Title :
Study on Approaching Precision to Standard Fuzzy Systems with Two Different Basic Functions
Author_Institution :
Dept. of Math., Dalian Maritime Univ., Dalian
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;
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
DOI :
10.1109/ICICIC.2008.518
