Comparation between some approaches to solve fuzzy differential equations

Y. Chalco-Cano; H. Román-Flores

doi:10.1016/j.fss.2008.10.002

Comparation between some approaches to solve fuzzy differential equations

Y. Chalco-Cano
, H. Román-Flores

Departamento de Matemática

Universidad de Tarapacá

Producción científica: Contribución a una revista › Artículo › revisión exhaustiva

136 Citas (Scopus)

Resumen

In this paper, we study the class of fuzzy differential equations where the dynamics is given by a continuous fuzzy mapping which is obtained via Zadeh's extension principle. We get a fuzzy solution for this class of fuzzy differential equations and several illustrative examples are presented. We also give some properties and we show the relationships with others interpretation. Finally, we propose a numerical procedure for obtaining the fuzzy solution.

Idioma original	Inglés
Páginas (desde-hasta)	1517-1527
Número de páginas	11
Publicación	Fuzzy Sets and Systems
Volumen	160
N.º	11
DOI	https://doi.org/10.1016/j.fss.2008.10.002
Estado	Publicada - 1 jun. 2009

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title = "Comparation between some approaches to solve fuzzy differential equations",

abstract = "In this paper, we study the class of fuzzy differential equations where the dynamics is given by a continuous fuzzy mapping which is obtained via Zadeh's extension principle. We get a fuzzy solution for this class of fuzzy differential equations and several illustrative examples are presented. We also give some properties and we show the relationships with others interpretation. Finally, we propose a numerical procedure for obtaining the fuzzy solution.",

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AU - Román-Flores, H.

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AB - In this paper, we study the class of fuzzy differential equations where the dynamics is given by a continuous fuzzy mapping which is obtained via Zadeh's extension principle. We get a fuzzy solution for this class of fuzzy differential equations and several illustrative examples are presented. We also give some properties and we show the relationships with others interpretation. Finally, we propose a numerical procedure for obtaining the fuzzy solution.

KW - Extension principle

KW - Fuzzy differential equation

KW - Fuzzy differential inclusions

UR - https://www.scopus.com/pages/publications/64049113935

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Comparation between some approaches to solve fuzzy differential equations

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