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
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
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页码:283 / 299
页数:17
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