On the Selection of Parameter m in Fuzzy c-Means: A Computational Approach

LG Jaimes, V Torra - Integrated Uncertainty Management and Applications, 2010 - Springer
Integrated Uncertainty Management and Applications, 2010Springer
Several clustering algorithms include one or more parameters to be fixed before its
application. This is also the case of fuzzy c-means, one of the most well-known fuzzy
clustering algorithms, where two parameters c and m are required. c corresponds to the
number of clusters and m to the fuzziness of the solutions. The selection of these parameters
is a critical issue because a bad selection can blur the clusters in the data. In this paper we
propose a method for selecting an appropriate parameter m for fuzzy c-means based on an …
Abstract
Several clustering algorithms include one or more parameters to be fixed before its application. This is also the case of fuzzy c-means, one of the most well-known fuzzy clustering algorithms, where two parameters c and m are required. c corresponds to the number of clusters and m to the fuzziness of the solutions. The selection of these parameters is a critical issue because a bad selection can blur the clusters in the data. In this paper we propose a method for selecting an appropriate parameter m for fuzzy c-means based on an extensive computation. Our approach is based on the application of the clustering algorithm to several instantiations of the same data with different degrees of noise.
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