TS Fuzzy Rule-Based Systems with Polynomial Membership Functions

Authors:
Jacek Kluska
Affiliations:
Faculty of Electrical and Computer Engineering, Rzeszow University of Technology, Rzeszow, Poland 35-959
Venue:
ICAISC '08 Proceedings of the 9th international conference on Artificial Intelligence and Soft Computing
Year:
2006

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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.