Comparation between some approaches to solve fuzzy differential equations

Authors:
Y. Chalco-Cano;H. Román-Flores
Affiliations:
Departamento de Matemática, Universidad de Tarapacá, Casilla 7D, Arica, Chile;Instituto de Investigación, Universidad de Tarapacá, Casilla 7D, Arica, Chile
Venue:
Fuzzy Sets and Systems
Year:
2009

Citing 24
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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.