DocumentCode
70408
Title
Comments on “Generalization of Shannon–Khinchin Axioms to Nonextensive Systems and the Uniqueness Theorem for the Nonextensive Entropy”
Author
Ilic, Velimir M. ; Stankovic, Milos S. ; Mulalic, Edin H.
Author_Institution
Mathematical Institute of the Serbian Academy of Sciences and Arts, Beograd, Serbia
Volume
59
Issue
10
fYear
2013
fDate
Oct. 2013
Firstpage
6950
Lastpage
6952
Abstract
In this comment, we consider a generalization of the Shannon–Khinchin axioms (GSK axioms) and the uniqueness theorem for the entropy determined by GSK axioms proposed in [H. Suyari, IEEE Trans. Inf. Theory, vol. 50, pp. 1783–1787, Aug. 2004]. It is shown that the class of entropy functions determined by the axioms from the mentioned paper is wider than the one proposed in this paper, and a counterexample is given. We also derive a new class of entropies by fixing the incorrectness which occurs in the mentioned paper.
Keywords
Information measure; Shannon additivity; nonextensive entropy; nonextensive system; pseudoadditivity;
fLanguage
English
Journal_Title
Information Theory, IEEE Transactions on
Publisher
ieee
ISSN
0018-9448
Type
jour
DOI
10.1109/TIT.2013.2259958
Filename
6517927
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