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Transformation Lemma on Analytical Modeling Via Takagi-Sugeno Fuzzy System and Its Applications

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Artificial Intelligence and Soft Computing – ICAISC 2006 (ICAISC 2006)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 4029))

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Abstract

The work presents some applications of the transformation lemma on analytical modeling using the Takagi-Sugeno fuzzy rule-based system [7], which can be used for exact fuzzy modeling of some class of conventional systems. The examples are based on recent author’s theorems [5], which provide necessary and sufficient conditions for transformation of fuzzy rules into the crisp model of the system and vice-versa. The fuzzy model represents the widely used Takagi-Sugeno fuzzy system with linear membership functions. The main attention is paid for usability of the results for control engineering community.

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Author information

Authors and Affiliations

  1. Faculty of Electrical and Computer Engineering, Rzeszow University of Technology, 35-959, Rzeszow, W. Pola 2, Poland

    Jacek Kluska

Authors
  1. Jacek Kluska
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Editor information

Editors and Affiliations

  1. Department of Artificial Intelligence, Academy of Humanities and Economics, Poland

    Leszek Rutkowski

  2. Institute of Automatics, AGH University of Science and Technology, Al. Mickiewicza 30, PL-30-059, Kraków, Poland

    Ryszard Tadeusiewicz

  3. Department of Electrical Engineering and Computer Sciences, Berkeley Initiative in Soft Computing (BISC), University of California, 94720-1776, Berkeley, CA, USA

    Lotfi A. Zadeh

  4. Department of Electrical Engineering, University of Louisville, 40292, Louisville, KY, U.S.A

    Jacek M. Żurada

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© 2006 Springer-Verlag Berlin Heidelberg

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Kluska, J. (2006). Transformation Lemma on Analytical Modeling Via Takagi-Sugeno Fuzzy System and Its Applications. In: Rutkowski, L., Tadeusiewicz, R., Zadeh, L.A., Żurada, J.M. (eds) Artificial Intelligence and Soft Computing – ICAISC 2006. ICAISC 2006. Lecture Notes in Computer Science(), vol 4029. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11785231_25

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  • DOI: https://doi.org/10.1007/11785231_25

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-35748-3

  • Online ISBN: 978-3-540-35750-6

  • eBook Packages: Computer ScienceComputer Science (R0)

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