Journal
FUZZY SETS AND SYSTEMS
Volume 230, Issue -, Pages 119-141Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.fss.2012.10.003
Keywords
Fuzzy-valued function; Strongly generalized differentiability; Generalized Hukuhara differentiability; Generalized fuzzy derivative
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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. (C) 2012 Elsevier B.V. All rights reserved.
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