Title :
Hierarchical fuzzy systems as universal approximators
Author :
Cai, Lijuan ; Cui, Zhanhua ; Liu, Huilin
Author_Institution :
Changchun Univ. of Sci. & Technol., Changchun, China
Abstract :
A way to deal with the rule-explosion problem is to use the hierarchical fuzzy systems. In this paper, the hierarchical fuzzy system is constructed first and the property of the hierarchical system is discussed. Then the error properties of the polynomial and hierarchical polynomial are given. Based on these properties, the universal approximation property of the hierarchical fuzzy systems is proved from the mapping point of view. It is concluded that we can get more general sufficient approximation theorem, based on the Stone-Weierstrass Theorem.
Keywords :
fuzzy set theory; polynomials; Stone-Weierstrass theorem; hierarchical fuzzy systems; hierarchical polynomial; rule explosion problem; universal approximators; Accuracy; Approximation methods; Fuzzy sets; Fuzzy systems; Input variables; Nickel; Polynomials; hierarchical fuzzy system; universal approximator;
Conference_Titel :
Information Theory and Information Security (ICITIS), 2010 IEEE International Conference on
Conference_Location :
Beijing
Print_ISBN :
978-1-4244-6942-0
DOI :
10.1109/ICITIS.2010.5689752
