Automatic Identification of Fuzzy Models with Modified Gustafson-Kessel Clustering and Least Squares Optimization Methods

Authors:
Grzegorz Glowaty
Affiliations:
Department of Computer Science, AGH University of Science and Technology, Krakow, Poland 30-059
Venue:
ICCS '08 Proceedings of the 8th international conference on Computational Science, Part I
Year:
2008

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Abstract

An automated method to generate fuzzy rules and membership functions from a set of sample data is presented. Our method is based on clustering and uses a modified version of Gustafson-Kessel algorithm. The aim is to divide a product space into set of clusters for which the systems exhibits behavior close to linear. For each of the clusters we produce a fuzzy rule and generate a set of membership functions for the rule antecedent with use of an approach based on curve fitting. Weighted linear least-squares regression is used to obtain consequent functions for TSK-models.