Generalized differentiability of fuzzy-valued functions

被引：447

作者：

Bede, Barnabas ^{[1
]}

Stefanini, Luciano ^{[2
]}

机构：

[1] DigiPen Inst Technol, Dept Math, Redmond, WA 98052 USA

[2] Univ Urbino Carlo Bo, DESP Dept Econ Soc & Polit Sci, Urbino, Italy

来源：

FUZZY SETS AND SYSTEMS | 2013年 / 230卷

关键词：

Fuzzy-valued function; Strongly generalized differentiability; Generalized Hukuhara differentiability; Generalized fuzzy derivative; METRIC DYNAMICAL-SYSTEMS; EQUATIONS; INTERVAL; INCLUSIONS; EXISTENCE; CALCULUS;

D O I：

10.1016/j.fss.2012.10.003

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

In the present paper, using novel generalizations of the Hukuhara difference for fuzzy sets, we introduce and study new generalized differentiability concepts for fuzzy valued functions. Several properties of the new concepts are investigated and they are compared to similar fuzzy differentiabilities finding connections between them. Characterization and relatively simple expressions are provided for the new derivatives. (C) 2012 Elsevier B.V. All rights reserved.

引用

页码：119 / 141

页数：23

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