Takagi-sugeno approximation of a mamdani fuzzy system

Barnabas Bede, I. Rudas

Research output: Chapter in Book/Report/Conference proceedingChapter

Abstract

In the present paper we construct a higher order Takagi- Sugeno fuzzy system that approximates a Mamdani fuzzy system, with arbitrary accuracy. The goal of this construction is to reduce the computational complexity of a fuzzy systems considered, also to replace a nonlinear operator by an approximate linear operator. The proposed methodology is fully constructive, so it does not require training of the Takagi-Sugeno fuzzy system. The construction combines Takagi-Sugeno systems with the classical Lagrange interpolation.

Original languageEnglish
Title of host publicationAdvance Trends in Soft Computing: Proceedings of WCSC 2013, December 16-18, San Antonio, Texas, USA
PublisherSpringer Verlag
Pages293-300
Number of pages8
Volume312
ISBN (Print)9783319036731
DOIs
Publication statusPublished - Jan 1 2014

Publication series

NameStudies in Fuzziness and Soft Computing
Volume312
ISSN (Print)14349922

Fingerprint

Takagi-Sugeno Fuzzy Systems
Fuzzy systems
Fuzzy Systems
Lagrange Interpolation
Nonlinear Operator
Approximation
Linear Operator
Computational Complexity
Higher Order
Methodology
Arbitrary
Computational complexity
Interpolation
Training

ASJC Scopus subject areas

  • Computer Science (miscellaneous)
  • Computational Mathematics

Cite this

Bede, B., & Rudas, I. (2014). Takagi-sugeno approximation of a mamdani fuzzy system. In Advance Trends in Soft Computing: Proceedings of WCSC 2013, December 16-18, San Antonio, Texas, USA (Vol. 312, pp. 293-300). (Studies in Fuzziness and Soft Computing; Vol. 312). Springer Verlag. https://doi.org/10.1007/978-3-319-03674-8_5

Takagi-sugeno approximation of a mamdani fuzzy system. / Bede, Barnabas; Rudas, I.

Advance Trends in Soft Computing: Proceedings of WCSC 2013, December 16-18, San Antonio, Texas, USA. Vol. 312 Springer Verlag, 2014. p. 293-300 (Studies in Fuzziness and Soft Computing; Vol. 312).

Research output: Chapter in Book/Report/Conference proceedingChapter

Bede, B & Rudas, I 2014, Takagi-sugeno approximation of a mamdani fuzzy system. in Advance Trends in Soft Computing: Proceedings of WCSC 2013, December 16-18, San Antonio, Texas, USA. vol. 312, Studies in Fuzziness and Soft Computing, vol. 312, Springer Verlag, pp. 293-300. https://doi.org/10.1007/978-3-319-03674-8_5
Bede B, Rudas I. Takagi-sugeno approximation of a mamdani fuzzy system. In Advance Trends in Soft Computing: Proceedings of WCSC 2013, December 16-18, San Antonio, Texas, USA. Vol. 312. Springer Verlag. 2014. p. 293-300. (Studies in Fuzziness and Soft Computing). https://doi.org/10.1007/978-3-319-03674-8_5
Bede, Barnabas ; Rudas, I. / Takagi-sugeno approximation of a mamdani fuzzy system. Advance Trends in Soft Computing: Proceedings of WCSC 2013, December 16-18, San Antonio, Texas, USA. Vol. 312 Springer Verlag, 2014. pp. 293-300 (Studies in Fuzziness and Soft Computing).
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