Extension of the Levenberg-Marquardt algorithm for the extraction of trapezoidal and general piecewise linear fuzzy rules

J. Botzheim, L. Kóczy, A. E. Ruano

Research output: Conference contribution

5 Citations (Scopus)

Abstract

This paper discusses how training algorithms for determining membership functions in fuzzy rule based systems can be applied. There are several training algorithms, which have been developed initially for neural networks and can be adapted to fuzzy systems. In this paper the Levenberg-Marquardt algorithm is introduced, allowing the determination of an optimal rule base and converging faster than some more classic methods (e.g. the standard Back Propagation algorithm). The class of membership functions investigated is the trapezoidal one as it is general enough and widely used. The method can be easily extended to arbitrary piecewise linear function as well.

Original languageEnglish
Title of host publicationIEEE International Conference on Fuzzy Systems
Pages815-819
Number of pages5
Volume1
Publication statusPublished - 2002
Event2002 IEEE International Conference on Fuzzy Systems: FUZZ-IEEE'02 - Honolulu, HI, United States
Duration: máj. 12 2002máj. 17 2002

Other

Other2002 IEEE International Conference on Fuzzy Systems: FUZZ-IEEE'02
CountryUnited States
CityHonolulu, HI
Period5/12/025/17/02

Fingerprint

membership functions
education
fuzzy systems

ASJC Scopus subject areas

  • Condensed Matter Physics

Cite this

Botzheim, J., Kóczy, L., & Ruano, A. E. (2002). Extension of the Levenberg-Marquardt algorithm for the extraction of trapezoidal and general piecewise linear fuzzy rules. In IEEE International Conference on Fuzzy Systems (Vol. 1, pp. 815-819)

Extension of the Levenberg-Marquardt algorithm for the extraction of trapezoidal and general piecewise linear fuzzy rules. / Botzheim, J.; Kóczy, L.; Ruano, A. E.

IEEE International Conference on Fuzzy Systems. Vol. 1 2002. p. 815-819.

Research output: Conference contribution

Botzheim, J, Kóczy, L & Ruano, AE 2002, Extension of the Levenberg-Marquardt algorithm for the extraction of trapezoidal and general piecewise linear fuzzy rules. in IEEE International Conference on Fuzzy Systems. vol. 1, pp. 815-819, 2002 IEEE International Conference on Fuzzy Systems: FUZZ-IEEE'02, Honolulu, HI, United States, 5/12/02.
Botzheim J, Kóczy L, Ruano AE. Extension of the Levenberg-Marquardt algorithm for the extraction of trapezoidal and general piecewise linear fuzzy rules. In IEEE International Conference on Fuzzy Systems. Vol. 1. 2002. p. 815-819
Botzheim, J. ; Kóczy, L. ; Ruano, A. E. / Extension of the Levenberg-Marquardt algorithm for the extraction of trapezoidal and general piecewise linear fuzzy rules. IEEE International Conference on Fuzzy Systems. Vol. 1 2002. pp. 815-819
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