Title :
Approximation properties of fuzzy systems
Author :
Zeng, Xiao- Jun ; Singh, Madan G.
Author_Institution :
Dept. of Comput., Univ. of Manchester Inst. of Sci. & Technol., UK
Abstract :
This paper discusses the approximation properties of fuzzy systems generated by the min inference. Firstly the paper analyzes the fuzzy basis functions (FBFs) and presents several properties of FBFs. Then based on the properties of FBFs, several basic approximation properties concerning approximation mechanism, uniform approximation bounds, uniform convergency, and universal approximation are obtained. Further the similarity and difference between the fuzzy systems generated by the product inference and by the min inference are discussed
Keywords :
approximation theory; fuzzy systems; inference mechanisms; approximation properties; fuzzy basis functions; fuzzy systems; min inference; uniform approximation bounds; uniform convergency; universal approximation; Artificial intelligence; Engines; Fuzzy sets; Fuzzy systems; Input variables; Mechanical factors;
Conference_Titel :
Systems, Man, and Cybernetics, 1994. Humans, Information and Technology., 1994 IEEE International Conference on
Conference_Location :
San Antonio, TX
Print_ISBN :
0-7803-2129-4
DOI :
10.1109/ICSMC.1994.399817
