Approximations of Fuzzy Systems
Abstract
A fuzzy system can uniformly approximate any real continuous function on a compact domain to any degree of accuracy. Such results can be viewed as an existence of optimal fuzzy systems. Li-Xin Wang discussed a similar problem using Gaussian membership function and Stone-Weierstrass Theorem. He established that fuzzy systems, with product inference, centroid defuzzification and Gaussian functions are capable of approximating any real continuous function on a compact set to arbitrary accuracy. In this paper we study a similar approximation problem by using exponential membership functions
Keywords
Fuzzy Systems, Fuzzy Approximation, Centriod Defuzzification
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Indonesian Journal of Electrical Engineering and Informatics (IJEEI)
ISSN 2089-3272
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