%0 Journal Article
%T Approximations of Fuzzy Systems
%A Vinai K. Singh
%J Indonesian Journal of Electrical Engineering and Informatics
%D 2013
%I IAES Indonesian Section
%X 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
%K Fuzzy Systems
%K Fuzzy Approximation
%K Centriod Defuzzification
%U http://portalgaruda.org/journals/index.php/IJEEI/article/view/52