Fuzzy clustering method based on perturbation | |
He, Q; Li, HX; Shi, ZZ; Lee, ES | |
刊名 | COMPUTERS & MATHEMATICS WITH APPLICATIONS |
2003-09-01 | |
卷号 | 46期号:5-6页码:929-946 |
关键词 | fuzzy similarity matrix fuzzy clustering transitive closure fuzzy clustering based on perturbation |
ISSN号 | 0898-1221 |
DOI | 10.1016/S0898-1221(03)00297-9 |
英文摘要 | 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. |
WOS研究方向 | Mathematics |
语种 | 英语 |
出版者 | PERGAMON-ELSEVIER SCIENCE LTD |
WOS记录号 | WOS:000186293600022 |
内容类型 | 期刊论文 |
源URL | [http://119.78.100.204/handle/2XEOYT63/13724] |
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. |
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