AUTHOR=Cai Na-Na , Yin Yi-Yuan , Han Qi 

TITLE=Prediction and classification of chemical composition of ancient glass objects based on generalized Shapley functions

JOURNAL=Frontiers in Chemistry

VOLUME=Volume 12 - 2024

YEAR=2024

URL=https://www.frontiersin.org/journals/chemistry/articles/10.3389/fchem.2024.1351143

DOI=10.3389/fchem.2024.1351143

ISSN=2296-2646

ABSTRACT=Ancient glass products have suffered from the baptism of time, experienced changes in the burial environment and weathering, resulting in a change in the proportion of its chemical composition, thus interfering with the determination of its category by later generations. In this paper, the chemical composition of ancient glass products is predicted and identified. Firstly, the multivariate statistical ANOVA test is applied to explore the relationship between whether the cultural relics samples are weathered or not and the glass type, decoration and color, to derive the law of chemical composition on the surface of the cultural relics, and to analyze the correlation and difference among the four factors. Secondly, compared with the relevant data of the existing glass products, the missing values are processed by using the method of filling in the plurality, and the weathering condition of the sampling points of the samples whose surfaces are not weathered is judged by the "distance discrimination method", and combined with the characteristics of the lead-barium glass and the high-potassium glass, the law of the chemical composition content on the surface of the samples, weathered or not, is explored. Again, the modeling of gray prediction method was applied to predict the chemical composition content before weathering. Finally, the generalized Shapley function of fuzzy measurement was used to analyze the correlation between indicators and the correlation between their chemical compositions and their differences. The scheme proposed in this paper can solve the difficult problem of category judgment in archaeology, which is of great significance in promoting the smooth progress of archaeological work.