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	Universal approximation of general binary tree-type hierarchical fuzzy systems
	Zhang Xiangyan ; Zhang Naiyao
	2010-05-06 ; 2010-05-06
关键词	Practical Theoretical or Mathematical/ approximation theory fuzzy control fuzzy systems piecewise linear techniques trees (mathematics)/ universal approximation binary tree-type hierarchical fuzzy system multiinput fuzzy system piecewise linear function mean value theorem/ C1340F Fuzzy control C1160 Combinatorial mathematics C4130 Interpolation and function approximation (numerical analysis)
中文摘要	The analysis of the multi-input fuzzy system can become unfunctable as the system size increases. A binary tree-type hierarchical fuzzy system was developed to simplify analysis of large fuzzy systems and the universal approximation of the system is also analyzed. Piecewise linear functions and the mean value theorem are used to prove that the model has the universal approximation property and give the sufficient condition. Contrasting to normal fuzzy systems, hierarchical fuzzy systems have much less fuzzy rules. A simulation example demonstrates that to achieve the same approximation accuracy, hierarchical fuzzy systems use only about one tenth as many as the rules of normal fuzzy systems, greatly simplifying the design.
语种	中文 ; 中文
出版者	Tsinghua Univ. Press ; China
内容类型	期刊论文
源URL	[http://hdl.handle.net/123456789/8994]
专题	清华大学
推荐引用方式 GB/T 7714	Zhang Xiangyan,Zhang Naiyao. Universal approximation of general binary tree-type hierarchical fuzzy systems[J],2010, 2010.
APA	Zhang Xiangyan,&Zhang Naiyao.(2010).Universal approximation of general binary tree-type hierarchical fuzzy systems..
MLA	Zhang Xiangyan,et al."Universal approximation of general binary tree-type hierarchical fuzzy systems".(2010).

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