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Differentiability and convexity of fuzzy mappings

✍ Scribed by Yu-Ru Syau

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
469 KB
Volume
41
Category
Article
ISSN
0898-1221

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✦ Synopsis

Goetschel and Voxman [1]

have introduced the notion of a derivative for fuzzy mappings of one variable in a manner different from the usual one. In this paper, we define a differentiable fuzzy mapping of several variables in ways that parallel the definition, proposed by Goetschel and Voxman [1], for a fuzzy mapping of one variable, and then study some basic differentiability properties of fuzzy mappings from the standpoint of convex analysis. (~) 2001 Elsevier Science Ltd. All rights reserved.

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