign="top" align="center"><italic>C</italic><sub>11</sub></td>
<td valign="top" align="center">0.1746</td>
<td valign="top" align="center"><italic>C</italic><sub>11</sub></td>
<td valign="top" align="center">0.2392</td>
</tr>
<tr>
<td valign="top" align="left"><italic>C</italic><sub>12</sub></td>
<td valign="top" align="center">0.2939</td>
<td valign="top" align="center"><italic>C</italic><sub>12</sub></td>
<td valign="top" align="center">0.1631</td>
<td valign="top" align="center"><italic>C</italic><sub>12</sub></td>
<td valign="top" align="center">0.3251</td>
</tr>
<tr>
<td valign="top" align="left"><italic>C</italic><sub>13</sub></td>
<td valign="top" align="center">0.2180</td>
<td valign="top" align="center"><italic>C</italic><sub>13</sub></td>
<td valign="top" align="center">0.3780</td>
<td valign="top" align="center"><italic>C</italic><sub>13</sub></td>
<td valign="top" align="center">0.2258</td>
</tr>
<tr>
<td valign="top" align="left"><italic>C</italic><sub>14</sub></td>
<td valign="top" align="center">0.2208</td>
<td valign="top" align="center"><italic>C</italic><sub>14</sub></td>
<td valign="top" align="center">0.2843</td>
<td valign="top" align="center"><italic>C</italic><sub>14</sub></td>
<td valign="top" align="center">0.2099</td>
</tr>
<tr>
<td valign="top" align="left">Total</td>
<td valign="top" align="center">1</td>
<td valign="top" align="center">Total</td>
<td valign="top" align="center">1</td>
<td valign="top" align="center">Total</td>
<td valign="top" align="center">1</td>
</tr>
</tbody>
</table></table-wrap>
<p><bold>Step 3:</bold> The computing procedures on three main criteria are conducted based on the VIKOR approach, and the result is presented in <xref ref-type="table" rid="T10">Table 10</xref>. The weights of the three main criteria are 0.2709, 0.4440, and 0.2851 respectively.</p>
<table-wrap position="float" id="T10">
<label>TABLE 10</label>
<caption><p>The computing result of academic research institutes.</p></caption>
<table cellspacing="5" cellpadding="5" frame="hsides" rules="groups">
<thead>
<tr>
<td valign="top" align="left"></td>
<td valign="top" align="center"><italic>SC</italic><sub>1</sub></td>
<td valign="top" align="center"><italic>RC</italic><sub>1</sub></td>
<td valign="top" align="center"><italic>QC</italic><sub>1</sub></td>
<td valign="top" align="center"><italic>SC</italic><sub>2</sub></td>
<td valign="top" align="center"><italic>RC</italic><sub>2</sub></td>
<td valign="top" align="center"><italic>QC</italic><sub>2</sub></td>
<td valign="top" align="center"><italic>SC</italic><sub>3</sub></td>
<td valign="top" align="center"><italic>RC</italic><sub>3</sub></td>
<td valign="top" align="center"><italic>QC</italic><sub>3</sub></td>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left"><italic>GIP</italic><sub>1</sub></td>
<td valign="top" align="center">0.4883</td>
<td valign="top" align="center">0.2673</td>
<td valign="top" align="center">0.8747</td>
<td valign="top" align="center">0.3272</td>
<td valign="top" align="center">0.1746</td>
<td valign="top" align="center">0.1073</td>
<td valign="top" align="center">0.1657</td>
<td valign="top" align="center">0.1274</td>
<td valign="top" align="center">0.0000</td>
</tr>
<tr>
<td valign="top" align="left"><italic>GIP</italic><sub>2</sub></td>
<td valign="top" align="center">0.5321</td>
<td valign="top" align="center">0.2443</td>
<td valign="top" align="center">0.8717</td>
<td valign="top" align="center">0.4230</td>
<td valign="top" align="center">0.2956</td>
<td valign="top" align="center">0.4692</td>
<td valign="top" align="center">0.5470</td>
<td valign="top" align="center">0.2258</td>
<td valign="top" align="center">0.6494</td>
</tr>
<tr>
<td valign="top" align="left"><italic>GIP</italic><sub>3</sub></td>
<td valign="top" align="center">0.1440</td>
<td valign="top" align="center">0.1005</td>
<td valign="top" align="center">0.0000</td>
<td valign="top" align="center">0.4305</td>
<td valign="top" align="center">0.1631</td>
<td valign="top" align="center">0.1879</td>
<td valign="top" align="center">0.5664</td>
<td valign="top" align="center">0.1911</td>
<td valign="top" align="center">0.5820</td>
</tr>
<tr>
<td valign="top" align="left"><italic>GIP</italic><sub>4</sub></td>
<td valign="top" align="center">0.2806</td>
<td valign="top" align="center">0.1552</td>
<td valign="top" align="center">0.3173</td>
<td valign="top" align="center">0.7660</td>
<td valign="top" align="center">0.3780</td>
<td valign="top" align="center">1.0000</td>
<td valign="top" align="center">0.1751</td>
<td valign="top" align="center">0.1647</td>
<td valign="top" align="center">0.1042</td>
</tr>
<tr>
<td valign="top" align="left"><italic>GIP</italic><sub>5</sub></td>
<td valign="top" align="center">0.4821</td>
<td valign="top" align="center">0.2208</td>
<td valign="top" align="center">0.7465</td>
<td valign="top" align="center">0.2943</td>
<td valign="top" align="center">0.1706</td>
<td valign="top" align="center">0.0649</td>
<td valign="top" align="center">0.3029</td>
<td valign="top" align="center">0.2392</td>
<td valign="top" align="center">0.4269</td>
</tr>
<tr>
<td valign="top" align="left"><italic>GIP</italic><sub>6</sub></td>
<td valign="top" align="center">0.2923</td>
<td valign="top" align="center">0.2066</td>
<td valign="top" align="center">0.4653</td>
<td valign="top" align="center">0.5578</td>
<td valign="top" align="center">0.2956</td>
<td valign="top" align="center">0.6072</td>
<td valign="top" align="center">0.4091</td>
<td valign="top" align="center">0.2280</td>
<td valign="top" align="center">0.5101</td>
</tr>
<tr>
<td valign="top" align="left"><italic>GIP</italic><sub>7</sub></td>
<td valign="top" align="center">0.4806</td>
<td valign="top" align="center">0.2939</td>
<td valign="top" align="center">0.9337</td>
<td valign="top" align="center">0.2774</td>
<td valign="top" align="center">0.1488</td>
<td valign="top" align="center">0.0000</td>
<td valign="top" align="center">0.6418</td>
<td valign="top" align="center">0.3251</td>
<td valign="top" align="center">1.0000</td>
</tr>
</tbody>
</table></table-wrap>
<p>(2) The partner selection based on niche field model</p>
<p><bold>Step 1:</bold> The niche-fitness of academic research institutes shown in <xref ref-type="table" rid="T11">Table 11</xref> is obtained by the combined attribute weight method.</p>
<table-wrap position="float" id="T11">
<label>TABLE 11</label>
<caption><p>The niche-fitness of academic research institutes.</p></caption>
<table cellspacing="5" cellpadding="5" frame="hsides" rules="groups">
<thead>
<tr>
<td valign="top" align="left"></td>
<td valign="top" align="center"><italic>GIP</italic><sub>1</sub></td>
<td valign="top" align="center"><italic>GIP</italic><sub>2</sub></td>
<td valign="top" align="center"><italic>GIP</italic><sub>3</sub></td>
<td valign="top" align="center"><italic>GIP</italic><sub>4</sub></td>
<td valign="top" align="center"><italic>GIP</italic><sub>5</sub></td>
<td valign="top" align="center"><italic>GIP</italic><sub>6</sub></td>
<td valign="top" align="center"><italic>GIP</italic><sub>7</sub></td>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">SC</td>
<td valign="top" align="center">0.6439</td>
<td valign="top" align="center">0.2244</td>
<td valign="top" align="center">0.6029</td>
<td valign="top" align="center">0.4257</td>
<td valign="top" align="center">0.5405</td>
<td valign="top" align="center">0.3301</td>
<td valign="top" align="center">0.4440</td>
</tr>
<tr>
<td valign="top" align="left">RC</td>
<td valign="top" align="center">0.3505</td>
<td valign="top" align="center">0.1613</td>
<td valign="top" align="center">0.2709</td>
<td valign="top" align="center">0.2479</td>
<td valign="top" align="center">0.3886</td>
<td valign="top" align="center">0.1317</td>
<td valign="top" align="center">0.4440</td>
</tr>
<tr>
<td valign="top" align="left">QC</td>
<td valign="top" align="center">0.8502</td>
<td valign="top" align="center">0.0474</td>
<td valign="top" align="center">0.6740</td>
<td valign="top" align="center">0.4260</td>
<td valign="top" align="center">0.7880</td>
<td valign="top" align="center">0.1260</td>
<td valign="top" align="center">0.7618</td>
</tr>
<tr>
<td valign="top" align="left">Ranking</td>
<td valign="top" align="center">1</td>
<td valign="top" align="center">7</td>
<td valign="top" align="center">4</td>
<td valign="top" align="center">5</td>
<td valign="top" align="center">2</td>
<td valign="top" align="center">6</td>
<td valign="top" align="center">3</td>
</tr>
</tbody>
</table></table-wrap>
<p><bold>Step 2:</bold> The utilization rate of resources is normalized, and the niche-fitness mass of AHEM enterprises and academic research institutes is calculated. The field strength, attraction, radius, and resistance based on niche-fitness are calculated where <italic>K</italic> = 0.8 and &#x03B4; = 0.5. Resistance is directly proportional to the amount of resources owned by oneself, which is set to account for 5% of the complementary resources. The above calculation results are shown in <xref ref-type="table" rid="T12">Table 12</xref>.</p>
<table-wrap position="float" id="T12">
<label>TABLE 12</label>
<caption><p>The niche mass, field strength, attraction, radius, and resistance.</p></caption>
<table cellspacing="5" cellpadding="5" frame="hsides" rules="groups">
<thead>
<tr>
<td valign="top" align="left"></td>
<td valign="top" align="center"><italic>M</italic></td>
<td/>
<td valign="top" align="center"><italic>GIP</italic><sub>1</sub></td>
<td valign="top" align="center"><italic>GIP</italic><sub>2</sub></td>
<td valign="top" align="center"><italic>GIP</italic><sub>3</sub></td>
<td valign="top" align="center"><italic>GIP</italic><sub>4</sub></td>
<td valign="top" align="center"><italic>GIP</italic><sub>5</sub></td>
<td valign="top" align="center"><italic>GIP</italic><sub>6</sub></td>
<td valign="top" align="center"><italic>GIP</italic><sub>7</sub></td>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left"><italic>M</italic></td>
<td valign="top" align="center">0.8000</td>
<td valign="top" align="center"><italic>m</italic></td>
<td valign="top" align="center">0.6522</td>
<td valign="top" align="center">0.6829</td>
<td valign="top" align="center">0.7011</td>
<td valign="top" align="center">0.7444</td>
<td valign="top" align="center">0.7753</td>
<td valign="top" align="center">0.7250</td>
<td valign="top" align="center">0.6000</td>
</tr>
<tr>
<td valign="top" align="left"><italic>E</italic></td>
<td valign="top" align="center">&#x221E;</td>
<td valign="top" align="center"><italic>E</italic></td>
<td valign="top" align="center">0.1973</td>
<td valign="top" align="center">0.0717</td>
<td valign="top" align="center">0.1595</td>
<td valign="top" align="center">0.1202</td>
<td valign="top" align="center">0.2111</td>
<td valign="top" align="center">0.0826</td>
<td valign="top" align="center">0.1565</td>
</tr>
<tr>
<td valign="top" align="left"><italic><italic>F</italic><sub><italic>a</italic></sub></italic></td>
<td valign="top" align="center">&#x221E;</td>
