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

Published 2 Nov 2013 in math-ph and math.MP | (1311.0323v1)

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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