Title :
Approximation properties of fuzzy systems generated by the min inference
Author :
Zeng, Xiao-Jun ; Singh, Madan G.
Author_Institution :
Dept. of Comput., Univ. of Manchester Inst. of Sci. & Technol., UK
fDate :
2/1/1996 12:00:00 AM
Abstract :
This paper discusses the approximation properties of fuzzy systems generated by the min inference. Firstly, the paper analyzes the properties of fuzzy basis functions (FBFs); Then based on the properties of FBPs, several basic approximation properties concerning approximation mechanisms, 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 :
fuzzy systems; inference mechanisms; approximation mechanisms; approximation properties; fuzzy basis functions; fuzzy systems; min inference; product inference; uniform approximation bounds; uniform convergency; universal approximation; Bayesian methods; Fuzzy systems; Image restoration; Image segmentation; Lattices; Mechanical factors; Noise generators; Notice of Violation; Parameter estimation; Statistical analysis;
Journal_Title :
Systems, Man, and Cybernetics, Part B: Cybernetics, IEEE Transactions on
DOI :
10.1109/3477.484453
