This paper is dealing with the fuzzy clustering method which combines the deterministic annealing (DA) approach with an entropy,\r\nespecially the Shannon entropy and the Tsallis entropy. By maximizing the Shannon entropy, the fuzzy entropy, or the Tsallis\r\nentropy within the framework of the fuzzy c-means (FCM) method, membership functions similar to the statistical mechanical\r\ndistribution functions are obtained. We examine characteristics of these entropy-based membership functions from the statistical\r\nmechanical point of view. After that, both the Shannon- and Tsallis-entropy-based FCMs are formulated as DA clustering using\r\nthe very fast annealing (VFA) method as a cooling schedule. Experimental results indicate that the Tsallis-entropy-based FCM is\r\nstable with very fast deterministic annealing and suitable for this annealing process.
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