Paper
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].
© (2001) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Jihong Pei, Xuan Yang, Xinbo Gao, and Weixing Xie "Weighting exponent m in fuzzy C-means (FCM) clustering algorithm", Proc. SPIE 4554, Object Detection, Classification, and Tracking Technologies, (24 September 2001); https://doi.org/10.1117/12.441637
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Cited by 4 scholarly publications.
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KEYWORDS
Fuzzy logic

IRIS Consortium

Detection and tracking algorithms

Algorithms

Control systems

Fused deposition modeling

Fuzzy systems

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