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arXiv · 1311.0323

Generalized Shannon-Khinchin Axioms and Uniqueness Theorem for Pseudo-additive Entropies

Velimir M. Ilic·Miomir S. Stankovic
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Abstract

We consider the Shannon-Khinchin axiomatic systems for the characterization of generalized entropies such as Sharma-Mital and Frank-Daffertshofer entropy. We provide the generalization of Shannon-Khinchin axioms and give the corresponding uniqueness theorem. The previous attempts at such axiomatizations are also discussed.

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Velimir M. Ilic, Miomir S. Stankovic. 2013-11-02. Generalized Shannon-Khinchin Axioms and Uniqueness Theorem for Pseudo-additive Entropies. https://doi.org/10.1016/j.physa.2014.05.009

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