AUTHOR=Shao Zehui , Kosari Saeed , Shoaib Muhammad , Rashmanlou Hossein TITLE=Certain Concepts of Vague Graphs With Applications to Medical Diagnosis JOURNAL=Frontiers in Physics VOLUME=Volume 8 - 2020 YEAR=2020 URL=https://www.frontiersin.org/journals/physics/articles/10.3389/fphy.2020.00357 DOI=10.3389/fphy.2020.00357 ISSN=2296-424X ABSTRACT=Graphs are among the more ubiquitous models of natural and human-made structures. They are used to model with various categories of relations and process dynamics in biological and social systems. A vague graph has numerous applications in the fields of geometry and operational research. It has been a useful scope in various fields of computer science. In this paper, our important purpose of the study is to describe properties rejection, maximal product, symmetric difference and residue product of vague graphs which have been deeply discussion with different examples and moreover, we investigate some of their other related properties. We also presented the applications of vague set in medical diagnosis.