<td valign="top" align="center"><italic><italic>F</italic><sub><italic>a</italic></sub></italic></td>
<td valign="top" align="center">0.1579</td>
<td valign="top" align="center">0.0573</td>
<td valign="top" align="center">0.1276</td>
<td valign="top" align="center">0.0962</td>
<td valign="top" align="center">0.1689</td>
<td valign="top" align="center">0.0661</td>
<td valign="top" align="center">0.1252</td>
</tr>
<tr>
<td valign="top" align="left"><italic>R</italic></td>
<td valign="top" align="center">1.0000</td>
<td valign="top" align="center"><italic>R</italic></td>
<td valign="top" align="center">1.1498</td>
<td valign="top" align="center">1.9526</td>
<td valign="top" align="center">1.3260</td>
<td valign="top" align="center">1.5740</td>
<td valign="top" align="center">1.2120</td>
<td valign="top" align="center">1.8740</td>
<td valign="top" align="center">1.2382</td>
</tr>
<tr>
<td valign="top" align="left"><italic>F</italic><sub><italic>r</italic></sub></td>
<td valign="top" align="center">0.0000</td>
<td valign="top" align="center"><italic>F</italic><sub><italic>r</italic></sub></td>
<td valign="top" align="center">0.0326</td>
<td valign="top" align="center">0.0341</td>
<td valign="top" align="center">0.0351</td>
<td valign="top" align="center">0.0372</td>
<td valign="top" align="center">0.0388</td>
<td valign="top" align="center">0.0363</td>
<td valign="top" align="center">0.0300</td>
</tr>
<tr>
<td valign="top" align="left"><italic>F</italic></td>
<td valign="top" align="center">&#x221E;</td>
<td valign="top" align="center"><italic>F</italic></td>
<td valign="top" align="center">0.1252</td>
<td valign="top" align="center">0.0232</td>
<td valign="top" align="center">0.0926</td>
<td valign="top" align="center">0.0589</td>
<td valign="top" align="center">0.1301</td>
<td valign="top" align="center">0.0298</td>
<td valign="top" align="center">0.0952</td>
</tr>
<tr>
<td valign="top" align="left" colspan="3">Ranking</td>
<td valign="top" align="center">2</td>
<td valign="top" align="center">7</td>
<td valign="top" align="center">4</td>
<td valign="top" align="center">5</td>
<td valign="top" align="center">1</td>
<td valign="top" align="center">6</td>
<td valign="top" align="center">3</td>
</tr>
</tbody>
</table></table-wrap>
<p><bold>Step 3:</bold> The radius threshold value &#x03B5;<sub><italic>T</italic></sub> is set to 1.5 based on advice from DGI experts and AHEM experts. The attraction threshold value is set to 0.1409, and the result is based on the experiment (Maximum attraction value <italic>F</italic><sub><italic>amax</italic></sub> = 0.2280, and then the threshold value &#x03C2;<sub><italic>T</italic></sub> = 0.2280&#x00D7;0.618 = 0.1409).</p>
<p><bold>Step 4:</bold> The remaining partners are sorted based on the resultant force, and one or more partners are selected to enter the AHEM system. The standard is that the radius value of the candidate partner&#x2019;s location must be completely lesser or greater than the threshold value, namely <italic>R</italic><sub><italic>T</italic></sub>&#x2264;&#x03B5;<sub><italic>T</italic></sub>, <italic>F</italic><sub><italic>r</italic></sub>&#x2265;&#x03C2;<sub><italic>T</italic></sub> and <italic>F</italic><sub><italic>r</italic></sub>&#x2265;<italic>F</italic><sub><italic>a</italic></sub>.</p>
<p><bold>(i)</bold> The first-round selection based on the radius threshold value.</p>
<p>The hierarchy of AHEM enterprises and academic research institutes is shown in <xref ref-type="fig" rid="F4">Figure 4</xref>.</p>
<fig id="F4" position="float">
<label>FIGURE 4</label>
<caption><p>The hierarchical structure of AHEM enterprises and academic institutions.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fpsyg-13-924109-g004.tif"/>
</fig>
<p>As can be seen in <xref ref-type="fig" rid="F4">Figure 4</xref>, the radii of <italic>GIP</italic><sub>1</sub>, <italic>GIP</italic><sub><italic>3</italic></sub>, <italic>GIP</italic><sub><italic>5</italic></sub> and <italic>GIP</italic><sub><italic>7</italic></sub> among the hierarchy of medium niche-fitness (1,1.5], and are all less than the radius threshold value&#x03B5;<sub><italic>T</italic></sub> = 1.5. Hence, <italic>GIP</italic><sub>2</sub>, <italic>GIP</italic><sub><italic>4</italic></sub>, and <italic>GIP</italic><sub><italic>6</italic></sub> are eliminated.</p>
<p><bold>(ii)</bold> The attractive force of <italic>GIP</italic><sub>1</sub>, <italic>GIP</italic><sub><italic>3</italic></sub>, <italic>GIP</italic><sub><italic>5</italic></sub> and <italic>GIP</italic><sub><italic>7</italic></sub> is respectively 0.1579, 0.1276, 0.1689, and 0.1252. The partner <italic>GIP</italic><sub><italic>3</italic></sub>and <italic>GIP</italic><sub><italic>7</italic></sub> are eliminated based on the attraction threshold value of 0.1409.</p>
<p><bold>(iii)</bold> The attraction of <italic>GIP</italic><sub><italic>1</italic></sub> and <italic>GIP</italic><sub><italic>5</italic></sub> is greater than the resistance. <italic>GIP</italic><sub><italic>5</italic></sub> is the best academic research institute partner, and the dynamic selection process is presented in <xref ref-type="fig" rid="F5">Figure 5</xref>.</p>
<fig id="F5" position="float">
<label>FIGURE 5</label>
<caption><p>The dynamic selection process.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fpsyg-13-924109-g005.tif"/>
</fig>
<p>This study proposes a theoretical framework based on niche strength and degree of niche overlap for niche-fitness evaluation, and superposition of technology (innovation ability of digital green technology of AHEM, maturity and reliability of digital green technology of AHEM, timeliness of digital green technology of AHEM, compatibility of digital green technology of AHEM), mutual trust (compatibility of organizational atmosphere and values between the two parties, willingness of academic research parties to participate in DGI, integration degree of DGI R&#x0026;D teams of both sides, and reasonable price of DGI projects), and technical complementarity (complementarity of green innovation technologies for AHEM, complementarity of digital innovation technologies for AHEM, complementarity of the convergence of digital and green technologies, complementary of multi-technology convergence innovation and manufacturing) are reasonably incorporated into the theoretical framework. These factors have important reference value for AHEM enterprises to choose DGI academic research partners. Moreover, this study also theoretically expends the applications of field theory considering resource complementarity with fuzzy linguistic information in the collaborative innovation paradigm.</p>
<p>Based on the above analysis, this study not only proposed a criteria framework based on niche theory for niche-fitness evaluation but also developed a novel niche field model for selecting the DGI partner based on field theory. First, the TFN set theory is used to obtain the cooperation aspiration of academic research institutes according to the criteria framework. Moreover, fuzzy prospect theory is introduced to help AHEM enterprises avoid risks blindly or like risks so that decision-making is more reasonable. Second, the combined method of the VIKOR method and prospect theory is coupled with the combinations of assigned attribute weights calculated to evaluate the niche-fitness of academic research institutes. Furthermore, a novel niche field model considering resource complementarity is developed to select the best academic research institute. Finally, the results of a case study show that the criteria framework and the niche field model can be applied to AHEM enterprises partner selection.</p>
</sec>
<sec id="S4.SS3.SSS2" sec-type="discussion">
<title>Discussion</title>
<sec id="S4.SS3.SSS2.Px1">
<title>Managerial Implications</title>
<p>This study has two main managerial implications, which can provide some management inspiration for AHEM enterprises who choose DGI partner in the development of agricultural high-end equipment. This study not only proposed a criteria framework based on niche theory for niche-fitness evaluation but also developed a novel niche field model for selecting the management of DGI partner based on field theory. The criteria framework and the novel niche field model can be used to assist AHEM enterprises to perform DGI practice in the development of agricultural high-end equipment. The practical managerial implications of this study are discussed below.</p>
<p>This study proposed a criteria framework based on niche theory for niche-fitness evaluation. DGI has been viewed as one of the key factors affecting the competitive advantages and strategic selection of AHEM enterprises. From the perspective of niche theory, this study proposes a criteria framework with 12 sub-criteria for DGI partner selection of AHEM enterprises. DGI ability superposition of technology, mutual trust, and technical complementarity are beneficial for transferring DGI knowledge from academic research institutes to the AHEM industry. The criteria framework based on niche theory can be applied to real-world partner selection for AHEM DGI in the development of agricultural high-end equipment.</p>
<p>This study also developed a novel and robust framework for DGI partner selection of AHEM enterprises. Managers of AHEM enterprises often have to face the problem of DGI partner selection. This study presents a novel niche field model to help AHEM enterprises select their DGI partners from the masses of academic research institutes. Decision rules and resource complementarity are fully incorporated into the novel niche field model. First, TFN theory is used to obtain the cooperation aspiration of academic research institutes according to the criteria framework. Moreover, fuzzy prospect theory is introduced to help AHEM enterprises avoid risks blindly or like risks, and make decisions more rational. Second, the combined method of the VIKOR method and prospect theory is coupled with the criteria weight calculated by a combination that assigns attribute weights to evaluate the niche-fitness of academic research institutes. Furthermore, a novel niche field model considering resource complementarity is developed to select the best academic research institute. This model can help AHEM enterprises carry out DGI in the development of agricultural high-end equipment.</p>
</sec>
<sec id="S4.SS3.SSS2.Px2">
<title>Theoretical Implications</title>
<p>This study proposes a theoretical framework based on niche strength and degree of niche overlap for niche-fitness evaluation, and the superposition of technology, mutual trust, and technical complementarity are reasonably incorporated into the theoretical framework. Moreover, this study also theoretically expends the applications of field theory considering resource complementarity with fuzzy linguistic information in the collaborative innovation paradigm.</p>
