  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].
