Deterministic annealing approach to fuzzy \(c\)-means clustering based on entropy maximization

DOI10.1155/2011/960635zbMath1241.94017OpenAlexW2022884387WikidataQ58655038 ScholiaQ58655038MaRDI QIDQ763086

Makoto Yasuda

Publication date: 8 March 2012

Published in: Advances in Fuzzy Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2011/960635

zbMATH Keywords

Tsallis entropyfuzzy clusteringfuzzy \(c\)-meansShannon entropydeterministic annealingfuzzy entropyentropy-based membership functions

Mathematics Subject Classification ID

Classification and discrimination; cluster analysis (statistical aspects) (62H30) Measures of information, entropy (94A17) Fuzzy sets and logic (in connection with information, communication, or circuits theory) (94D05)

Related Items (1)

Deterministic annealing Gustafson-Kessel fuzzy clustering algorithm

Cites Work

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• Optimization by Simulated Annealing
• Possibilistic and probabilistic fuzzy clustering: Unification within the framework of the non-extensive thermostatistics
• Possible generalization of Boltzmann-Gibbs statistics.
• A deterministic annealing approach to clustering
• A definition of a nonprobabilistic entropy in the setting of fuzzy sets theory

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