DocumentCode
3402189
Title
Separable Approximation Property of Hierarchical Fuzzy Systems
Author
Zeng, Xiao-Jun ; Keane, John A.
Author_Institution
Sch. of Informatics, Manchester Univ.
fYear
2005
fDate
25-25 May 2005
Firstpage
951
Lastpage
956
Abstract
This paper discusses the capabilities of standard hierarchical fuzzy systems to approximate continuous functions with natural hierarchical structure. The separable approximation property of hierarchical fuzzy systems is proved, that is, the construction of a hierarchical fuzzy system with required approximation accuracy can be achieved by the separate construction of each sub-system with required approximation accuracy. This property provides a simple method to construct hierarchical fuzzy systems for function approximation. Based on the separable approximation property, it is further proved the structure approximation property of hierarchical fuzzy systems
Keywords
function approximation; fuzzy set theory; fuzzy systems; continuous function approximation; hierarchical fuzzy systems; separable approximation property; Function approximation; Fuzzy sets; Fuzzy systems; Informatics; Input variables; Mathematical model; Orbital robotics; Pattern classification; Polynomials; Takagi-Sugeno model;
fLanguage
English
Publisher
ieee
Conference_Titel
Fuzzy Systems, 2005. FUZZ '05. The 14th IEEE International Conference on
Conference_Location
Reno, NV
Print_ISBN
0-7803-9159-4
Type
conf
DOI
10.1109/FUZZY.2005.1452522
Filename
1452522
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