1211.7097 (Velimir M. Ilic et al.)

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

Velimir M. Ilic, Miomir S. Stankovic, Edin H. Mulalic

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].

View original: http://arxiv.org/abs/1211.7097