Comments on "A two-parameter generalization of Shannon-Khinchin Axioms and the uniqueness theorem"
Mathematical Physics
2013-01-30 v1 math.MP
Abstract
Wada and Suyari proposed a two-parameter generalization of Shannon-Khinchin axioms (TGSK axioms) [T. Wada and H. Suyari, Physics Letters A, 368(3)]. We derive a new class of entropies which differs from Wada-Suyari's class by fixing the incorrectness which occurs in the mentioned paper. Also, we consider a two-parameter class of entropies derived from the maxent principle proposed in [Kaniadakis, G. and Lissia, M. and Scarfone, AM, Physica A: Statistical Mechanics and its Applications, 340(1)]. We rederived this class by changing initial condition, obtaining the same class as our class derived from TGSK axioms.
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Cite
@article{arxiv.1301.6935,
title = {Comments on "A two-parameter generalization of Shannon-Khinchin Axioms and the uniqueness theorem"},
author = {Velimir M. Ilic and Edin H. Mulalic and Miomir S. Stankovic},
journal= {arXiv preprint arXiv:1301.6935},
year = {2013}
}
Comments
4 pages