The \(s\)-differentiability of a fuzzy-valued mapping
type: Item
instance of: scholarly article
title: The \(s\)-differentiability of a fuzzy-valued mapping
zbMATH Open document ID: 1027.26028
DOI: 10.1016/S0020-0255(02)00401-2
author: Luis J. Rodríguez-Muñiz
author: Miguel López-Díaz
author: Dan A. Ralescu
author: M. Ángeles Gil
published in: Information Sciences
publication date: 2003-06-09T00:00:00Z
review text: A new concept of the differentiability of fuzzy-valued mappings is presented (\(s\)-differentiability), which utilizes the differential for a Banach space-valued mapping. Connections between the De Blasi differentiability and \(s\)-differentiability, and between the \(\pi\)-differentiability and \(s\)-differentiability are studied. It is shown that the \(s\)-differentiability is implied by both, the De Blasi and the \(\pi\)-differentiability.
Mathematics Subject Classification ID: 26E50
Mathematics Subject Classification ID: 03E72
Mathematics Subject Classification ID: 28E10
zbMATH DE Number: 1924640
zbMATH Keywords: conical differentiability
zbMATH Keywords: De Blasi differentiability
zbMATH Keywords: fuzzy-valued mapping
zbMATH Keywords: \(\pi\)-differentiability
zbMATH Keywords: \(s\)-differentiability
zbMATH Keywords: support function
MaRDI profile type: Publication
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full work available at URL: s0020-0255(02)00401-2
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description: scientific article; zbMATH DE number 1924640