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Novel Cluster Validity Index for FCM Algorithm
作者姓名:Jian  Yu  and  Cui-Xia  Li
作者单位:Institute of Computer Science, Beijing Jiaotong University, Beijing 100044, P.R. China
基金项目:Supported by the National Natural Science Foundation of China under Grant No. 60303014,
摘    要:How to determine an appropriate number of clusters is very important when implementing a specific clustering algorithm, like c-means, fuzzy c-means (FCM). In the literature, most cluster validity indices are originated from partition or geometrical property of the data set. In this paper, the authors developed a novel cluster validity index for FCM, based on the optimality test of FCM. Unlike the previous cluster validity indices, this novel cluster validity index is inherent in FCM itself. Comparison experiments show that the stability index can be used as cluster validity index for the fuzzy c-means.

关 键 词:聚类有效性  最优性测试  FCM算法  聚类算法
收稿时间:2004-09-25
修稿时间:2004-09-252005-06-20

Novel Cluster Validity Index for FCM Algorithm
Jian Yu and Cui-Xia Li.Novel Cluster Validity Index for FCM Algorithm[J].Journal of Computer Science and Technology,2006,21(1):137-140.
Authors:Jian Yu  Cui-Xia Li
Affiliation:(1) Institute of Computer Science, Beijing Jiaotong University, Beijing, 100044, P.R. China
Abstract:How to determine an appropriate number of clusters is very important when implementing a specific clustering algorithm, like c-means, fuzzy c-means (FCM). In the literature, most cluster validity indices are originated from partition or geometrical property of the data set. In this paper, the authors developed a novel cluster validity index for FCM, based on the optimality test of FCM. Unlike the previous cluster validity indices, this novel cluster validity index is inherent in FCM itself. Comparison experiments show that the stability index can be used as cluster validity index for the fuzzy c-means.
Keywords:cluster validity  optimality test  FCM
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