<p>In this study, field theory is introduced to reflect the resource complementarity, rationality, and matching of the partner selection process for DGI, and niche theory is introduced to reflect the potential of academic research institutes for collaborative innovation. This study provided a novel theoretical framework that can help AHEM enterprises select their DGI innovation partners from the masses of academic research institutes in the development of DGI. The combined method of TFN theory and VIKOR method with objective weight is coupled with the prospect theory. The criterion weight is calculated by combining the weight of combination attributes to evaluate the niche-fitness of academic research institutes. And then a niche field model considering resource complementarity is developed to select the best academic research institute. Finally, the analytical results of a case study show that the criteria framework and the novel niche field model can be applied to real-world partner selection for AHEM enterprises and yield selecting results that are more realistic.</p>
</sec>
</sec>
</sec>
</sec>
<sec id="S5" sec-type="conclusion">
<title>Conclusion and Implications</title>
<sec id="S5.SS1">
<title>Conclusion</title>
<p>Although the agricultural economy drives DGI for the development of agricultural high-end equipment, partner selection for DGI is still plagued with various barriers. The R&#x0026;D and application of facility agricultural equipment technology are still not as mature as developed countries, and the agricultural equipment industry is quite different from foreign countries. It requires AHEM enterprises to actively strengthen the DGI of AHEM enterprises on the basis of which to improve the technical level of China&#x2019;s facility agricultural equipment. Cooperation between AHEM enterprises and academic research partners can accelerate the R&#x0026;D efforts of AHEM enterprises and promote the integrated innovation of agricultural technological achievements. This helps improve the ability of the successful transformation of agricultural science and technology. Therefore, it is of great significance to strengthen the research on cooperative DGI partner selection for promoting enterprises to implement cooperative DGI mode and improve the DGI innovation ability of AHEM enterprises. In the present study, a niche fitness evaluation standard framework based on niche theory was proposed and a niche field model for innovation partner selection management based on niche theory was established. The standard framework and novel niche field model can help enterprises carry out DGI in the development of high-end agricultural equipment.</p>
<p>The results are as follows: (i) This study not only proposed a criteria framework based on niche theory for niche-fitness evaluation but also developed a novel niche field model for selecting the management of DGI partner based on field theory. The theoretical framework based on niche strength and degree of niche overlap includes superposition of technology, mutual trust, and technical complementarity. (ii) In the niche field model, fuzzy prospect theory is introduced to help AHEM enterprises avoid risks blindly or like risks. The combined method of the VIKOR method with objective weight is coupled with the prospect theory. The criterion weight is calculated by combining the weight of combination attribute to evaluate the niche-fitness of academic research institutes. (iii) The niche field model has been successfully applied to practical cases to illustrate how the model can be implemented to solve the problem of DGI partner selection. The results of a case study show that the criteria framework and the niche field model can be applied to real-world partner selection for AHEM enterprises.</p>
</sec>
<sec id="S5.SS2">
<title>Implications</title>
<p>The study has the following theoretical and practical implications: (i) constructing a criteria framework based on niche theory; (ii) developing a novel niche field model for DGI partner selection of AHEM enterprises; and (iii) assisting AHEM enterprises to perform DGI practice. In addition, this study theoretically expends the applications of field theory considering resource complementarity with fuzzy information in the DGI paradigm. The criteria framework and the novel niche field model can be used to assist AHEM enterprises to perform DGI practice in the development of agricultural high-end equipment. AHEM enterprises should strengthen the DGI ability and investment to promote the combination of industry-university-research and improve the conversion rate of digital green achievements. The government should promote the effective integration of resources, such as intelligence, interdisciplinary knowledge, large-scale scientific research facilities, and information so that scientists and technology teams in large projects can fully share resources. The cooperative innovation platform of universities and scientific research institutes with AHEM enterprises as the main body should be established to provide solid material and equipment guarantee for agricultural mechanization to enter the advanced stage and agricultural modernization.</p>
</sec>
<sec id="S5.SS3">
<title>Deficiencies and Future Prospects</title>
<p>In this study, there are still some limitations that deserve the attention of future research. AHEM enterprises can be classified according to R&#x0026;D scale or enterprise scale, and the classified AHEM enterprises are used to carry out case studies. In addition, artificial intelligence technologies (AIs) are gradually applied to decision-making problems, and the combination of resource complementarity and AIs play an important role in enlightenment in the future.</p>
</sec>
</sec>
<sec id="S6" sec-type="data-availability">
<title>Data Availability Statement</title>
<p>The raw data supporting the conclusions of this article will be made available by the authors, without undue reservation.</p>
</sec>
<sec id="S7">
<title>Author Contributions</title>
<p>SY and JX: conceptualization. SY: methodology, software, and writing&#x2014;review and editing. YW and SY: validation. YW: writing&#x2014;original draft preparation. All author: read and agreed to the published version of the manuscript.</p>
</sec>
<sec id="conf1" sec-type="COI-statement">
<title>Conflict of Interest</title>
<p>The authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.</p>
</sec>
<sec id="pudiscl1" sec-type="disclaimer">
<title>Publisher&#x2019;s Note</title>
<p>All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors and the reviewers. Any product that may be evaluated in this article, or claim that may be made by its manufacturer, is not guaranteed or endorsed by the publisher.</p>
</sec>
</body>
<back>
<sec id="S8" sec-type="funding-information">
<title>Funding</title>
<p>This research was funded by the Philosophy and Social Sciences Planning Project of the Ministry of Education grant number [21YJCZH203], Soft Science Special Project of Hebei Innovation Capability Enhancement Program grant number [21557635D], Social Science Fund project of Hebei Province grant number [HB21YJ003], Top Young Talents Scientific Research Project of Higher Education in Hebei Province grant number [BJ2021084], Scientific Research Foundation for the Talents of Hebei Agricultural University grant number [YJ2020017], Hebei Agricultural Industry System Project [HBCT2021230301], and Henan Key Research and Development and Promotion Special (Soft Science Research) grant number [222400410126].</p>
</sec>
<ref-list>
<title>References</title>
<ref id="B1"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Abdulai</surname> <given-names>A. R.</given-names></name></person-group> (<year>2022</year>). <article-title>A New Green Revolution (GR) or Neoliberal Entrenchment in Agri-food Systems? Exploring Narratives Around Digital Agriculture (DA), Food Systems, and Development in Sub-Sahara Africa.</article-title> <source><italic>J. Dev. Stud.</italic></source> <volume>58</volume>, <fpage>1</fpage>&#x2013;<lpage>17</lpage>. <pub-id pub-id-type="doi">10.1080/00220388.2022.2032673</pub-id></citation></ref>
<ref id="B2"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Ali</surname> <given-names>B.</given-names></name> <name><surname>Dahlhaus</surname> <given-names>P.</given-names></name></person-group> (<year>2022</year>). <article-title>The role of FAIR data towards sustainable agricultural performance: a systematic literature review.</article-title> <source><italic>Agriculture</italic></source> <volume>12</volume>:<issue>309</issue>. <pub-id pub-id-type="doi">10.3390/agriculture12020309</pub-id></citation></ref>
<ref id="B3"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Aryal</surname> <given-names>J. P.</given-names></name> <name><surname>Thapa</surname> <given-names>G.</given-names></name> <name><surname>Simtowe</surname> <given-names>F.</given-names></name></person-group> (<year>2021</year>). <article-title>Mechanisation of small-scale farms in South Asia: empirical evidence derived from farm households survey.</article-title> <source><italic>Technol. Soc.</italic></source> <volume>65</volume>:<issue>101591</issue>. <pub-id pub-id-type="doi">10.1016/j.techsoc.2021.101591</pub-id></citation></ref>
<ref id="B4"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>&#x00C1;vila</surname> <given-names>P.</given-names></name> <name><surname>Pires</surname> <given-names>A.</given-names></name> <name><surname>Putnik</surname> <given-names>G.</given-names></name> <name><surname>Bastos</surname> <given-names>J.</given-names></name> <name><surname>Cruz-Cunha</surname> <given-names>M.</given-names></name></person-group> (<year>2021</year>). <article-title>Value analysis as a mechanism to reduce the complexity of the selection of the resources system for Agile/Virtual Enterprises in the context of Industry 4.0.</article-title> <source><italic>FME Trans.</italic></source> <volume>49</volume> <fpage>806</fpage>&#x2013;<lpage>816</lpage>. <pub-id pub-id-type="doi">10.5937/fme2104806A</pub-id></citation></ref>
<ref id="B5"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Belton</surname> <given-names>B.</given-names></name> <name><surname>Win</surname> <given-names>M. T.</given-names></name> <name><surname>Zhang</surname> <given-names>X.</given-names></name> <name><surname>Filipski</surname> <given-names>M.</given-names></name></person-group> (<year>2021</year>). <article-title>The rapid rise of agricultural mechanization in Myanmar.</article-title> <source><italic>Food Policy</italic></source> <volume>101</volume>:<issue>102095</issue>. <pub-id pub-id-type="doi">10.1016/j.foodpol.2021.102095</pub-id></citation></ref>
<ref id="B6"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Bia&#x0142;ow&#x0105;s</surname> <given-names>T.</given-names></name> <name><surname>Budzy&#x0144;ska</surname> <given-names>A.</given-names></name></person-group> (<year>2022</year>). <article-title>The Importance of Global Value Chains in Developing Countries&#x2019; Agricultural Trade Development.</article-title> <source><italic>Sustainability</italic></source> <volume>14</volume>:<issue>1389</issue>. <pub-id pub-id-type="doi">10.3390/su14031389</pub-id></citation></ref>
