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A Study of Weighting Exponent m in a Fuzzy c Means Algorithm

GAO Xin bo 1,PEI Ji hong 1,XIE Wei xin 2 (1 School of Electronic Engineering,Xidian University,Xi'an 710071,China 2 President Office,Shenzhen University,Shenzhen 518060,China)  
Weighting exponent m is an important parameter in fuzzy c means(FCM) algorithm.In this paper,three basic pro blems are studied in FCM algorithm:the effect of m on the performance of fuzzy clustering,the optimal choice of m ,and its preliminary applications in clustering validity.Experimental results indicate that an improper choice of m will influence critically on the performance of clustering,and the optimal range of m is within [1 5,2 5] in the practical applications,which is consistent with the conclusion of Pal.In addition,the approach to determining the optimal number of clusters based on the optimal weighting exponent m * is much effective and sensitive.
【Fund】: 国家自然科学基金!(No.69472 0 4 6)
【CateGory Index】: TP391.41
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