SIMULATING CONTINUOUS FUZZY SYSTEMS: I

In previous studies we first concentrated on utilizing crisp simulation to produce discrete event fuzzy systems simulations. Then we extended this research to the simulation of continuous fuzzy systems models. In this paper we continue our study of continuous fuzzy systems using crisp continuous sim...

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Bibliographic Details
Published inIranian journal of fuzzy systems (Online) Vol. 2; no. 1; p. 1
Main Authors Buckley, J J, Reilly, K D, Jowers, L J
Format Journal Article
LanguageEnglish
Published Zahedan University of Sistan and Baluchestan, Iranian Journal of Fuzzy Systems 01.03.2005
Subjects
Estimates
Simulation
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Summary:In previous studies we first concentrated on utilizing crisp simulation to produce discrete event fuzzy systems simulations. Then we extended this research to the simulation of continuous fuzzy systems models. In this paper we continue our study of continuous fuzzy systems using crisp continuous simulation. Consider a crisp continuous system whose evolution depends on differential equations. Such a system contains a number of parameters that must be estimated. Usually point estimates are computed and used in the model. However these point estimates typically have uncertainty associated with them. We propose to incorporate uncertainty by using fuzzy numbers as estimates of these unknown parameters. Fuzzy parameters convert the crisp system into a fuzzy system. Trajectories describing the behavior of the system become fuzzy curves. We will employ crisp continuous simulation to estimate these fuzzy trajectories. Three examples are discussed.
ISSN:1735-0654
2676-4334
DOI:10.22111/ijfs.2005.471