eng Ansari Education and Research Society Journal of Ultra Scientist of Physical Sciences December 2009 21 3 963 970 jusps-A 1286 article V. Suresh Kumar (lakshmikumarvs@yahoo.co.in) 1 P. Thangavelu (ptvelu12@gmail.com) 2 K. Iyakutti 3 Department of Information Technology, Infant Jesus College of Engineering, Keela Valla Nadu, Tuticorin - 628851 (INDIA) Research Department of Mathematics, Aditanar College of Arts and Science, Tiruchendur - 628216 (INDIA) Department of Microprocessor & Computer Applications Mathematics, School of Physics, Maduraj Makraj University, Madurai - 625021 (INDIA) <p style="text-align: justify;">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 membership 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.</p> https://www.ultrascientist.org/paper/1286/ Fuzzy systems Stone Weierstrass Theorem Universal Approximators