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Generalized differentiability of fuzzy-valued functions

Authors
Journal
Fuzzy Sets and Systems
0165-0114
Publisher
Elsevier
Publication Date
Volume
230
Identifiers
DOI: 10.1016/j.fss.2012.10.003
Keywords
  • Fuzzy-Valued Function
  • Strongly Generalized Differentiability
  • Generalized Hukuhara Differentiability
  • Generalized Fuzzy Derivative

Abstract

Abstract In the present paper, using novel generalizations of the Hukuhara difference for fuzzy sets, we introduce and study new generalized differentiability concepts for fuzzy valued functions. Several properties of the new concepts are investigated and they are compared to similar fuzzy differentiabilities finding connections between them. Characterization and relatively simple expressions are provided for the new derivatives.

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