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arXiv · 1211.7097

Comments on "Generalization of Shannon-Khinchin axioms to nonextensive systems and the uniqueness theorem for the nonextensive entropy"

Velimir M. Ilic·Miomir S. Stankovic·Edin H. Mulalic
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Abstract

Recently, Suyari has proposed a generalization of Shannon-Khinchin axioms, which determines a class of entropies containing the well-known Tsalis and Havrda-Charvat entropies [H. Suyari, IEEE Trans. Inf. Theory, vol. 50, pp. 1783-1787, Aug. 2004]. In this comment we show that the class of entropy functions determined by Suyari's axioms is wider than the one proposed by Suyari and give a counterexample. Additionally, we generalize Suyari's axioms characterizing recently introduced class of entropies obtained by averaging pseudoadditive information content introduced in [V. Ilic and M. Stankovic, "Comments on "Nonextensive Entropies derived from Form Invariance of Pseudoadditivity"" Submited, 2012].

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Velimir M. Ilic, Miomir S. Stankovic, Edin H. Mulalic. 2012-11-29. Comments on "Generalization of Shannon-Khinchin axioms to nonextensive systems and the uniqueness theorem for the nonextensive entropy". https://arxiv.org/abs/1211.7097

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