Approximations of Fuzzy Systems
| Main Author: | Singh, Vinai K.; Raj Kumar Goel Engineering College, Affiliated to GBTU Lucknow UP INDIA |
|---|---|
| Other Authors: | Nil |
| Format: | Article info application/pdf eJournal |
| Bahasa: | eng |
| Terbitan: |
IAES Indonesian Section
, 2013
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| Subjects: | |
| Online Access: |
http://section.iaesonline.com/index.php/IJEEI/article/view/52 http://section.iaesonline.com/index.php/IJEEI/article/view/52/pdf |
Daftar Isi:
- 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