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International Conference on Knowledge-Based and Intelligent Information and Engineering Systems

KES 2004: Knowledge-Based Intelligent Information and Engineering Systems pp 731–737Cite as

Analysis of Chaotic Mapping in Recurrent Fuzzy Rule Bases

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Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 3214))

Abstract

This paper is devoted to clarify the chaotic properties of recurrent fuzzy rule bases. Conditions of chaotic behavior (in the sense of Li-Yorke) are proposed for rule bases. We will find the minimal number of rules of 0th and 1st orders Takagi-Sugeno model that produce chaotic orbits. We also propose methods to identification the chaotic behavior for an arbitrary number of rules in Takagi-Sugeno models. This approach is based on so-called clusters of chaos and backward interval mapping. Simulation results confirm the efficiency of the proposed approach in analysis task.

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References

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Author information

Authors and Affiliations

  1. National Aerospace University, Tchkalov str., 17, Kharkiv, 61070, Ukraine

    Alexander Sokolov

  2. University of Applied Sciences, Zittau/Goerlitz, IPM, Theodor-Koerner-Allee 16, Zittau, 02763, Germany

    Michael Wagenknecht

Authors
  1. Alexander Sokolov
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  2. Michael Wagenknecht
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Editor information

Editors and Affiliations

  1. KES International, 2nd Floor, 145-157 St John Street, EC1V 4PY, London, United Kingdom

    Mircea Gh. Negoita

  2. Centre for SMART systems Engineering Research Centre, University of Brighton, BN2 4GJ, Moulsecoomb, Brighton, UK

    Robert J. Howlett

  3. School of Electrical and Information Engineering, Knowledge Based Intelligent Engineering Systems Centre, University of South Australia, Mawson Lakes, 5095, Mawson Lakes, SA, Australia

    Lakhmi C. Jain

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© 2004 Springer-Verlag Berlin Heidelberg

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Sokolov, A., Wagenknecht, M. (2004). Analysis of Chaotic Mapping in Recurrent Fuzzy Rule Bases. In: Negoita, M.G., Howlett, R.J., Jain, L.C. (eds) Knowledge-Based Intelligent Information and Engineering Systems. KES 2004. Lecture Notes in Computer Science(), vol 3214. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-30133-2_96

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  • DOI: https://doi.org/10.1007/978-3-540-30133-2_96

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-23206-3

  • Online ISBN: 978-3-540-30133-2

  • eBook Packages: Springer Book Archive

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