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

Document Type : Research Paper

Authors

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

Abstract

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.

Keywords

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