The s-differentiability of a fuzzy-valued mapping

Authors:
Luis J. Rodríguez-Muñiz;Miguel López-Díaz;María Ángeles Gil;Dan A. Ralescu
Affiliations:
Departamento de Estadística, I.O. y D.M., Universidad de Oviedo, C/Calvo Sotelo, s/n 33071 Oviedo, Spain;Departamento de Estadística, I.O. y D.M., Universidad de Oviedo, C/Calvo Sotelo, s/n 33071 Oviedo, Spain;Departamento de Estadística, I.O. y D.M., Universidad de Oviedo, C/Calvo Sotelo, s/n 33071 Oviedo, Spain;Department of Mathematical Sciences, University of Cincinnati, Cincinnati, OH
Venue:
Information Sciences—Informatics and Computer Science: An International Journal
Year:
2003

Citing 6
Cited 6

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Abstract

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.