Title of article :
The KKT optimality conditions for constrained programming problem with generalized convex fuzzy mappings
Author/Authors :
Song, F College of Applied Mathematics - Chengdu University of Information Technology, Chengdu 610225, P.R. China , Wu, Z.Z 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 α−univex fuzzy mappings. In
this paper we introduce the concepts of α−univex, α−preunivex, pseudo α−univex and α−unicave fuzzy mappings,
and we discover that α−univex fuzzy mappings are more general than univex fuzzy mappings. Then, we discuss
the relationships of generalized α−univex fuzzy mappings and get some properties. In the last, we derive necessary
and sucient Karush-Kuhn-Tucker conditions and its dual problems with generalized dierentiable α−univex fuzzy
mappings for fuzzy constrained programming problem.
Keywords :
fuzzy optimization , triangular fuzzy number , Fuzzy mappings , α−univex , g-differentiability
