Abstract
This article is dealing with the fuzzy clustering
method which combines the deterministic annealing approach
with entropy, especially fuzzy entropy and Tsallis entropy. By
maximizing 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 fuzzy entropy based and Tsallis entropy
based FCM are formulated as DA clustering. Numerical experiments
are performed and the obtained results are compared and
investigated.
