Title :
Fuzzy systems are universal approximators
Author_Institution :
Dept. of Electr. Eng-Syst., Univ. of Southern California, Los Angeles, CA, USA
Abstract :
The author proves that fuzzy systems are universal approximators. The Stone-Weierstrass theorem is used to prove that fuzzy systems with product inference, centroid defuzzification, and a Gaussian membership function are capable of approximating any real continuous function on a compact set to arbitrary accuracy. This result can be viewed as an existence theorem of an optimal fuzzy system for a wide variety of problems
Keywords :
fuzzy set theory; inference mechanisms; modelling; Gaussian membership function; Stone-Weierstrass theorem; centroid defuzzification; compact set; optimal fuzzy system; product inference; real continuous function; universal approximators; Air traffic control; Automobiles; Control system synthesis; Fuzzy sets; Fuzzy systems; Humans; Image processing; Power system modeling; Signal processing; Turning;
Conference_Titel :
Fuzzy Systems, 1992., IEEE International Conference on
Conference_Location :
San Diego, CA
Print_ISBN :
0-7803-0236-2
DOI :
10.1109/FUZZY.1992.258721
