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Statistical Mechanical Analysis of Fuzzy Clustering Based on Fuzzy Entropy Makoto YASUDA Takeshi FURUHASHI Shigeru OKUMA Publication IEICE TRANSACTIONS on Information and Systems Vol.E90-D No.6 pp.883-888 Publication Date: 2007/06/01 Online ISSN: 1745-1361 DOI: 10.1093/ietisy/e90-d.6.883 Print ISSN: 0916-8532 Type of Manuscript: PAPER Category: Computation and Computational Models Keyword: deterministic annealing, fuzzy entropy, fuzzy clustering, fuzzy c-means, Fermi-Dirac statistics, Full Text: PDF(172.4KB)>>
Summary: 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. | ||||||||||
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