<ref id="B7"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Bolandnazar</surname> <given-names>E.</given-names></name> <name><surname>Rohani</surname> <given-names>A.</given-names></name> <name><surname>Taki</surname> <given-names>M.</given-names></name></person-group> (<year>2020</year>). <article-title>Energy consumption forecasting in agriculture by artificial intelligence and mathematical models.</article-title> <source><italic>Energy Sources Part A Recovery Util. Environ. Effects</italic></source> <volume>42</volume> <fpage>1618</fpage>&#x2013;<lpage>1632</lpage>. <pub-id pub-id-type="doi">10.1080/15567036.2019.1604872</pub-id></citation></ref>
<ref id="B8"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Cao</surname> <given-names>D.</given-names></name> <name><surname>Zhao</surname> <given-names>X.</given-names></name> <name><surname>Yang</surname> <given-names>W.</given-names></name></person-group> (<year>2012</year>). <article-title>Research on green economic development and Institutional policy innovation in China.</article-title> <source><italic>China Popul. Resour. Environ.</italic></source> <volume>5</volume> <fpage>48</fpage>&#x2013;<lpage>54</lpage>.</citation></ref>
<ref id="B9"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Cao</surname> <given-names>S.</given-names></name> <name><surname>Nie</surname> <given-names>L.</given-names></name> <name><surname>Sun</surname> <given-names>H.</given-names></name> <name><surname>Sun</surname> <given-names>W.</given-names></name> <name><surname>Taghizadeh-Hesary</surname> <given-names>F.</given-names></name></person-group> (<year>2021</year>). <article-title>Digital finance, green technological innovation and energy-environmental performance: evidence from China&#x2019;s regional economies.</article-title> <source><italic>J. Clean. Prod.</italic></source> <volume>327</volume>:<issue>129458</issue>. <pub-id pub-id-type="doi">10.1016/j.jclepro.2021.129458</pub-id></citation></ref>
<ref id="B10"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Chen</surname> <given-names>W.</given-names></name> <name><surname>Qu</surname> <given-names>H.</given-names></name> <name><surname>Chi</surname> <given-names>K.</given-names></name></person-group> (<year>2021</year>). <article-title>Partner selection in China interorganizational patent cooperation network based on link prediction approaches.</article-title> <source><italic>Sustainability</italic></source> <volume>13</volume>:<issue>1003</issue>. <pub-id pub-id-type="doi">10.3390/su13021003</pub-id></citation></ref>
<ref id="B11"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Chen</surname> <given-names>Y.</given-names></name> <name><surname>Huang</surname> <given-names>D.</given-names></name> <name><surname>Zhang</surname> <given-names>Y.</given-names></name> <name><surname>Zhao</surname> <given-names>J.</given-names></name></person-group> (<year>2018</year>). <article-title>Evaluation and Selection for Knowledge Resources in Cloud Manufacturing Environment.</article-title> <source><italic>J. Northeast. Univ.</italic></source> <volume>39</volume> <fpage>1169</fpage>&#x2013;<lpage>1174</lpage>.</citation></ref>
<ref id="B12"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Choi</surname> <given-names>J.</given-names></name></person-group> (<year>2020</year>). <article-title>Mitigating the challenges of partner knowledge diversity while enhancing research &#x0026; development (R&#x0026;D) alliance performance: the role of alliance governance mechanisms.</article-title> <source><italic>J. Prod. Innov. Manag.</italic></source> <volume>37</volume> <fpage>26</fpage>&#x2013;<lpage>47</lpage>. <pub-id pub-id-type="doi">10.1111/jpim.12505</pub-id></citation></ref>
<ref id="B13"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Dao</surname> <given-names>S. D.</given-names></name> <name><surname>Abhary</surname> <given-names>K.</given-names></name> <name><surname>Marian</surname> <given-names>R.</given-names></name></person-group> (<year>2014</year>). <article-title>Optimisation of partner selection and collaborative transportation scheduling in virtual enterprises using GA.</article-title> <source><italic>Expert Syst. Appl.</italic></source> <volume>41</volume> <fpage>6701</fpage>&#x2013;<lpage>6717</lpage>. <pub-id pub-id-type="doi">10.1016/j.eswa.2014.04.030</pub-id></citation></ref>
<ref id="B14"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Dayio&#x011F;lu</surname> <given-names>M. A.</given-names></name> <name><surname>Turker</surname> <given-names>U.</given-names></name></person-group> (<year>2021</year>). <article-title>Digital Transformation for Sustainable Future-Agriculture 4.0: a review.</article-title> <source><italic>J. Agric. Sci.</italic></source> <volume>27</volume> <fpage>373</fpage>&#x2013;<lpage>399</lpage>. <pub-id pub-id-type="doi">10.15832/ankutbd.986431</pub-id></citation></ref>
<ref id="B15"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Domaga&#x0142;a</surname> <given-names>J.</given-names></name></person-group> (<year>2021</year>). <article-title>Economic and Environmental Aspects of Agriculture in the EU Countries.</article-title> <source><italic>Energies</italic></source> <volume>14</volume>:<issue>7826</issue>. <pub-id pub-id-type="doi">10.3390/en14227826</pub-id></citation></ref>
<ref id="B16"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Garske</surname> <given-names>B.</given-names></name> <name><surname>Bau</surname> <given-names>A.</given-names></name> <name><surname>Ekardt</surname> <given-names>F.</given-names></name></person-group> (<year>2021</year>). <article-title>Digitalization and AI in European Agriculture: a Strategy for Achieving Climate and Biodiversity Targets?</article-title> <source><italic>Sustainability</italic></source> <volume>13</volume>:<issue>4652</issue>. <pub-id pub-id-type="doi">10.3390/su13094652</pub-id></citation></ref>
<ref id="B17"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Gibadullin</surname> <given-names>A.</given-names></name> <name><surname>Sergey</surname> <given-names>S.</given-names></name></person-group> (<year>2021</year>). <article-title>International scientific and practical conference &#x201C;Ensuring sustainable development in the context of agriculture, green energy, ecology and earth science&#x201D;(ESDCA 2021).</article-title> <source><italic>IOP Conf. Ser. Earth Environ. Sci.</italic></source> <volume>723</volume>:<issue>11001</issue>. <pub-id pub-id-type="doi">10.1088/1755-1315/723/1/011001</pub-id></citation></ref>
<ref id="B18"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Guertler</surname> <given-names>M. R.</given-names></name> <name><surname>Sick</surname> <given-names>N.</given-names></name></person-group> (<year>2021</year>). <article-title>Exploring the enabling effects of project management for SMEs in adopting open innovation&#x2013;A framework for partner search and selection in open innovation projects.</article-title> <source><italic>Int. J. Proj. Manag.</italic></source> <volume>39</volume> <fpage>102</fpage>&#x2013;<lpage>114</lpage>. <pub-id pub-id-type="doi">10.1016/j.ijproman.2020.06.007</pub-id></citation></ref>
<ref id="B19"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Guo</surname> <given-names>L.</given-names></name></person-group> (<year>2017</year>). <article-title>Finance leading the development of agriculture, rural areas and farmers with green innovation.</article-title> <source><italic>Financial Dev. Rev.</italic></source> <volume>3</volume> <fpage>153</fpage>&#x2013;<lpage>158</lpage>.</citation></ref>
<ref id="B20"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Haggag</surname> <given-names>W. M.</given-names></name></person-group> (<year>2021</year>). <article-title>Agricultural digitalization and rural development in COVID-19 response plans: a review Article.</article-title> <source><italic>Int. J. Agric. Technol.</italic></source> <volume>17</volume> <fpage>67</fpage>&#x2013;<lpage>74</lpage>.</citation></ref>
<ref id="B21"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Hair</surname> <given-names>J. F.</given-names></name> <name><surname>Ringle</surname> <given-names>C. M.</given-names></name> <name><surname>Gudergan</surname> <given-names>S. P.</given-names></name> <name><surname>Fischer</surname> <given-names>A.</given-names></name> <name><surname>Nitzl</surname> <given-names>C.</given-names></name> <name><surname>Menictas</surname> <given-names>C.</given-names></name></person-group> (<year>2019</year>). <article-title>Partial least squares structural equation modeling-based discrete choice modeling: an illustration in modeling retailer choice.</article-title> <source><italic>Bus. Res.</italic></source> <volume>12</volume> <fpage>115</fpage>&#x2013;<lpage>142</lpage>. <pub-id pub-id-type="doi">10.1007/s40685-018-0072-4</pub-id></citation></ref>
<ref id="B22"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Han</surname> <given-names>J.</given-names></name> <name><surname>Teng</surname> <given-names>X.</given-names></name> <name><surname>Cai</surname> <given-names>X.</given-names></name></person-group> (<year>2019</year>). <article-title>A novel network optimization partner selection method based on collaborative and knowledge networks.</article-title> <source><italic>Inf. Sci.</italic></source> <volume>484</volume> <fpage>269</fpage>&#x2013;<lpage>285</lpage>. <pub-id pub-id-type="doi">10.1016/j.ins.2019.01.072</pub-id></citation></ref>
<ref id="B23"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Han</surname> <given-names>W.</given-names></name> <name><surname>Gan</surname> <given-names>T.</given-names></name></person-group> (<year>2022</year>). <article-title>Investors are concerned about whether the performance of green innovation can be improved : the mediating effect of financing constraints and environmental regulation.</article-title> <source><italic>Sci. Technol. Prog. Policy</italic></source> <volume>39</volume> <fpage>58</fpage>&#x2013;<lpage>69</lpage>.</citation></ref>
<ref id="B24"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>He</surname> <given-names>P.</given-names></name> <name><surname>Zhang</surname> <given-names>J.</given-names></name> <name><surname>Li</surname> <given-names>W.</given-names></name></person-group> (<year>2021</year>). <article-title>The role of agricultural green production technologies in improving low-carbon efficiency in China: necessary but not effective.</article-title> <source><italic>J. Environ. Manag.</italic></source> <volume>293</volume>:<issue>112837</issue>. <pub-id pub-id-type="doi">10.1016/j.jenvman.2021.112837</pub-id> <pub-id pub-id-type="pmid">34102495</pub-id></citation></ref>
