Title :
Separable Approximation Property of Hierarchical Fuzzy Systems
Author :
Zeng, Xiao-Jun ; Keane, John A.
Author_Institution :
Sch. of Informatics, Manchester Univ.
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;
Conference_Titel :
Fuzzy Systems, 2005. FUZZ '05. The 14th IEEE International Conference on
Conference_Location :
Reno, NV
Print_ISBN :
0-7803-9159-4
DOI :
10.1109/FUZZY.2005.1452522
