A note on algebra of generalized Hukuhara differentiable fuzzy functions

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Resumen

In this article we deal with the algebra of generalized Hukuhara differentiable fuzzy functions (gH-differentiable fuzzy functions, for short). We show that the sum and the gH-difference of two gH-differentiable fuzzy functions are not necessarily gH-differentiable. Then we give conditions on the two fuzzy functions so that the sum and the gH-difference of these to be gH-differentiable. Moreover we present practical rules for obtaining the gH-derivative of these fuzzy functions. Also, we give a rule for obtaining the gH-derivative of fuzzy functions generate from the multiplication of a real number by a gH-differentiable fuzzy function. The results presented here correct the results obtained previously by other authors.

Idioma originalInglés
Título de la publicación alojada2015 Annual Meeting of the North American Fuzzy Information Processing Society, NAFIPS 2015
EditorialInstitute of Electrical and Electronics Engineers Inc.
ISBN (versión digital)9781467372473
DOI
EstadoPublicada - 29 sep. 2015
EventoAnnual Meeting of the North American Fuzzy Information Processing Society, NAFIPS 2015 - Redmond, Estados Unidos
Duración: 17 ago. 201519 ago. 2015

Serie de la publicación

NombreAnnual Conference of the North American Fuzzy Information Processing Society - NAFIPS
Volumen2015-September

Conferencia

ConferenciaAnnual Meeting of the North American Fuzzy Information Processing Society, NAFIPS 2015
País/TerritorioEstados Unidos
CiudadRedmond
Período17/08/1519/08/15

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