<ref id="B25"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Hou</surname> <given-names>J.</given-names></name> <name><surname>Wang</surname> <given-names>X.</given-names></name> <name><surname>Xu</surname> <given-names>Q.</given-names></name> <name><surname>Cao</surname> <given-names>Y.</given-names></name> <name><surname>Zhang</surname> <given-names>D.</given-names></name> <name><surname>Zhu</surname> <given-names>J.</given-names></name></person-group> (<year>2021</year>). <article-title>Rice-crayfish systems are not a panacea for sustaining cleaner food production.</article-title> <source><italic>Environ. Sci. Pollut. Res.</italic></source> <volume>28</volume> <fpage>22913</fpage>&#x2013;<lpage>22926</lpage>. <pub-id pub-id-type="doi">10.1007/s11356-021-12345-7</pub-id> <pub-id pub-id-type="pmid">33432412</pub-id></citation></ref>
<ref id="B26"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Hua</surname> <given-names>D.</given-names></name> <name><surname>Anna</surname> <given-names>T.</given-names></name></person-group> (<year>2021</year>). <article-title>An evolutionary game analysis on partner selection of collaborative innovation organization in TCM industry.</article-title> <source><italic>Sci. Technol. Ind.</italic></source> <volume>21</volume> <fpage>229</fpage>&#x2013;<lpage>233</lpage>.</citation></ref>
<ref id="B27"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Huang</surname> <given-names>B.</given-names></name> <name><surname>Bai</surname> <given-names>L.</given-names></name> <name><surname>Roy</surname> <given-names>A.</given-names></name> <name><surname>Ma</surname> <given-names>N.</given-names></name></person-group> (<year>2017</year>). <article-title>A multi-criterion partner selection problem for virtual manufacturing enterprises under uncertainty.</article-title> <source><italic>Int. J. Prod. Econ.</italic></source> <volume>196</volume> <fpage>68</fpage>&#x2013;<lpage>81</lpage>. <pub-id pub-id-type="doi">10.1016/j.ijpe.2017.08.024</pub-id></citation></ref>
<ref id="B28"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>J&#x00E4;ger</surname> <given-names>J. K.</given-names></name> <name><surname>Piscicelli</surname> <given-names>L.</given-names></name></person-group> (<year>2021</year>). <article-title>Collaborations for circular food packaging: the set-up and partner selection process.</article-title> <source><italic>Sustain. Prod. Consum.</italic></source> <volume>26</volume> <fpage>733</fpage>&#x2013;<lpage>740</lpage>. <pub-id pub-id-type="doi">10.1016/j.spc.2020.12.025</pub-id></citation></ref>
<ref id="B29"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Kang</surname> <given-names>Y.</given-names></name> <name><surname>Nie</surname> <given-names>G.</given-names></name> <name><surname>Chen</surname> <given-names>D.</given-names></name> <name><surname>Fu</surname> <given-names>M.</given-names></name></person-group> (<year>2015</year>). <article-title>Cloud service provider partner selection based on genetic algorithm.</article-title> <source><italic>Appl. Res. Comput.</italic></source> <volume>32</volume> <fpage>26</fpage>&#x2013;<lpage>29</lpage>.</citation></ref>
<ref id="B30"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Khanna</surname> <given-names>M.</given-names></name></person-group> (<year>2021</year>). <article-title>Digital transformation of the agricultural sector: pathways, drivers and policy implications.</article-title> <source><italic>Appl. Econ. Perspect. Policy</italic></source> <volume>43</volume> <fpage>1221</fpage>&#x2013;<lpage>1242</lpage>. <pub-id pub-id-type="doi">10.1002/aepp.13103</pub-id></citation></ref>
<ref id="B31"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Lei</surname> <given-names>Q.</given-names></name> <name><surname>Shao</surname> <given-names>B.</given-names></name> <name><surname>Shen</surname> <given-names>J.</given-names></name></person-group> (<year>2021</year>). <article-title>Research on the influencing factors of digital green innovation ecology and economic Benefit in manufacturing Industry.</article-title> <source><italic>Sci. Manag.</italic></source> <volume>2</volume> <fpage>81</fpage>&#x2013;<lpage>90</lpage>.</citation></ref>
<ref id="B32"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Li</surname> <given-names>B.</given-names></name> <name><surname>Yin</surname> <given-names>S.</given-names></name></person-group> (<year>2020</year>). <article-title>ICT enterprise ecological partner selection under the background of digital Transformation-Based on Prospect Theory and Field Theory.</article-title> <source><italic>Manag. Rev.</italic></source> <volume>32</volume> <fpage>165</fpage>&#x2013;<lpage>179</lpage>.</citation></ref>
<ref id="B33"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Li</surname> <given-names>B.</given-names></name> <name><surname>Yin</surname> <given-names>S.</given-names></name> <name><surname>Luo</surname> <given-names>X.</given-names></name></person-group> (<year>2020</year>). <article-title>Ecological partner Selection Field model of Strategic Alliance based on dual Combination weighting.</article-title> <source><italic>Ind. Eng. Manag.</italic></source> <volume>25</volume> <fpage>137</fpage>&#x2013;<lpage>152</lpage>.</citation></ref>
<ref id="B34"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Li</surname> <given-names>J.</given-names></name> <name><surname>Cheng</surname> <given-names>L.</given-names></name> <name><surname>Wu</surname> <given-names>M.</given-names></name></person-group> (<year>2022</year>). <article-title>Market integration and enterprise innovation partner selection under government coordination.</article-title> <source><italic>World Econ.</italic></source> <volume>45</volume> <fpage>187</fpage>&#x2013;<lpage>216</lpage>.</citation></ref>
<ref id="B35"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Li</surname> <given-names>M.</given-names></name> <name><surname>Cao</surname> <given-names>X.</given-names></name> <name><surname>Liu</surname> <given-names>D.</given-names></name> <name><surname>Fu</surname> <given-names>Q.</given-names></name> <name><surname>Li</surname> <given-names>T.</given-names></name> <name><surname>Shang</surname> <given-names>R.</given-names></name></person-group> (<year>2022</year>). <article-title>Sustainable management of agricultural water and land resources under changing climate and socio-economic conditions: a multi-dimensional optimization approach.</article-title> <source><italic>Agric. Water Manag.</italic></source> <volume>259</volume>:<issue>107235</issue>. <pub-id pub-id-type="doi">10.1016/j.agwat.2021.107235</pub-id></citation></ref>
<ref id="B36"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Li</surname> <given-names>X.</given-names></name> <name><surname>Dai</surname> <given-names>J.</given-names></name> <name><surname>Li</surname> <given-names>J.</given-names></name> <name><surname>He</surname> <given-names>J.</given-names></name> <name><surname>Liu</surname> <given-names>X.</given-names></name> <name><surname>Huang</surname> <given-names>Y.</given-names></name><etal/></person-group> (<year>2022a</year>). <article-title>Research on the Impact of Enterprise Green Development Behavior: a Meta-Analytic Approach.</article-title> <source><italic>Behav. Sci.</italic></source> <volume>12</volume>:<issue>35</issue>. <pub-id pub-id-type="doi">10.3390/bs12020035</pub-id> <pub-id pub-id-type="pmid">35200286</pub-id></citation></ref>
<ref id="B37"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Li</surname> <given-names>X.</given-names></name> <name><surname>Huang</surname> <given-names>Y.</given-names></name> <name><surname>Li</surname> <given-names>J.</given-names></name> <name><surname>Liu</surname> <given-names>X.</given-names></name> <name><surname>He</surname> <given-names>J.</given-names></name> <name><surname>Dai</surname> <given-names>J.</given-names></name></person-group> (<year>2022b</year>). <article-title>The mechanism of influencing green technology innovation behavior: evidence from Chinese construction enterprises.</article-title> <source><italic>Buildings</italic></source> <volume>12</volume>:<issue>237</issue>. <pub-id pub-id-type="doi">10.3390/buildings12020237</pub-id></citation></ref>
<ref id="B38"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Lin</surname> <given-names>C.</given-names></name></person-group> (<year>2019</year>). <article-title>Thinking about green financial innovation leading the development of &#x201C;agriculture, rural areas and farmers&#x201D; in the context of rural revitalization strategy.</article-title> <source><italic>Mod. Econ. Inf.</italic></source> <volume>15</volume>:<issue>336</issue>.</citation></ref>
<ref id="B39"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Liu</surname> <given-names>J.</given-names></name> <name><surname>Dong</surname> <given-names>C.</given-names></name> <name><surname>Liu</surname> <given-names>S.</given-names></name> <name><surname>Rahman</surname> <given-names>S.</given-names></name> <name><surname>Sriboonchitta</surname> <given-names>S.</given-names></name></person-group> (<year>2020</year>). <article-title>Sources of total-factor productivity and efficiency changes in China&#x2019;s agriculture.</article-title> <source><italic>Agriculture</italic></source> <volume>10</volume>:<issue>279</issue>. <pub-id pub-id-type="doi">10.3390/agriculture10070279</pub-id></citation></ref>
<ref id="B40"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Liu</surname> <given-names>Y.</given-names></name> <name><surname>Liu</surname> <given-names>C.</given-names></name> <name><surname>Zhou</surname> <given-names>M.</given-names></name></person-group> (<year>2021</year>). <article-title>Does digital inclusive finance promote agricultural production for rural households in China? Research based on the Chinese family database (CFD).</article-title> <source><italic>China Agric. Econ. Rev.</italic></source> <volume>13</volume> <fpage>475</fpage>&#x2013;<lpage>494</lpage>. <pub-id pub-id-type="doi">10.1108/CAER-06-2020-0141</pub-id></citation></ref>
<ref id="B41"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Long</surname> <given-names>H.</given-names></name> <name><surname>Ma</surname> <given-names>L.</given-names></name> <name><surname>Zhang</surname> <given-names>Y.</given-names></name> <name><surname>Qu</surname> <given-names>L.</given-names></name></person-group> (<year>2022</year>). <article-title>Multifunctional rural development in China: pattern, process and mechanism.</article-title> <source><italic>Habitat Int.</italic></source> <volume>121</volume>:<issue>102530</issue>. <pub-id pub-id-type="doi">10.1016/j.habitatint.2022.102530</pub-id></citation></ref>
<ref id="B42"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Lu</surname> <given-names>W.</given-names></name> <name><surname>Sarkar</surname> <given-names>A.</given-names></name> <name><surname>Hou</surname> <given-names>M.</given-names></name> <name><surname>Liu</surname> <given-names>W.</given-names></name> <name><surname>Guo</surname> <given-names>X.</given-names></name> <name><surname>Zhao</surname> <given-names>K.</given-names></name><etal/></person-group> (<year>2022</year>). <article-title>The Impacts of Urbanization to Improve Agriculture Water Use Efficiency&#x2014;An Empirical Analysis Based on Spatial Perspective of Panel Data of 30 Provinces of China.</article-title> <source><italic>Land</italic></source> <volume>11</volume>:<issue>80</issue>. <pub-id pub-id-type="doi">10.3390/land11010080</pub-id></citation></ref>
