Optimal Choices of Potential Functions inFuzzy

Fuzzy logic-based clustering techniques are widely used in situations where statistical assumptions are not valid. Whether in estimating cluster centers for model identiication purposes or in determining clusters the existing techniques are essentially based upon the choice of some potential functions. As in any design problems of this kind, the choice of such a function has to be justiied on a theoretical basis. In this work, we set up a decision frame work and show that optimal potential functions are the ones which are used in current techniques.

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