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

Department of Mathematics

Universidad de Tarapacá

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

136 Scopus citations

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.

Original language	English
Pages (from-to)	1517-1527
Number of pages	11
Journal	Fuzzy Sets and Systems
Volume	160
Issue number	11
DOIs	https://doi.org/10.1016/j.fss.2008.10.002
State	Published - 1 Jun 2009

Keywords

Extension principle
Fuzzy differential equation
Fuzzy differential inclusions

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10.1016/j.fss.2008.10.002

Cite this

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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 - Chalco-Cano, Y.

AU - Román-Flores, H.

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N2 - 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.

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

U2 - 10.1016/j.fss.2008.10.002

DO - 10.1016/j.fss.2008.10.002

M3 - Article

AN - SCOPUS:64049113935

SN - 0165-0114

VL - 160

SP - 1517

EP - 1527

JO - Fuzzy Sets and Systems

JF - Fuzzy Sets and Systems

IS - 11

ER -

Comparation between some approaches to solve fuzzy differential equations

Abstract

Keywords

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