Derivative and Differential of Convex Fuzzy Valued Functions and Application

Authors:
Wu Congxin;Wang Guixiang;Wu Cong
Affiliations:
-;-;-
Venue:
AFSS '02 Proceedings of the 2002 AFSS International Conference on Fuzzy Systems. Calcutta: Advances in Soft Computing
Year:
2002

Citing 6
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Abstract

In this paper we put forward the concepts of directional derivative, differential and subdifferential for fuzzy valued functions, discuss the characterizations of them and the relations among them. We also define the gradients of a fuzzy valued function and study the relation between gradients and partial derivatioves, the relation between the directional a.e. cut-derivatives and the subgradients of the convex fuzzy mappings. At the end, we give two results of application in convex fuzzy programming.