Saddle Point Optimality Conditions in Fuzzy Optimization Problems

被引：0

作者：

Nehi, Hassan Mishmast ^{[1
]}

Daryab, Ali ^{[1
]}

机构：

[1] Univ Sistan & Baluchestan, Fac Sci, Dept Math, Zahedan, Iran

来源：

INTERNATIONAL JOURNAL OF FUZZY SYSTEMS | 2012年 / 14卷 / 01期

关键词：

Comparable fuzzy mapping; Convex fuzzy mapping; Differentiable fuzzy mapping; Fuzzy Lagrange mapping; Fuzzy numbers; Saddle point; PROGRAMMING PROBLEMS;

D O I：

暂无

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

The Karush-Kuhn-Tucker (KKT) optimality conditions and saddle point optimality conditions in fuzzy programming problems have been studied in literature by various authors under different conditions. In this paper, by considering a partial order relation on the set of fuzzy numbers, and convexity with differentiability of fuzzy mappings, we have obtained the Fritz John (FJ) constraint qualification and KKT necessary conditions for a fuzzy optimization problem with fuzzy coefficients, for first time. Owing to the help of the KKT optimality conditions, we then discuss, the saddle point optimality conditions, associated with a fuzzy optimization problem under convexity and differentiability of fuzzy mappings.

引用

页码：11 / 21

页数：11

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