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
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;
Conference_Titel :
Machine Learning and Cybernetics, 2003 International Conference on
Print_ISBN :
0-7803-8131-9
DOI :
10.1109/ICMLC.2003.1260000
