The KKT optimality conditions for constrained programming problem with generalized convex fuzzy mappings

نویسندگان

1 College of Applied Mathematics, Chengdu University of Information Technology, Chengdu 610225, P.R. China

2 College of Applied Mathematics, Chengdu University of Information Technology, Chengdu 610225, P.R. China

doi
10.22111/ijfs.2019.4908
چکیده

The aim of present paper is to study a constrained programming with generalized $\alpha-$univex fuzzy mappings. In this paper we introduce the concepts of $\alpha-$univex, $\alpha-$preunivex, pseudo $\alpha-$univex and $\alpha-$unicave fuzzy mappings, and we discover that $\alpha-$univex fuzzy mappings are more general than univex fuzzy mappings. Then, we discuss the relationships of generalized $\alpha-$univex fuzzy mappings and get some properties. In the last, we derive necessary and sufficient Karush-Kuhn-Tucker conditions and its dual problems with generalized differentiable $\alpha-$univex fuzzy mappings for fuzzy constrained programming problem.