<ref id="B43"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Ma</surname> <given-names>L.</given-names></name> <name><surname>Long</surname> <given-names>H.</given-names></name> <name><surname>Tang</surname> <given-names>L.</given-names></name> <name><surname>Tu</surname> <given-names>S.</given-names></name> <name><surname>Zhang</surname> <given-names>Y.</given-names></name> <name><surname>Qu</surname> <given-names>Y.</given-names></name></person-group> (<year>2021</year>). <article-title>Analysis of the spatial variations of determinants of agricultural production efficiency in China.</article-title> <source><italic>Comput. Electron. Agric.</italic></source> <volume>180</volume>:<issue>105890</issue>. <pub-id pub-id-type="doi">10.1016/j.compag.2020.105890</pub-id></citation></ref>
<ref id="B44"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Ma</surname> <given-names>W. C.</given-names></name> <name><surname>Ye</surname> <given-names>Y. P.</given-names></name> <name><surname>Xu</surname> <given-names>M. D.</given-names></name></person-group> (<year>2018</year>). <article-title>The matching of industry-university-research institute partners and its effect on knowledge sharing and cooperation performance.</article-title> <source><italic>Nankai Manag. Rev.</italic></source> <volume>21</volume> <fpage>95</fpage>&#x2013;<lpage>106</lpage>.</citation></ref>
<ref id="B45"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Maria</surname> <given-names>K.</given-names></name> <name><surname>Maria</surname> <given-names>B.</given-names></name> <name><surname>Andrea</surname> <given-names>K.</given-names></name></person-group> (<year>2021</year>). <article-title>Exploring actors, their constellations, and roles in digital agricultural innovations.</article-title> <source><italic>Agric. Syst.</italic></source> <volume>186</volume>:<issue>102952</issue>. <pub-id pub-id-type="doi">10.1016/j.agsy.2020.102952</pub-id></citation></ref>
<ref id="B46"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Mousavi</surname> <given-names>S. M.</given-names></name> <name><surname>Gitinavard</surname> <given-names>H.</given-names></name></person-group> (<year>2019</year>). <article-title>An extended multi-attribute group decision approach for selection of outsourcing services activities for information technology under risks.</article-title> <source><italic>Int. J. Appl. Decis. Sci.</italic></source> <volume>12</volume> <fpage>227</fpage>&#x2013;<lpage>241</lpage>. <pub-id pub-id-type="doi">10.1504/IJADS.2019.100437</pub-id> <pub-id pub-id-type="pmid">35009967</pub-id></citation></ref>
<ref id="B47"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Mutamimah</surname> <given-names>M.</given-names></name> <name><surname>Alifah</surname> <given-names>S.</given-names></name> <name><surname>Gunawan</surname> <given-names>G.</given-names></name> <name><surname>Adnjani</surname> <given-names>M. D.</given-names></name></person-group> (<year>2021</year>). <article-title>ICT-based collaborative framework for improving the performance of zakat management organisations in Indonesia.</article-title> <source><italic>J. Islam. Account. Bus. Res.</italic></source> <volume>12</volume> <fpage>887</fpage>&#x2013;<lpage>903</lpage>. <pub-id pub-id-type="doi">10.1108/JIABR-05-2020-0154</pub-id></citation></ref>
<ref id="B48"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Nam</surname> <given-names>W. H.</given-names></name> <name><surname>Kim</surname> <given-names>H. J.</given-names></name> <name><surname>Jeon</surname> <given-names>M. G.</given-names></name> <name><surname>Yun</surname> <given-names>D. H.</given-names></name> <name><surname>Jeong</surname> <given-names>I. G.</given-names></name> <name><surname>Bae</surname> <given-names>G. H.</given-names></name><etal/></person-group> (<year>2021</year>). <article-title>Building the digital infrastructure in rural areas for agricultural water management.</article-title> <source><italic>Mag. Korean Soc. Agric. Eng.</italic></source> <volume>63</volume> <fpage>34</fpage>&#x2013;<lpage>43</lpage>.</citation></ref>
<ref id="B49"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Qian</surname> <given-names>L.</given-names></name> <name><surname>Lu</surname> <given-names>H.</given-names></name> <name><surname>Gao</surname> <given-names>Q.</given-names></name> <name><surname>Lu</surname> <given-names>H.</given-names></name></person-group> (<year>2022</year>). <article-title>Household-owned farm machinery vs. outsourced machinery services: the impact of agricultural mechanization on the land leasing behavior of relatively large-scale farmers in China.</article-title> <source><italic>Land Use Policy</italic></source> <volume>115</volume>:<issue>106008</issue>. <pub-id pub-id-type="doi">10.1016/j.landusepol.2022.106008</pub-id></citation></ref>
<ref id="B50"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Qin</surname> <given-names>X.</given-names></name> <name><surname>Jiang</surname> <given-names>D.</given-names></name> <name><surname>Pretorius</surname> <given-names>L.</given-names></name></person-group> (<year>2021</year>). <article-title>The Impact of Financial Factors on the After-Sales Service of Agricultural Machinery: a Case Study of Chinese Agricultural Machinery in South Africa.</article-title> <source><italic>Asian J. Agric. Rural Dev.</italic></source> <volume>11</volume> <fpage>71</fpage>&#x2013;<lpage>78</lpage>. <pub-id pub-id-type="doi">10.18488/journal.ajard.2021.111.71.78</pub-id></citation></ref>
<ref id="B51"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>R&#x00E4;is&#x00E4;nen</surname> <given-names>J.</given-names></name> <name><surname>Tuovinen</surname> <given-names>T.</given-names></name></person-group> (<year>2020</year>). <article-title>Digital innovations in rural micro-enterprises.</article-title> <source><italic>J. Rural Stud.</italic></source> <volume>73</volume> <fpage>56</fpage>&#x2013;<lpage>67</lpage>. <pub-id pub-id-type="doi">10.1016/j.jrurstud.2019.09.010</pub-id></citation></ref>
<ref id="B52"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Saiz-Rubio</surname> <given-names>V.</given-names></name> <name><surname>Rovira-M&#x00E1;s</surname> <given-names>F.</given-names></name></person-group> (<year>2020</year>). <article-title>From smart farming towards agriculture 5.0: a review on crop data management.</article-title> <source><italic>Agronomy</italic></source> <volume>10</volume>:<issue>207</issue>. <pub-id pub-id-type="doi">10.3390/agronomy10020207</pub-id></citation></ref>
<ref id="B53"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Salembier</surname> <given-names>C.</given-names></name> <name><surname>Segrestin</surname> <given-names>B.</given-names></name> <name><surname>Sinoir</surname> <given-names>N.</given-names></name> <name><surname>Templier</surname> <given-names>J.</given-names></name> <name><surname>Weil</surname> <given-names>B.</given-names></name> <name><surname>Meynard</surname> <given-names>J. M.</given-names></name></person-group> (<year>2020</year>). <article-title>Design of equipment for agroecology: coupled innovation processes led by farmer-designers.</article-title> <source><italic>Agric. Syst.</italic></source> <volume>183</volume>:<issue>102856</issue>. <pub-id pub-id-type="doi">10.1016/j.agsy.2020.102856</pub-id></citation></ref>
<ref id="B54"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Senthil Kumar</surname> <given-names>A.</given-names></name> <name><surname>Suresh</surname> <given-names>G.</given-names></name> <name><surname>Lekashri</surname> <given-names>S.</given-names></name> <name><surname>Babu Loganathan</surname> <given-names>G.</given-names></name> <name><surname>Manikandan</surname> <given-names>R.</given-names></name></person-group> (<year>2021</year>). <article-title>Smart agriculture system with E&#x2013;carbage using IoT.</article-title> <source><italic>Int. J. Mod. Agric.</italic></source> <volume>10</volume> <fpage>928</fpage>&#x2013;<lpage>931</lpage>.</citation></ref>
<ref id="B55"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Su</surname> <given-names>J.</given-names></name> <name><surname>Zhang</surname> <given-names>F.</given-names></name> <name><surname>Wang</surname> <given-names>D.</given-names></name> <name><surname>Hu</surname> <given-names>H.</given-names></name> <name><surname>Li</surname> <given-names>T.</given-names></name></person-group> (<year>2022</year>). <article-title>Partner selection strategy of knowledge supply chain based on knowledge collaboration perspective.</article-title> <source><italic>Comput. Integr. Manuf. Syst.</italic></source> <volume>15</volume> <fpage>1</fpage>&#x2013;<lpage>23</lpage>.</citation></ref>
<ref id="B56"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Tang</surname> <given-names>J. W.</given-names></name> <name><surname>Chen</surname> <given-names>C. J.</given-names></name> <name><surname>Tsai</surname> <given-names>P. H.</given-names></name></person-group> (<year>2022</year>). <article-title>Development of hybrid fuzzy multi-criteria decision approach to evaluate key factors for marketing strategic alliance formation based on multiple theories.</article-title> <source><italic>Manag. Decis. Econ.</italic></source> <volume>43</volume> <fpage>241</fpage>&#x2013;<lpage>261</lpage>. <pub-id pub-id-type="doi">10.1002/mde.3381</pub-id></citation></ref>
<ref id="B57"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Tang</surname> <given-names>S.</given-names></name> <name><surname>Wu</surname> <given-names>X. C.</given-names></name> <name><surname>Zhu</surname> <given-names>J.</given-names></name></person-group> (<year>2020</year>). <article-title>Digital finance and enterprise technology innovation: structural feature, mechanism identification and effect difference under financial supervision.</article-title> <source><italic>Manag. World</italic></source> <volume>36</volume> <fpage>52</fpage>&#x2013;<lpage>66</lpage>.</citation></ref>
<ref id="B58"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Tang</surname> <given-names>Y.</given-names></name> <name><surname>Dananjayan</surname> <given-names>S.</given-names></name> <name><surname>Hou</surname> <given-names>C.</given-names></name> <name><surname>Guo</surname> <given-names>Q.</given-names></name> <name><surname>Luo</surname> <given-names>S.</given-names></name> <name><surname>He</surname> <given-names>Y.</given-names></name></person-group> (<year>2021</year>). <article-title>A survey on the 5G network and its impact on agriculture: challenges and opportunities.</article-title> <source><italic>Comput. Electron. Agric.</italic></source> <volume>180</volume>:<issue>105895</issue>. <pub-id pub-id-type="doi">10.1016/j.compag.2020.105895</pub-id></citation></ref>
