Separated antecedent and consequent learning for Takagi-Sugeno fuzzy systems

János Botzheim, Edwin Lughofer, Erich Peter Klement, László T. Kóczy, Tamás D. Gedeon

Research output: Chapter in Book/Report/Conference proceedingConference contribution

10 Citations (Scopus)

Abstract

In this paper a new algorithm for the learning of Takagi-Sugeno fuzzy systems is introduced. In the algorithm different learning techniques are applied for the antecedent and the consequent parameters of the fuzzy system. We propose a hybrid method for the antecedent parameters learning based on the combination of the Bacterial Evolutionary Algorithm (BEA) and the Levenberg-Marquardt (LM) method. For the linear parameters in fuzzy systems appearing in the rule consequents the Least Squares (LS) and the Recursive Least Squares (RLS) techniques are applied, which will lead to a global optimal solution of linear parameter vectors in the least squares sense. Therefore a better performance can be guaranteed than with a complete learning by BEA and LM. The paper is concluded by evaluation results based on high-dimensional test data. These evaluation results compare the new method with some conventional fuzzy training methods with respect to approximation accuracy and model complexity.

Original languageEnglish
Title of host publication2006 IEEE International Conference on Fuzzy Systems
Pages2263-2269
Number of pages7
DOIs
Publication statusPublished - Dec 1 2006
Event2006 IEEE International Conference on Fuzzy Systems - Vancouver, BC, Canada
Duration: Jul 16 2006Jul 21 2006

Publication series

NameIEEE International Conference on Fuzzy Systems
ISSN (Print)1098-7584

Other

Other2006 IEEE International Conference on Fuzzy Systems
CountryCanada
CityVancouver, BC
Period7/16/067/21/06

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Keywords

  • (recursive) least squares
  • Bacterial evolutionary algorithm
  • Levenberg-Marquardt method
  • Takagi-Sugeno fuzzy systems

ASJC Scopus subject areas

  • Software
  • Theoretical Computer Science
  • Artificial Intelligence
  • Applied Mathematics

Cite this

Botzheim, J., Lughofer, E., Klement, E. P., Kóczy, L. T., & Gedeon, T. D. (2006). Separated antecedent and consequent learning for Takagi-Sugeno fuzzy systems. In 2006 IEEE International Conference on Fuzzy Systems (pp. 2263-2269). [1682014] (IEEE International Conference on Fuzzy Systems). https://doi.org/10.1109/FUZZY.2006.1682014