Generalized Differentiability of Fuzzy-valued Functions

Barnab?s Bede () and Luciano Stefanini ()
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Barnab?s Bede: Department of Mathematics, DigiPen Institute of Technology, Redmond,Washington, USA

No 1209, Working Papers from University of Urbino Carlo Bo, Department of Economics, Society & Politics - Scientific Committee - L. Stefanini & G. Travaglini

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.

Keywords: Fuzzy-valued function; Strongly generalized differentiability; Generalized Hukuhara differentiability; Generalized fuzzy derivative. (search for similar items in EconPapers)
JEL-codes: C00 C60 C63 C88 D80 (search for similar items in EconPapers)
Pages: 36 pages
Date: 2012, Revised 2012
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (10)

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http://www.econ.uniurb.it/RePEc/urb/wpaper/WP_12_09.pdf First version, 2012 (application/pdf)

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