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STABILITY OF FUZZY DYNAMIC SYSTEMS

MARINA TUYAKO MIZUKOSHI

Institute of Mathematics and Statistics, Federal University of Goiás, Goiânia, GO, 74001-970, Brazil

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LAÉCIO CARVALHO BARROS

Department of Applied Mathematics, IMECC, State University of Campinas, 13083-859, Campinas, São Paulo, Brazil

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, and

RODNEY CARLOS BASSANEZI

Center of Mathematics, Computation and Cognition, CMCC, Federal University of ABC, 09210-170, Santo André, São Paulo, Brazil

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https://doi.org/10.1142/S0218488509005747Cited by:44 (Source: Crossref)

Abstract

In this work we are study the Fuzzy Initial Value Problem (FIVP) with parameters and/or initial conditions given by fuzzy sets. Starting from the flow equation of the deterministic Initial Value Problem (IVP) associates to FIVP, we obtain the FIVP flow, through the principle of Zadeh. Follow, we introduce the concept of fuzzy equilibrium stability of FIVP and some examples are given.

Keywords:

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