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Directional derivatives and subdifferential of convex fuzzy mappings and application in convex fuzzy programming

โœ Scribed by Guixiang Wang; Congxin Wu

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
419 KB
Volume
138
Category
Article
ISSN
0165-0114

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โœฆ Synopsis

In this paper, we put forward the concepts of directional derivative, di erential and subdi erential of fuzzy mappings from R n into E 1 , and discuss the characterizations of directional derivative and di erential by, respectively, using the directional derivative and di erential of two crisp functions that are determined by the fuzzy mapping. And we also consider the problem of existence of directional derivative for convex fuzzy mappings, and discuss the relations among directional derivative, di erential and subdi erential of fuzzy mappings. At last, we give two results of application in convex fuzzy programming.

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