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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© 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
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