%0 Journal Article
%T The KKT optimality conditions for constrained programming problem with generalized convex fuzzy mappings
%J Iranian Journal of Fuzzy Systems
%I University of Sistan and Baluchestan
%Z 1735-0654
%A Song, F.
%A Wu, Z. Z
%D 2019
%\ 10/01/2019
%V 16
%N 5
%P 77-95
%! The KKT optimality conditions for constrained programming problem with generalized convex fuzzy mappings
%K Fuzzy mappings
%K Triangular fuzzy number
%K $alpha-$univex
%K $g-$differentiability
%K Fuzzy optimization
%R 10.22111/ijfs.2019.4908
%X 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.
%U https://ijfs.usb.ac.ir/article_4908_5aa9f5dabf7581705ce5736d418b4c1d.pdf