Nonconvex fuzzy mappings and the fuzzy pre-variational inequality

Authors:
Zezhong Wu;Jiuping Xu
Affiliations:
Uncertainty Decision-Making Laboratory, School of Business and Administration, Sichuan University, Chengdu 610064, China and Department of Computational Science, Chengdu University of Information ...;Uncertainty Decision-Making Laboratory, School of Business and Administration, Sichuan University, Chengdu 610064, China
Venue:
Fuzzy Sets and Systems
Year:
2008

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Abstract

In this paper, we introduce the concepts of fuzzy pseudoconvex, fuzzy invex, fuzzy pseudoinvex and fuzzy preinvex mapping from R^n to the set of fuzzy numbers, and put forward the concepts of fuzzy extended directional differential, subgradient and subdifferential. Some properties are obtained for fuzzy pseudoconvex, fuzzy invex, fuzzy pseudoinvex and fuzzy preinvex mapping; relations are discussed between the fuzzy pre-variational inequality and the fuzzy vector optimization problem.