On invex fuzzy mappings and fuzzy variational-like inequalities

被引：28
|
作者：
Rufian-Lizana, A. [2 ]
Chalco-Cano, Y. [1 ]
Osuna-Gomez, R. [2 ]
Ruiz-Garzon, G. [3 ]
机构：
[1] Univ Tarapaca, Inst Alta Invest, Arica, Chile
[2] Univ Seville, Dept IO, Seville, Spain
[3] Univ Cadiz, Dept Estadtist & IO, Cadiz, Spain
来源：
FUZZY SETS AND SYSTEMS | 2012年 / 200卷
关键词：
Invex fuzzy mappings; Fuzzy variational-like inequality; Fuzzy optimization; TUCKER OPTIMALITY CONDITIONS; VALUED FUNCTIONS; CONVEX; DIFFERENTIABILITY;
D O I：
10.1016/j.fss.2012.02.001
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
In this paper, we first show the need for introducing invex fuzzy mappings. After that, we show that the concept of invex fuzzy mapping previously given by Wu and Xu are very restrictive and the examples presented there are not correct. Then, we present more general concepts of invex and incave fuzzy mappings involving strongly generalized differentiable fuzzy mapping. Finally, we show that the results obtained by Wu and Xu on the relationship between fuzzy variational-like inequalities and fuzzy optimization problems are still valid using these new concepts. (C) 2012 Elsevier B.V. All rights reserved.
引用
收藏
页码：84 / 98
页数：15
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