Title :
Universal Approximation Properties for Fuzzy Logic Systems Based on Monoids
Author :
Fan, Yongqing ; Wang, Yinhe ; Wang, Weichao ; Luo, Liang ; Zhang, Yun
Author_Institution :
Fac. of Autom., Guangdong Univ. of Technol., Guangzhou, China
Abstract :
The concept monoid in mathematical algebraic group is utilized to provide the value ranges of the language variables in fuzzy logic systems. This means that the language interpretation of fuzzy logic systems is determined mainly as the monoids. Then the method is proposed for fuzzy logic systems to determine their universal approximation property by verifying some mathematic conditions of the monoids.
Keywords :
approximation theory; fuzzy logic; fuzzy systems; group theory; linear algebra; fuzzy logic systems; language variables; mathematical algebraic group; universal approximation properties; Approximation methods; Control systems; Fuzzy logic; Input variables; Measurement; Pragmatics; Stability criteria; Monoid; fuzzy logic system; universal approximation property;
Conference_Titel :
Intelligent System Design and Engineering Application (ISDEA), 2010 International Conference on
Conference_Location :
Changsha
Print_ISBN :
978-1-4244-8333-4
DOI :
10.1109/ISDEA.2010.73
