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All Journal Indonesian Journal of Electrical Engineering and Informatics (IJEEI)
Vinai K. Singh
Raj Kumar Goel Engineering College, Affiliated to GBTU Lucknow UP INDIA
Computer Science & IT Electrical & Electronics Engineering

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Approximations of Fuzzy Systems Vinai K. Singh
Indonesian Journal of Electrical Engineering and Informatics (IJEEI) Vol 1, No 1: March 2013
Publisher : IAES Indonesian Section

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.52549/ijeei.v1i1.52

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
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