Approximation accuracy analysis of fuzzy systems with the center-average defuzzifier

Author

Xiao-Jun Zheng ; Singh, Madan G.

Author_Institution

Dept. of Comput., Univ. of Manchester Inst. of Sci. & Technol., UK

Volume

1

fYear

1995

fDate

20-24 Mar 1995

Firstpage

109

Abstract

This paper establishes the approximation error bounds for fuzzy systems with the center-average defuzzifier. Based on these bounds, the approximation accuracy of fuzzy systems under different inference methods is compared, which suggest that the class of fuzzy systems generated by the product inference and the center-average defuzzifier have better approximation accuracy and properties than the class of fuzzy systems generated by the min inference and the center-average defuzzifier. In addition, it is proved by using the obtained approximation bounds that fuzzy systems can represent any linear and multilinear functions

Keywords

approximation theory; function approximation; fuzzy logic; fuzzy set theory; fuzzy systems; inference mechanisms; uncertainty handling; approximation accuracy analysis; approximation bounds; approximation error bounds; center-average defuzzifier; fuzzy systems; inference methods; linear functions; min inference; multilinear functions; Approximation error; Fuzzy systems; Mechanical factors;

fLanguage

English

Publisher

ieee

Conference_Titel

Fuzzy Systems, 1995. International Joint Conference of the Fourth IEEE International Conference on Fuzzy Systems and The Second International Fuzzy Engineering Symposium., Proceedings of 1995 IEEE Int

Conference_Location

Yokohama

Print_ISBN

0-7803-2461-7

Type

conf

DOI

10.1109/FUZZY.1995.409668

Filename

409668