On invex fuzzy mappings and fuzzy variational-like inequalities

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• 作者：A. Rufiá ; n-Lizana^a ; Y. Chalco-Cano^b ; ^{ychalco@uta.cl} ; R. Osuna-Gó ; mez^a ; G. Ruiz-Garzó ; n^c
• 关键词：Invex fuzzy mappings ; Fuzzy variational-like inequality ; Fuzzy optimization
• 刊名：Fuzzy Sets and Systems
• 出版年：2012
• 期刊代码：55_01650114
• 类别：cp
• 出版时间：1 August, 2012
• 卷：200
• 期：Complete
• 页码：84-98
• 文件大小：243 K

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.