Defuzzified Clustering Algorithms Derived from the Method of Entropy-Based Fuzzy c-Means

説明

A class of hard c-means algorithms is derived from 'defuzzifying' objective functions of the entropy-based fuzzy c-means and the KL-information based fuzzy c-means. Namely an entropy term is deleted from the objective functions while other parameters of cluster sizes and covariances are preserved. As a result, the objective function becomes linear with respect to the membership whereby a hard c-means algorithm is derived. Variations of the basic hard c-means algorithms are moreover proposed and reduction of computation using iterative matrix inversion is considered. Numerical examples are shown to compare results of proposed algorithms. Finally, a cluster validity measure is used whereby stability of clusters by different algorithms is compared.

収録刊行物

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