<ref id="B59"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Tian</surname> <given-names>H.</given-names></name> <name><surname>Wang</surname> <given-names>T.</given-names></name> <name><surname>Liu</surname> <given-names>Y.</given-names></name> <name><surname>Qiao</surname> <given-names>X.</given-names></name> <name><surname>Li</surname> <given-names>Y.</given-names></name></person-group> (<year>2020</year>). <article-title>Computer vision technology in agricultural automation&#x2014;A review.</article-title> <source><italic>Inf. Process. Agric.</italic></source> <volume>7</volume> <fpage>1</fpage>&#x2013;<lpage>19</lpage>. <pub-id pub-id-type="doi">10.1016/j.inpa.2019.09.006</pub-id></citation></ref>
<ref id="B60"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Tuna</surname> <given-names>E.</given-names></name> <name><surname>Karantininis</surname> <given-names>K.</given-names></name></person-group> (<year>2021</year>). <article-title>Agricultural cooperatives as social capital hubs&#x2013;A case in a post-socialist country.</article-title> <source><italic>J. Co-op. Organ. Manag.</italic></source> <volume>9</volume>:<issue>100134</issue>. <pub-id pub-id-type="doi">10.1016/j.jcom.2021.100134</pub-id></citation></ref>
<ref id="B61"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Venkatesh</surname> <given-names>V. G.</given-names></name> <name><surname>Zhang</surname> <given-names>A.</given-names></name> <name><surname>Deakins</surname> <given-names>E.</given-names></name> <name><surname>Luthra</surname> <given-names>S.</given-names></name> <name><surname>Mangla</surname> <given-names>S.</given-names></name></person-group> (<year>2019</year>). <article-title>A fuzzy AHP-TOPSIS approach to supply partner selection in continuous aid humanitarian supply chains.</article-title> <source><italic>Ann. Oper. Res.</italic></source> <volume>283</volume> <fpage>1517</fpage>&#x2013;<lpage>1550</lpage>. <pub-id pub-id-type="doi">10.1007/s10479-018-2981-1</pub-id></citation></ref>
<ref id="B62"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Wang</surname> <given-names>B.</given-names></name> <name><surname>Song</surname> <given-names>J.</given-names></name> <name><surname>Ren</surname> <given-names>J.</given-names></name> <name><surname>Li</surname> <given-names>K.</given-names></name> <name><surname>Duan</surname> <given-names>H.</given-names></name></person-group> (<year>2019</year>). <article-title>Selecting sustainable energy conversion technologies for agricultural residues: a fuzzy AHP-VIKOR based prioritization from life cycle perspective.</article-title> <source><italic>Resour. Conserv. Recycl.</italic></source> <volume>142</volume> <fpage>78</fpage>&#x2013;<lpage>87</lpage>. <pub-id pub-id-type="doi">10.1016/j.resconrec.2018.11.011</pub-id></citation></ref>
<ref id="B63"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Wang</surname> <given-names>D.</given-names></name> <name><surname>Wei</surname> <given-names>X.</given-names></name> <name><surname>Fang</surname> <given-names>F.</given-names></name></person-group> (<year>2015</year>). <article-title>Research on partner selection of standards R&#x0026;D Alliance based on characteristics of technical standards.</article-title> <source><italic>Sci. Res. Manag.</italic></source> <volume>2015</volume> <fpage>81</fpage>&#x2013;<lpage>89</lpage>.</citation></ref>
<ref id="B64"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Wang</surname> <given-names>H.</given-names></name> <name><surname>Bian</surname> <given-names>P.</given-names></name> <name><surname>Chen</surname> <given-names>Y.</given-names></name></person-group> (<year>2022</year>). <article-title>Strategic alliance partner selection of AI enterprises from the perspective of technological innovation efficiency: a case study of IFlytek.</article-title> <source><italic>J. Tianjin Univ. Commerce</italic></source> <volume>42</volume> <fpage>40</fpage>&#x2013;<lpage>46</lpage>.</citation></ref>
<ref id="B65"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Wang</surname> <given-names>Z.</given-names></name> <name><surname>Liu</surname> <given-names>J.</given-names></name></person-group> (<year>2015</year>). <article-title>Research on the Strategic Partnership between Manufacturers and suppliers based on Green Supply Chain Management.</article-title> <source><italic>Enterprise Econ.</italic></source> <volume>26</volume> <fpage>73</fpage>&#x2013;<lpage>77</lpage>.</citation></ref>
<ref id="B66"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Wang</surname> <given-names>Z.</given-names></name> <name><surname>Liu</surname> <given-names>J.</given-names></name></person-group> (<year>2016</year>). <article-title>Research on the Strategic Partnership between Manufacturers and suppliers based on Green Supply Chain Management.</article-title> <source><italic>Manag. Vertical Horizontal</italic></source> <volume>21</volume> <fpage>73</fpage>&#x2013;<lpage>77</lpage>.</citation></ref>
<ref id="B67"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Wei</surname> <given-names>H. K.</given-names></name> <name><surname>Cui</surname> <given-names>K.</given-names></name></person-group> (<year>2021</year>). <article-title>China&#x2019;s Agricultural Modernization Strategy towards 2035.</article-title> <source><italic>China Econ.</italic></source> <volume>16</volume> <fpage>18</fpage>&#x2013;<lpage>41</lpage>.</citation></ref>
<ref id="B68"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Wei</surname> <given-names>S.</given-names></name> <name><surname>Du</surname> <given-names>J.</given-names></name> <name><surname>Pan</surname> <given-names>S.</given-names></name></person-group> (<year>2022</year>). <article-title>How does the digital economy promote green innovation?: empirical evidence from Chinese cities.</article-title> <source><italic>Rev. Financ. Econ.</italic></source> <volume>20</volume> <fpage>10</fpage>&#x2013;<lpage>24</lpage>.</citation></ref>
<ref id="B69"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Wu</surname> <given-names>F.</given-names></name> <name><surname>Li</surname> <given-names>A.</given-names></name> <name><surname>He</surname> <given-names>S.</given-names></name> <name><surname>Ikbal</surname> <given-names>M.</given-names></name> <name><surname>Eldean</surname> <given-names>M. A. S.</given-names></name></person-group> (<year>2021</year>). <article-title>Research on measurement and control system of common parameters of agricultural equipment based on wireless transmission.</article-title> <source><italic>Int. J. Agric. Environ. Inf. Syst.</italic></source> <volume>12</volume> <fpage>73</fpage>&#x2013;<lpage>86</lpage>. <pub-id pub-id-type="doi">10.4018/IJAEIS.20210401.oa6</pub-id></citation></ref>
<ref id="B70"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Xie</surname> <given-names>X.</given-names></name> <name><surname>Wu</surname> <given-names>Y.</given-names></name> <name><surname>Yan</surname> <given-names>L.</given-names></name></person-group> (<year>2015</year>). <article-title>The path and policy suggestions of enterprise green Development under digital background.</article-title> <source><italic>Ecol. Econ.</italic></source> <volume>11</volume> <fpage>88</fpage>&#x2013;<lpage>91</lpage>.</citation></ref>
<ref id="B71"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Xing</surname> <given-names>Y.</given-names></name> <name><surname>Lei</surname> <given-names>S.</given-names></name> <name><surname>Jianing</surname> <given-names>C.</given-names></name> <name><surname>Amine</surname> <given-names>F. M.</given-names></name> <name><surname>Jun</surname> <given-names>W.</given-names></name> <name><surname>Edmond</surname> <given-names>N.</given-names></name><etal/></person-group> (<year>2021</year>). <article-title>A survey on smart agriculture: development modes, technologies, and security and privacy challenges.</article-title> <source><italic>IEEE/CAA J. Autom. Sin.</italic></source> <volume>8</volume> <fpage>273</fpage>&#x2013;<lpage>302</lpage>. <pub-id pub-id-type="doi">10.1109/JAS.2020.1003536</pub-id></citation></ref>
<ref id="B72"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Xu</surname> <given-names>J.</given-names></name> <name><surname>Gu</surname> <given-names>B.</given-names></name> <name><surname>Tian</surname> <given-names>G.</given-names></name></person-group> (<year>2022</year>). <article-title>Review of agricultural IoT technology.</article-title> <source><italic>Artif. Intell. Agric.</italic></source> <volume>6</volume> <fpage>10</fpage>&#x2013;<lpage>22</lpage>. <pub-id pub-id-type="doi">10.1016/j.aiia.2022.01.001</pub-id></citation></ref>
<ref id="B73"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Yang</surname> <given-names>J.</given-names></name> <name><surname>Li</surname> <given-names>D.</given-names></name></person-group> (<year>2016</year>). <article-title>Selection Method of Cooperative Innovation Partners with Dependent Attributes and Fuzzy Information.</article-title> <source><italic>Oper. Res. Manag. Sci.</italic></source> <volume>25</volume> <fpage>53</fpage>&#x2013;<lpage>58</lpage>.</citation></ref>
<ref id="B74"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Yang</surname> <given-names>T.</given-names></name> <name><surname>Wang</surname> <given-names>Q.</given-names></name></person-group> (<year>2022</year>). <article-title>Research on evaluation Index System of partner selection of traditional manufacturing Enterprises under the background of digital transformation.</article-title> <source><italic>Mechanical</italic></source> <volume>49</volume> <fpage>7</fpage>&#x2013;<lpage>11</lpage>.</citation></ref>
<ref id="B75"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Yang</surname> <given-names>Z.</given-names></name> <name><surname>Li</surname> <given-names>X.</given-names></name> <name><surname>He</surname> <given-names>P.</given-names></name></person-group> (<year>2021</year>). <article-title>A decision algorithm for selecting the design scheme for blockchain-based agricultural product traceability system in q-rung orthopair fuzzy environment.</article-title> <source><italic>J. Clean. Prod.</italic></source> <volume>290</volume>:<issue>125191</issue>. <pub-id pub-id-type="doi">10.1016/j.jclepro.2020.125191</pub-id></citation></ref>
<ref id="B76"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Yin</surname> <given-names>S.</given-names></name> <name><surname>Zhang</surname> <given-names>N.</given-names></name> <name><surname>Li</surname> <given-names>B.</given-names></name></person-group> (<year>2020a</year>). <article-title>Improving the effectiveness of multi-agent cooperation for green manufacturing in China: a theoretical framework to measure the performance of green Technology innovation.</article-title> <source><italic>Int. J. Environ. Res. Public Health</italic></source> <volume>17</volume>:<issue>3211</issue>. <pub-id pub-id-type="doi">10.3390/ijerph17093211</pub-id> <pub-id pub-id-type="pmid">32380729</pub-id></citation></ref>
