Authors: | Ilić, Velimir Stanković, Miomir Mulalić, Edin |
Affiliations: | Mathematical Institute of the Serbian Academy of Sciences and Arts |
Title: | Comments on "Generalization of shannon-khinchin axioms to nonextensive systems and the uniqueness theorem for the nonextensive entropy" |
Journal: | IEEE Transactions on Information Theory |
Volume: | 59 |
Issue: | 10 |
First page: | 6950 |
Last page: | 6952 |
Issue Date: | 25-Sep-2013 |
Rank: | M21a |
ISSN: | 0018-9448 |
DOI: | 10.1109/TIT.2013.2259958 |
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 | nonextensive entropy | nonextensive system | pseudoadditivity | Shannon additivity |
Publisher: | IEEE |
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