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.
Copy the following to cite this article:
V. S. Kumar; P. Thangavelu; K. I., "Approximations of Fuzzy Systems ", Journal of Ultra Scientist of Physical Sciences, Volume 21, Issue 3, Page Number 963-970, 2018Copy the following to cite this URL:
V. S. Kumar; P. Thangavelu; K. I., "Approximations of Fuzzy Systems ", Journal of Ultra Scientist of Physical Sciences, Volume 21, Issue 3, Page Number 963-970, 2018Available from: https://www.ultrascientist.org/paper/1286/