Characterizations of generalized differentiable fuzzy functions

Y. Chalco-Cano; R. Rodríguez-López; M. D. Jiménez-Gamero

doi:10.1016/j.fss.2015.09.005

Characterizations of generalized differentiable fuzzy functions

Y. Chalco-Cano
, R. Rodríguez-López
, M. D. Jiménez-Gamero

Department of Mathematics

University of Santiago de Compostela
University of Seville

Research output: Contribution to journal › Article › peer-review

40 Scopus citations

Abstract

This article deals with generalized differentiable fuzzy functions. Specifically, we give some characterizations of generalized Hukuhara differentiable fuzzy functions through the differentiability of their endpoint functions. Then, we introduce a differentiability concept that is more general than the generalized Hukuhara differentiability and extend the above characterization to this new type of differentiability as well as to g-differentiable fuzzy functions. These characterizations are useful tools for the calculus of derivatives of fuzzy functions.

Original language	English
Pages (from-to)	37-56
Number of pages	20
Journal	Fuzzy Sets and Systems
Volume	295
DOIs	https://doi.org/10.1016/j.fss.2015.09.005
State	Published - 15 Jul 2016

Keywords

Differentiable fuzzy functions
Fuzzy functions
Generalized Hukuhara differentiability
g-Derivative

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10.1016/j.fss.2015.09.005

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AU - Rodríguez-López, R.

AU - Jiménez-Gamero, M. D.

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N2 - This article deals with generalized differentiable fuzzy functions. Specifically, we give some characterizations of generalized Hukuhara differentiable fuzzy functions through the differentiability of their endpoint functions. Then, we introduce a differentiability concept that is more general than the generalized Hukuhara differentiability and extend the above characterization to this new type of differentiability as well as to g-differentiable fuzzy functions. These characterizations are useful tools for the calculus of derivatives of fuzzy functions.

AB - This article deals with generalized differentiable fuzzy functions. Specifically, we give some characterizations of generalized Hukuhara differentiable fuzzy functions through the differentiability of their endpoint functions. Then, we introduce a differentiability concept that is more general than the generalized Hukuhara differentiability and extend the above characterization to this new type of differentiability as well as to g-differentiable fuzzy functions. These characterizations are useful tools for the calculus of derivatives of fuzzy functions.

KW - Differentiable fuzzy functions

KW - Fuzzy functions

KW - Generalized Hukuhara differentiability

KW - g-Derivative

UR - https://www.scopus.com/pages/publications/84945544176

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DO - 10.1016/j.fss.2015.09.005

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SN - 0165-0114

VL - 295

SP - 37

EP - 56

JO - Fuzzy Sets and Systems

JF - Fuzzy Sets and Systems

ER -

Characterizations of generalized differentiable fuzzy functions

Abstract

Keywords

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