The s-differentiability of a fuzzy-valued mapping

被引：10

作者：

Rodríguez-Muñiz, LJ

López-Díaz, M

Gil, MA

Ralescu, DA

机构：

[1] Univ Oviedo, Dept Estadist IO & DM, Oviedo 33071, Spain

[2] Univ Cincinnati, Dept Math Sci, Cincinnati, OH 45221 USA

来源：

INFORMATION SCIENCES | 2003年 / 151卷

基金：

美国国家科学基金会;

关键词：

conical differentiability; De Blasi differentiability; fuzzy-valued mapping; pi-differentiability; s-differentiability; support function;

D O I：

10.1016/S0020-0255(02)00401-2

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

Several approaches to define the differential of fuzzy-valued mappings can be found in the literature. In this paper we introduce a new concept of differential of a fuzzy-valued mapping, which is based on the notion of differential of the support function associated with such a mapping. Properties of the new concept, as well as the relation between it and previous approaches are also analyzed in detail., (C) 2002 Elsevier Science Inc. All rights reserved.

引用

页码：283 / 299

页数：17

共 27 条

[1] A CALCULUS FOR SET-VALUED MAPS AND SET-VALUED EVOLUTION-EQUATIONS [J].