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Wada and Suyari proposed a two-parameter generalization of Shannon-Khinchinaxioms (TGSK axioms) [T. Wada and H. Suyari, Physics Letters A, 368(3)]. Wederive a new class of entropies which differs from Wada-Suyari's class byfixing the incorrectness which occurs in the mentioned paper. Also, we considera two-parameter class of entropies derived from the maxent principle proposedin [Kaniadakis, G. and Lissia, M. and Scarfone, AM, Physica A: StatisticalMechanics and its Applications, 340(1)]. We rederived this class by changinginitial condition, obtaining the same class as our class derived from TGSKaxioms.

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