Generalized differentiability of fuzzy-valued functions

Authors:
Barnabás Bede;Luciano Stefanini
Affiliations:
Department of Mathematics, DigiPen Institute of Technology, 9931 Willows Rd NE, Redmond, Washington 98052, USA;DESP - Department of Economics, Society and Political Sciences, University of Urbino "Carlo Bo", Italy
Venue:
Fuzzy Sets and Systems
Year:
2013

Citing 16
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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.