Fuzzy clustering method based on perturbation

doi:10.1016/S0898-1221(03)00297-9

	Fuzzy clustering method based on perturbation
	He, Q ; Li, HX ; Shi, ZZ ; Lee, ES
	2003-09-01
发表期刊	COMPUTERS & MATHEMATICS WITH APPLICATIONS
ISSN	0898-1221
卷号	46 期号:5-6 页码:929-946
摘要	Based on the results obtained in the earlier paper [1], the fuzzy clustering method based on perturbation (FCMBP) is further studied and several important results are obtained. First, since the fuzzy similarity matrix equation X-2 = X is one of the most important basic components of the FCMBP approach, the structure of the solutions of this matrix equation is investigated. To express the solutions, the concept of fuzzy equivalent standard form is proposed. Second, the existence of the globally and locally optimal fuzzy equivalent matrices, which are nearest to the given fuzzy similarity matrix, is proved. Third, an effective fuzzy clustering method based on the above results is proposed., Finally, two examples, which show that the result obtained by the FCMBP method is more accurate than that obtained by the transitive closure method, are solved. (C) 2003 Elsevier Ltd. All rights reserved.
关键词	fuzzy similarity matrix fuzzy clustering transitive closure fuzzy clustering based on perturbation
DOI	10.1016/S0898-1221(03)00297-9
收录类别	SCI
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000186293600022
出版者	PERGAMON-ELSEVIER SCIENCE LTD
引用统计	被引频次：9[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	http://119.78.100.204/handle/2XEOYT63/13725
专题	中国科学院计算技术研究所期刊论文_英文
通讯作者	Lee, ES
作者单位	1.Kansas State Univ, Dept Ind & Mfg Syst Engn, Manhattan, KS 66506 USA 2.Chinese Acad Sci, Inst Comp Technol, Key Lab Intelligent Informat Proc, Beijing 100080, Peoples R China 3.Tsing Hua Univ, Dept Automat, Beijing 100084, Peoples R China
推荐引用方式 GB/T 7714	He, Q,Li, HX,Shi, ZZ,et al. Fuzzy clustering method based on perturbation[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS,2003,46(5-6):929-946.
APA	He, Q,Li, HX,Shi, ZZ,&Lee, ES.(2003).Fuzzy clustering method based on perturbation.COMPUTERS & MATHEMATICS WITH APPLICATIONS,46(5-6),929-946.
MLA	He, Q,et al."Fuzzy clustering method based on perturbation".COMPUTERS & MATHEMATICS WITH APPLICATIONS 46.5-6(2003):929-946.