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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