The \(s\)-differentiability of a fuzzy-valued mapping
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.
scientific article; zbMATH DE number 1924640
scientific article