Fuzzy differential equations and the extension principle

M. T. Mizukoshi; L. C. Barros; Y. Chalco-Cano; H. Román-Flores; R. C. Bassanezi

doi:10.1016/j.ins.2007.02.039

Fuzzy differential equations and the extension principle

M. T. Mizukoshi
, L. C. Barros
, Y. Chalco-Cano
, H. Román-Flores
, R. C. Bassanezi

Departamento de Matemática

Universidade Federal de Goiás
Universidade Estadual de Campinas
Universidad de Tarapacá

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

179 Citas (Scopus)

Resumen

We study the Cauchy problem for differential equations, considering its parameters and/or initial conditions given by fuzzy sets. These fuzzy differential equations are approached in two different ways: (a) by using a family of differential inclusions; and (b) the Zadeh extension principle for the solution of the model. We conclude that the solutions of the Cauchy problem obtained by both are the same. We also provide some illustrative examples.

Idioma original	Inglés
Páginas (desde-hasta)	3627-3635
Número de páginas	9
Publicación	Information Sciences
Volumen	177
N.º	17
DOI	https://doi.org/10.1016/j.ins.2007.02.039
Estado	Publicada - 1 sept 2007

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abstract = "We study the Cauchy problem for differential equations, considering its parameters and/or initial conditions given by fuzzy sets. These fuzzy differential equations are approached in two different ways: (a) by using a family of differential inclusions; and (b) the Zadeh extension principle for the solution of the model. We conclude that the solutions of the Cauchy problem obtained by both are the same. We also provide some illustrative examples.",

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AU - Barros, L. C.

AU - Chalco-Cano, Y.

AU - Román-Flores, H.

AU - Bassanezi, R. C.

PY - 2007/9/1

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N2 - We study the Cauchy problem for differential equations, considering its parameters and/or initial conditions given by fuzzy sets. These fuzzy differential equations are approached in two different ways: (a) by using a family of differential inclusions; and (b) the Zadeh extension principle for the solution of the model. We conclude that the solutions of the Cauchy problem obtained by both are the same. We also provide some illustrative examples.

AB - We study the Cauchy problem for differential equations, considering its parameters and/or initial conditions given by fuzzy sets. These fuzzy differential equations are approached in two different ways: (a) by using a family of differential inclusions; and (b) the Zadeh extension principle for the solution of the model. We conclude that the solutions of the Cauchy problem obtained by both are the same. We also provide some illustrative examples.

KW - Differential inclusions

KW - Extension principle

KW - Fuzzy differential equation

KW - Fuzzy sets

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Fuzzy differential equations and the extension principle

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