<ref id="B77"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Yin</surname> <given-names>S.</given-names></name> <name><surname>Zhang</surname> <given-names>N.</given-names></name> <name><surname>Dong</surname> <given-names>H.</given-names></name></person-group> (<year>2020b</year>). <article-title>Preventing COVID-19 from the perspective of industrial information integration: evaluation and continuous improvement of information networks for sustainable epidemic prevention.</article-title> <source><italic>J. Ind. Inf. Integr.</italic></source> <volume>19</volume>:<issue>100157</issue>. <pub-id pub-id-type="doi">10.1016/j.jii.2020.100157</pub-id> <pub-id pub-id-type="pmid">32839741</pub-id></citation></ref>
<ref id="B78"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Yin</surname> <given-names>S.</given-names></name> <name><surname>Zhang</surname> <given-names>N.</given-names></name> <name><surname>Li</surname> <given-names>B.</given-names></name></person-group> (<year>2020c</year>). <article-title>Enhancing the competitiveness of multi-agent cooperation for green manufacturing in China: an empirical study of the measure of green technology innovation capabilities and their influencing factors.</article-title> <source><italic>Sustain. Prod. Consum.</italic></source> <volume>23</volume> <fpage>63</fpage>&#x2013;<lpage>76</lpage>. <pub-id pub-id-type="doi">10.1016/j.spc.2020.05.003</pub-id></citation></ref>
<ref id="B79"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Yin</surname> <given-names>S.</given-names></name> <name><surname>Zhang</surname> <given-names>N.</given-names></name> <name><surname>Li</surname> <given-names>B.</given-names></name> <name><surname>Dong</surname> <given-names>H.</given-names></name></person-group> (<year>2021a</year>). <article-title>Enhancing the effectiveness of multi-agent cooperation for green manufacturing: dynamic co-evolution mechanism of a green technology innovation system based on the innovation value chain.</article-title> <source><italic>Environ. Impact Assess. Rev.</italic></source> <volume>86</volume>:<issue>106475</issue>. <pub-id pub-id-type="doi">10.1016/j.eiar.2020.106475</pub-id></citation></ref>
<ref id="B80"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Yin</surname> <given-names>S.</given-names></name> <name><surname>Zhang</surname> <given-names>N.</given-names></name> <name><surname>Xu</surname> <given-names>J.</given-names></name></person-group> (<year>2021b</year>). <article-title>Information fusion for future COVID-19 prevention: continuous mechanism of big data intelligent innovation for the emergency management of a public epidemic outbreak.</article-title> <source><italic>J. Manag. Anal.</italic></source> <volume>8</volume> <fpage>391</fpage>&#x2013;<lpage>423</lpage>. <pub-id pub-id-type="doi">10.1080/23270012.2021.1945499</pub-id></citation></ref>
<ref id="B81"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Yin</surname> <given-names>S.</given-names></name> <name><surname>Zhang</surname> <given-names>N.</given-names></name> <name><surname>Ullah</surname> <given-names>K.</given-names></name> <name><surname>Gao</surname> <given-names>S.</given-names></name></person-group> (<year>2022</year>). <article-title>Enhancing Digital Innovation for the Sustainable Transformation of Manufacturing Industry: A Pressure-State-Response System Framework to Perceptions of Digital Green Innovation and Its Performance for Green and Intelligent Manufacturing.</article-title> <source><italic>Systems</italic></source> <volume>10</volume>:<issue>72</issue>. <pub-id pub-id-type="doi">10.3390/systems10030072</pub-id></citation></ref>
<ref id="B82"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Yu</surname> <given-names>D.</given-names></name> <name><surname>Yang</surname> <given-names>L.</given-names></name></person-group> (<year>2021</year>). <article-title>The impact of digital finance on enterprise green innovation: a perspective based on regional heterogeneity.</article-title> <source><italic>Credit Rep.</italic></source> <volume>10</volume> <fpage>72</fpage>&#x2013;<lpage>79</lpage>.</citation></ref>
<ref id="B83"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Yu</surname> <given-names>J.</given-names></name> <name><surname>Hu</surname> <given-names>C.</given-names></name></person-group> (<year>2015</year>). <article-title>Study on partner selection of synergy innovation in technology alliance.</article-title> <source><italic>Sci. Manag. Res.</italic></source> <volume>19</volume> <fpage>13</fpage>&#x2013;<lpage>16</lpage>.</citation></ref>
<ref id="B84"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Yue</surname> <given-names>L.</given-names></name> <name><surname>Shao</surname> <given-names>B.</given-names></name> <name><surname>Shen</surname> <given-names>J.</given-names></name></person-group> (<year>2020</year>). <article-title>The impact of industrial Internet on green innovation performance: an empirical study based on manufacturing.</article-title> <source><italic>Technol. Manag.</italic></source> <volume>23</volume> <fpage>28</fpage>&#x2013;<lpage>36</lpage>.</citation></ref>
<ref id="B85"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Zein El-Din</surname> <given-names>A. M.</given-names></name> <name><surname>Youssef Taha</surname> <given-names>R. M.</given-names></name> <name><surname>Abdel Hamied</surname> <given-names>R. G.</given-names></name></person-group> (<year>2021</year>). <article-title>Nanotechnology Sector Applications in Power and Farm Machinery: A Review.</article-title> <source><italic>J. Adv. Agric. Res.</italic></source> <volume>26</volume> <fpage>38</fpage>&#x2013;<lpage>47</lpage>. <pub-id pub-id-type="doi">10.21608/jalexu.2021.170677</pub-id></citation></ref>
<ref id="B86"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Zeng</surname> <given-names>S.</given-names></name> <name><surname>Garg</surname> <given-names>H.</given-names></name> <name><surname>Munir</surname> <given-names>M.</given-names></name> <name><surname>Mahmood</surname> <given-names>T.</given-names></name> <name><surname>Hussain</surname> <given-names>A.</given-names></name></person-group> (<year>2019</year>). <article-title>A multi-attribute decision making process with immediate probabilistic interactive averaging aggregation operators of T-spherical fuzzy sets and its application in the selection of solar cells.</article-title> <source><italic>Energies</italic></source> <volume>12</volume>:<issue>4436</issue>. <pub-id pub-id-type="doi">10.3390/en12234436</pub-id></citation></ref>
<ref id="B87"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Zhai</surname> <given-names>H.</given-names></name></person-group> <collab>Lewis.</collab> (<year>2021</year>). <article-title>Research on the relationship between digital finance development, financing constraints and enterprise green innovation.</article-title> <source><italic>Sci. Technol. Prog. Policy</italic></source> <volume>17</volume> <fpage>116</fpage>&#x2013;<lpage>124</lpage>.</citation></ref>
<ref id="B88"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Zhang</surname> <given-names>H.</given-names></name> <name><surname>Zhang</surname> <given-names>J.</given-names></name> <name><surname>Song</surname> <given-names>J.</given-names></name></person-group> (<year>2022</year>). <article-title>Analysis of the threshold effect of agricultural industrial agglomeration and industrial structure upgrading on sustainable agricultural development in China.</article-title> <source><italic>J. Clean. Prod.</italic></source> <volume>341</volume>:<issue>130818</issue>. <pub-id pub-id-type="doi">10.1016/j.jclepro.2022.130818</pub-id></citation></ref>
<ref id="B89"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Zhang</surname> <given-names>S.</given-names></name> <name><surname>Guo</surname> <given-names>K.</given-names></name> <name><surname>Sun</surname> <given-names>Y.</given-names></name></person-group> (<year>2014</year>). <article-title>Study on the Integrated Evaluation Method for Collaborative Science and Technology Innovation Partners in Global Supply Chain System.</article-title> <source><italic>China Soft Sci.</italic></source> <volume>25</volume> <fpage>164</fpage>&#x2013;<lpage>172</lpage>.</citation></ref>
<ref id="B90"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Zhang</surname> <given-names>X.</given-names></name> <name><surname>Cai</surname> <given-names>Q.</given-names></name></person-group> (<year>2021</year>). <article-title>Research on the construction and optimisation of agricultural product circulation standard system under the internet background.</article-title> <source><italic>Acta Agric. Scand. Section B Soil Plant Sci.</italic></source> <volume>71</volume> <fpage>1006</fpage>&#x2013;<lpage>1016</lpage>. <pub-id pub-id-type="doi">10.1080/09064710.2021.1906941</pub-id></citation></ref>
<ref id="B91"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Zhang</surname> <given-names>X.</given-names></name> <name><surname>Wang</surname> <given-names>X.</given-names></name> <name><surname>Chen</surname> <given-names>H.</given-names></name></person-group> (<year>2021</year>). <article-title>Research on driving factors of green entrepreneurship in agricultural enterprises.</article-title> <source><italic>Chin. Agric. Account.</italic></source> <volume>28</volume> <fpage>42</fpage>&#x2013;<lpage>54</lpage>.</citation></ref>
<ref id="B92"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Zhang</surname> <given-names>Y.</given-names></name> <name><surname>Fei</surname> <given-names>T.</given-names></name> <name><surname>Laili</surname> <given-names>Y.</given-names></name> <name><surname>Hou</surname> <given-names>B.</given-names></name> <name><surname>Lin</surname> <given-names>L.</given-names></name> <name><surname>Lin</surname> <given-names>Z.</given-names></name></person-group> (<year>2013</year>). <article-title>Green partner selection in virtual enterprise based on pareto genetic algorithms.</article-title> <source><italic>Int. J. Adv. Manuf. Technol.</italic></source> <volume>67</volume> <fpage>2109</fpage>&#x2013;<lpage>2125</lpage>. <pub-id pub-id-type="doi">10.1007/s00170-012-4634-x</pub-id></citation></ref>
<ref id="B93"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Zhu</surname> <given-names>X.</given-names></name> <name><surname>Chen</surname> <given-names>W.</given-names></name> <name><surname>Yin</surname> <given-names>H.</given-names></name></person-group> (<year>2014</year>). <article-title>Research on Collaborative Innovation Partner Selection for Enterprises Based on Principal Component Projection and CRITIC Method.</article-title> <source><italic>Forum Sci. Technol. China</italic></source> <volume>11</volume> <fpage>97</fpage>&#x2013;<lpage>102</lpage>.</citation></ref>
</ref-list>
</back>
</article>
