The Differentiability and Gradient for Fuzzy Mappings Based on The Generalized Difference of Fuzzy Numbers.

Authors :: Shexiang Hai
Fangdi Kong
Source :: Journal of Computational Analysis & Applications. Aug2019, Vol. 27 Issue 2, p284-293. 10p.
Publication Year :: 2019
Abstract: In this paper, the concepts of differentiability and gradient for fuzzy mappings are presented and discussed using the characteristic theorem for generalized difference of n dimensional fuzzy numbers. The relationships of gradient, support-function-wise gradient and level-wise gradient are characterized. [ABSTRACT FROM AUTHOR]

Subjects :: *FUZZY sets
*MATHEMATICAL mappings
*MATHEMATICAL functions
*MATHEMATICAL models
*MATHEMATICAL analysis

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