Existence and stability of equilibrium for the uncertainty abstract economy in fuzzy environment

نویسندگان

1 College of Mathematics and statistics, Guizhou University, Guizhou, Guiyang , China

2 College of Mathematics and statistics, Guizhou University, Guizhou, Guiyang , China

doi
10.22111/ijfs.2024.46311.8154
چکیده

For a class of uncertainty abstract economies in fuzzy environment (UASIFEs), we establish for each UASIFE, the existenceof fuzzy strong Berge equilibrium by the Kakutani-Fan Glicksberg fixed point theorem. Moreover, we investigatethe stability of equilibrium, and prove that most UASIFEs are essential and each UASIFE has at least an essentialcomponent by Fort theorem and reduction to absurdity, respectively.