Remarks on the Pseudo-Additivity in the Axiomatization of Tsallis Entropy

DOI10.1142/S1230161214500127zbMath1351.94017OpenAlexW2096397707MaRDI QIDQ2938190

Edin H. Mulalić, Radomir S. Stanković, Miomir S. Stanković

Publication date: 14 January 2015

Published in: Open Systems & Information Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1230161214500127

zbMATH Keywords

Tsallis entropyapplication of pseudo-additivity in axiomatic systemsinfluence of independence of systems in entropy of composition

Mathematics Subject Classification ID

Foundations of equilibrium statistical mechanics (82B03) Measures of information, entropy (94A17)

Cites Work

• A characterization of entropy in terms of information loss
• Axioms and uniqueness theorem for Tsallis entropy
• Entropy of type \((\alpha,\beta)\) and other generalized measures in information theory
• Possible generalization of Boltzmann-Gibbs statistics.
• TSALLIS ENTROPY: AXIOMATIC CHARACTERIZATION AND APPLICATION
• On Uniqueness Theorems for Tsallis Entropy and Tsallis Relative Entropy
• Generalization of Shannon–Khinchin Axioms to Nonextensive Systems and the Uniqueness Theorem for the Nonextensive Entropy
• Generalization of Shannon’s theorem for Tsallis entropy
• On the most concise set of axioms and the uniqueness theorem for Tsallis entropy
• Generalized information functions

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