|Affiliations:||Mathematical Institute of the Serbian Academy of Sciences and Arts||Title:||Comments on “On q-non-extensive statistics with non-Tsallisian entropy”||Journal:||Physica A: Statistical Mechanics and its Applications||Volume:||466||First page:||160||Last page:||165||Issue Date:||15-Jan-2017||Rank:||M22||ISSN:||0378-4371||DOI:||10.1016/j.physa.2016.08.078||Abstract:||
Recently, in Jizba and Korbel (2016), four generalized Shannon–Khinchin [GSK] axioms have been proposed and a generalized entropy which uniquely satisfies the GSK axioms has been derived. In this comment, we show that the unique class of the entropies derived in the aforementioned paper is not correct, as it violates the fourth GSK axiom, and we derive the correct one. Nevertheless, the class of entropies proposed in the commented paper still can serve as a basis for generalized statistical mechanics. We propose a new axiomatic system which characterizes the class of entropies.
|Keywords:||Generalized entropy | Information measures | Shannon–Khinchin axioms||Publisher:||Elsevier||Project:||Representations of logical structures and formal languages and their application in computing
Development of new information and communication technologies, based on advanced mathematical methods, with applications in medicine, telecommunications, power systems, protection of national heritage and education
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