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Vol: 55(69) No: 4 / December 2010 

A Comparative Study of Various Evolutionary Algorithms and Their Combinations for Optimizing Fuzzy Rule based Inference Systems
Zsolt Dányádi
Department of Telecommunications and Media Informatics, Budapest University of Technology and Economics, Budapest, Hungary, e-mail: dz602@hszk.bme.hu
Krisztián Balázs
Department of Telecommunications and Media Informatics, Budapest University of Technology and Economics , Budapest, Hungary, e-mail: balazs@tmit.bme.hu
László T. Kóczy
Institute of Informatics, Electrical and Mechanical Engineering, Faculty of Engineering Sciences, Széchenyi István University, Győr, Hungary, e-mail: koczy@sze.hu


Keywords: evolutionary algorithm, fuzzy inference, rule-base optimization, co-evolution, fuzzy rule interpolation, multiple populations

Abstract
The goal of this paper is to provide an overview of a variety of evolutionary algorithms, combined with co-evolutionary extensions, and compare their efficiency when applied to fuzzy rule-based inference and learning. Four basic evolutionary methods are presented in this paper, each working with variations on the basic principles, along with two types of auxiliary populations, which provide new mechanisms for generating new individuals. A method that uses multiple populations with different algorithms and connects them through migrations was also included in the comparisons. Fuzzy rule-based inference can be used to model an appropriate outward behavior of a system when given a specific input, which, in the case of this comparative study, is determined by a set of samples. The samples were generated from sufficiently complex objective functions, as well as existing databases, depending on the problem. Optimizing a fuzzy rule-based inference system is a matter of finding a rule-base that is as close to producing the desired behavior as possible. Therefore, the evolutionary algorithms presented here work on rule-base descriptors as the genetic makeup of individuals. These algorithms were applied to real and categorical decision problems, using two different kinds of inference. The results were then compared to determine the general relations between the efficiency of the various evolutionary methods.

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