Quantitative analyses and development of a \(q\)-incrementation algorithm for FCM with Tsallis entropy maximization

DOI10.1155/2015/404510zbMath1391.94591OpenAlexW1579344794WikidataQ59101910 ScholiaQ59101910MaRDI QIDQ1750204

Makoto Yasuda

Publication date: 18 May 2018

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

Full work available at URL: https://doi.org/10.1155/2015/404510

Mathematics Subject Classification ID

Classification and discrimination; cluster analysis (statistical aspects) (62H30) Measures of information, entropy (94A17) Statistical thermodynamics (82B30)

Related Items (2)

Entropy -- a tale of ice and fire. (Review of some exceptional Tsallis indexes) ⋮ A similarity classifier with Bonferroni mean operators

Cites Work

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• Possibilistic and probabilistic fuzzy clustering: Unification within the framework of the non-extensive thermostatistics
• Possible generalization of Boltzmann-Gibbs statistics.
• Introduction to Nonextensive Statistical Mechanics
• A deterministic annealing approach to clustering
• A <formula formulatype="inline"><tex>$q$</tex></formula>-Parameterized Deterministic Annealing EM Algorithm Based on Nonextensive Statistical Mechanics
• A definition of a nonprobabilistic entropy in the setting of fuzzy sets theory
• Nonextensive statistical mechanics and its applications. Papers from the IMS winter school on statistical mechanics: nonextensive generalization of Boltzmann-Gibbs statistical mechanics and its applications, Okazaki, Japan, February 15--18, 1999

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