Volume 13, Issue 9 pp. 859-886

Some neural net realizations of fuzzy reasoning

Kuhu Pal

Kuhu Pal

Machine Intelligence Unit, Indian Statistical Institute, 203 B. T. Road, Calcutta 700 035, India

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Nikhil Pal

Corresponding Author

Nikhil Pal

Machine Intelligence Unit, Indian Statistical Institute, 203 B. T. Road, Calcutta 700 035, India

Machine Intelligence Unit, Indian Statistical Institute, 203 B. T. Road, Calcutta 700 035, IndiaSearch for more papers by this author
James Keller

James Keller

Computer Engineering and Computer Science Department, 217 Engineering Building West, University of Missouri—Columbia, Columbia, Missouri 65211

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Abstract

In this paper we analyze the neural network implementation of fuzzy logic proposed by Keller et al. [Fuzzy Sets Syst., 45, 1–12 (1992)], derive a learning algorithm for obtaining an optimal α for the net, and, for a special case, we show how one can directly (avoiding training) compute the optimal α. We address how training data can be generated for such a system. Effectiveness of the optimal α is then established through numerical examples. In this regard, several indices for performance evaluation are discussed. Finally, we propose a new architecture and demonstrate its effectiveness with numerical examples. © 1998 John Wiley & Sons, Inc.

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