Title :
Optimal function approximation using fuzzy rules
Author :
Lisin, Dimitri ; Gennert, Michael A.
Author_Institution :
Dept. of Comput. Sci., Worcester Polytech. Inst., MA, USA
Abstract :
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
Keywords :
function approximation; fuzzy logic; fuzzy systems; analytically defined function; fuzzy rules; fuzzy systems; linear approximation; optimal function approximation; universal approximators; Algorithm design and analysis; Computer science; Convergence; Function approximation; Fuzzy sets; Fuzzy systems; Information analysis; Marine vehicles; Mechanical factors; Shape;
Conference_Titel :
Fuzzy Information Processing Society, 1999. NAFIPS. 18th International Conference of the North American
Conference_Location :
New York, NY
Print_ISBN :
0-7803-5211-4
DOI :
10.1109/NAFIPS.1999.781679
