SIMULATING CONTINUOUS FUZZY SYSTEMS: I

Document Type: Research Paper

Authors

1 Department of Mathematics, University of Alabama at Birmingham, Birmingham, Alabama, 35294, USA

2 Department of Computer and Information Sciences, University of Alabama at Birmingham, Birmingham, Alabama, 35294, USA

Abstract

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.

Keywords


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