Abstract
The work presents some results concerning analytical modeling using the Takagi-Sugeno fuzzy rule-based system, which can be used for exact fuzzy modeling of some class of conventional systems. A special attention was paid to the so called P2-TS systems, which use the polynomial membership functions of the second degree. Theorems provide necessary and sufficient conditions for transformation of fuzzy rules into the crisp model of the system and vice-versa.
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Kluska, J. (2008). TS Fuzzy Rule-Based Systems with Polynomial Membership Functions. In: Rutkowski, L., Tadeusiewicz, R., Zadeh, L.A., Zurada, J.M. (eds) Artificial Intelligence and Soft Computing – ICAISC 2008. ICAISC 2008. Lecture Notes in Computer Science(), vol 5097. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-69731-2_25
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DOI: https://doi.org/10.1007/978-3-540-69731-2_25
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-69572-1
Online ISBN: 978-3-540-69731-2
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