Weighting exponent m in fuzzy C-means (FCM) clustering algorithm

Jihong Pei; Xuan Yang; Xinbo Gao; Weixing Xie

doi:10.1117/12.441637

24 September 2001 Weighting exponent m in fuzzy C-means (FCM) clustering algorithm

Jihong Pei, Xuan Yang, Xinbo Gao, Weixing Xie

Author Affiliations +

Proceedings Volume 4554, Object Detection, Classification, and Tracking Technologies; (2001) https://doi.org/10.1117/12.441637
Event: Multispectral Image Processing and Pattern Recognition, 2001, Wuhan, China

Abstract

The weighting exponent m is an important parameter in fuzzy c-means (FCM) algorithm. In this paper, three basic problems about m in FCM algorithm: clustering validity method based on optimal m (or whether does optimal m exist), how does m effect on the performance of fuzzy clustering, and which is the proper range of m in general applications, are studied with the knee of objective function Jm, and fuzzy decision-making methods. Numerical experimental results show that the optimal m* for specific data set does exist. Moreover, a group of numerical experimental results indicate that, within the range of m (epsilon) (1.5, 3.5), the optimal m* monotone increase linearly against the separability (rho) of data set. So in practical applications, one can choose the value of m within the range of [1.5, 3.5].

Citation Download Citation

Jihong Pei, Jihong Pei, Xuan Yang, Xuan Yang, Xinbo Gao, Xinbo Gao, Weixing Xie, Weixing Xie, "Weighting exponent m in fuzzy C-means (FCM) clustering algorithm", Proc. SPIE 4554, Object Detection, Classification, and Tracking Technologies, (24 September 2001); doi: 10.1117/12.441637; https://doi.org/10.1117/12.441637

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