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

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