Comments on 'Generalization of Shannon-Khinchin axioms to nonextensive systems and the uniqueness theorem for the nonextensive entropy'
| Autor: | Ilic, Velimir M., Stankovic, Miomir S., Mulalic, Edin H. |
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| Rok vydání: | 2012 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | 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]. Comment: 4 pages |
| Databáze: | arXiv |
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