DocumentCode
2495697
Title
On the solution of the fuzzy c-means model
Author
Mu, Yong-Min ; Yu, Jian ; Huang, Hou-Kuan ; Lin, You-Fang
Author_Institution
Dept. of Comput. Sci. & Technol., Beijing Inf. Technol. Inst., China
Volume
5
fYear
2003
fDate
2-5 Nov. 2003
Firstpage
2711
Abstract
In this paper, we study the properties of the solution of the standard fuzzy c-means (FCM) algorithm, and show that a fuzzy partition including a W-universium is not a solution of FCM. Hence, this paper gives a new explanation that some cluster invalidity index can work for FCM, and provides evidence that the definition of fuzzy partition proposed in is reasonable. Moreover, one conjecture on the solution of FCM is proposed.
Keywords
fuzzy set theory; matrix algebra; pattern clustering; FCM; W-universium; cluster invalidity index; fuzzy c-means algorithm; fuzzy partition; Clustering algorithms; Computer science; Cybernetics; Entropy; Fuzzy sets; Information processing; Information technology; Machine learning; Partitioning algorithms;
fLanguage
English
Publisher
ieee
Conference_Titel
Machine Learning and Cybernetics, 2003 International Conference on
Print_ISBN
0-7803-8131-9
Type
conf
DOI
10.1109/ICMLC.2003.1260000
Filename
1260000
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