Parameter determination for a generalized fuzzy model

Authors:
M. F. Azeem;M. Hanmandlu;N. Ahmad
Affiliations:
Electrical Engineering Department, Aligarh Muslim University, 202002, Aligarh, UP, India;Electrical Engineering Department, Indian Institute of Technology, 110 016, Hauz Khas, New Delhi, India;Electrical Engineering Department, Indian Institute of Technology, 110 016, Hauz Khas, New Delhi, India
Venue:
Soft Computing - A Fusion of Foundations, Methodologies and Applications
Year:
2005

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Abstract

This paper underlines a way to evolve a generalized fuzzy model (GFM), using the interpolation of CRI and TS models in their consequent parts of fuzzy rules. The GFM possesses the index of fuzziness of CRI model and the local model of the TS model. The parameters of the GFM are estimated by a two-step process. The consequent part of fuzzy rules is reformulated to suit the LSE framework for estimating the associated parameters. By assuming Generalized Gaussian membership function for the premise parts, Gradient descent technique is used to update its parameters. The performance of two classes of GFM has been tested on two systems and it is shown that class II GFM is the best out of all the fuzzy models tested.