Study on Approaching Precision to Standard Fuzzy Systems with Two Different Basic Functions

Author

Gang, Chen

Author_Institution

Dept. of Math., Dalian Maritime Univ., Dalian

fYear

2008

fDate

18-20 June 2008

Firstpage

505

Lastpage

505

Abstract

The standard fuzzy systems are established with partition of normal quadratic polynomial membership functions and normal trigonometric membership functions. Universal approximation error bounds of these fuzzy systems from SISO to MISO are given and their relations are founded. The error remainder term and auxiliary function are employed for the first time in proving process. Moreover, advantage and shortcoming of the two fuzzy systems are compared and correlative conclusions are obtained. Finally, computing examples are given and the validity of the conclusions is confirmed.

Keywords

fuzzy set theory; fuzzy systems; MISO; SISO; auxiliary function; error remainder term; fuzzy inference engine; fuzzy rule base; normal quadratic polynomial membership functions; normal trigonometric membership functions; standard fuzzy systems; universal approximation error bounds; Approximation algorithms; Approximation error; Approximation methods; Fuzzy logic; Fuzzy systems; Gaussian approximation; Industrial relations; Laboratories; Mathematics; Polynomials;

fLanguage

English

Publisher

ieee

Conference_Titel

Innovative Computing Information and Control, 2008. ICICIC '08. 3rd International Conference on

Conference_Location

Dalian, Liaoning

Print_ISBN

978-0-7695-3161-8

Electronic_ISBN

978-0-7695-3161-8

Type

conf

DOI

10.1109/ICICIC.2008.518

Filename

4603694