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	Equivalence analysis of binary- tree-type hierarchical fuzzy systems
	Du Xinyu ; Zhang Naiyao
	2010-05-06 ; 2010-05-06
关键词	Theoretical or Mathematical/ equivalence classes fuzzy systems hierarchical systems trees (mathematics)/ equivalence analysis binary- tree-type hierarchical fuzzy systems multiple-input-single-output fuzzy systems MISO-FS sum-product inference method linearization rule center of gravity method defuzzification explicit analytical expressions dimensional disaster fuzzy multivariable systems/ C1340B Multivariable control systems C1340F Fuzzy control C1160 Combinatorial mathematics
中文摘要	This paper analyzes multiple-input-single-output fuzzy systems (MISO-FS) with unequally spaced, fully-overlapped, triangular membership functions for the input variables and equally spaced, singleton membership functions for the output variable. The sum-product inference method, linearization rules and the center of gravity method are used for defuzzification. Explicit analytical expressions are given for the MISO-FS along with explicit analytical expressions for binary-tree-type hierarchical fuzzy systems (HFS) to prove the equivalence between MISO-FS and HFS. Since the number of rules in HFS linearly increases with the number of input variables, HFS can be used to replace MISO-FS to solve the "dimensional disaster" problem in fuzzy multivariable systems with large numbers of input variables.
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/123456789/9654]
专题	清华大学
推荐引用方式 GB/T 7714	Du Xinyu,Zhang Naiyao. Equivalence analysis of binary- tree-type hierarchical fuzzy systems[J],2010, 2010.
APA	Du Xinyu,&Zhang Naiyao.(2010).Equivalence analysis of binary- tree-type hierarchical fuzzy systems..
MLA	Du Xinyu,et al."Equivalence analysis of binary- tree-type hierarchical fuzzy systems".(2010).

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