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Statistical Mechanical Analysis of Fuzzy Clustering Based on Fuzzy Entropy
Makoto YASUDA Takeshi FURUHASHI Shigeru OKUMA
IEICE TRANSACTIONS on Information and Systems
Publication Date: 2007/06/01
Online ISSN: 1745-1361
Print ISSN: 0916-8532
Type of Manuscript: PAPER
Category: Computation and Computational Models
deterministic annealing, fuzzy entropy, fuzzy clustering, fuzzy c-means, Fermi-Dirac statistics,
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This paper deals with statistical mechanical characteristics of fuzzy clustering regularized with fuzzy entropy. We obtain the Fermi-Dirac distribution function as a membership function by regularizing the fuzzy c-means with fuzzy entropy. Then we formulate it as a direct annealing clustering, and examine the meanings of Fermi-Dirac function and fuzzy entropy from a statistical mechanical point of view, and show that this fuzzy clustering method is none other than the Fermi-Dirac statistics.