Article ID Journal Published Year Pages File Type
390953 Fuzzy Sets and Systems 2008 14 Pages PDF
Abstract

In this paper, we introduce the concepts of fuzzy pseudoconvex, fuzzy invex, fuzzy pseudoinvex and fuzzy preinvex mapping from Rn 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.

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Physical Sciences and Engineering Computer Science Artificial Intelligence