TY - JOUR
ID - 4908
TI - The KKT optimality conditions for constrained programming problem with generalized convex fuzzy mappings
JO - Iranian Journal of Fuzzy Systems
JA - IJFS
LA - en
SN - 1735-0654
AU - Song, F.
AU - Wu, Z. Z
AD - College of Applied Mathematics, Chengdu University of Information Technology, Chengdu 610225, P.R. China
Y1 - 2019
PY - 2019
VL - 16
IS - 5
SP - 77
EP - 95
KW - Fuzzy mappings
KW - Triangular fuzzy number
KW - $alpha-$univex
KW - $g-$differentiability
KW - Fuzzy optimization
DO - 10.22111/ijfs.2019.4908
N2 - 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.
UR - http://ijfs.usb.ac.ir/article_4908.html
L1 - http://ijfs.usb.ac.ir/article_4908_5aa9f5dabf7581705ce5736d418b4c1d.pdf
ER -