Abstract
This article is dealing with the fuzzy clustering method which combines the deterministic annealing (DA) approach with entropy, especially Shannon entropy and Tsallis entropy. By maximizing Shannon entropy, fuzzy entropy or Tsallis entropy within the framework of the fuzzy c-means (FCM) method, membership functions similar to the statistical mechanical distribution functions are obtained. We examine the characteristics of these entropy and membership functions from the statistical mechanical point of view. After that, both Shannon and Tsallis entropy based FCMs are formulated as DA clustering using the very fast annealing (VFA) method as a cooling schedule. Numerical experiments are performed and the obtained results indicates that Tsallis entropy based FCM clustering is suitable for very fast DA clustering.
