| Authors: | Ilić, Velimir Stanković, Miomir |
Affiliations: | Mathematical Institute of the Serbian Academy of Sciences and Arts | Title: | Generalized Shannon-Khinchin axioms and uniqueness theorem for pseudo-additive entropies | Journal: | Physica A: Statistical Mechanics and its Applications | Volume: | 411 | First page: | 138 | Last page: | 145 | Issue Date: | 1-Oct-2014 | Rank: | M22 | ISSN: | 0378-4371 | DOI: | 10.1016/j.physa.2014.05.009 | Abstract: | We consider the Shannon-Khinchin axiomatic systems for the characterization of generalized entropies such as the Sharma-Mittal and Frank-Daffertshofer entropies. We provide the generalization of the Shannon-Khinchin axioms and give the corresponding uniqueness theorem. The previous attempts at such axiomatizations are also discussed. |
Keywords: | Generalized information measures | Rényi entropy | Shannon entropy | Shannon-Khinchin axioms | Sharma-Mittal entropy | Tsallis entropy | Publisher: | Elsevier | Project: | 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 NSF, Grant CCF-0963726. |
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