Optimal function approximation using fuzzy rules
Денис Олександрович Лісін, Michael A. Gennert · 2003
It has been constructively proven by Kosko (1994) that fuzzy systems are universal approximators. However, the proof does not provide an algorithm to build a fuzzy system that approximates an analytically defined function to an arbitrary precision with a minimum number of fuzzy rules. We describe a method that utilizes the information contained in the analytic definition of a function, such as its first and second derivatives, to build a fuzzy system that approximates it.