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On uniqueness theorems for Tsallis entropy and Tsallis relative entropy

Shigeru Furuichi
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Abstract

The uniqueness theorem for Tsallis entropy was presented in {\it H.Suyari, IEEE Trans. Inform. Theory, Vol.50, pp.1783-1787 (2004)} by introducing the generalized Shannon-Khinchin's axiom. In the present paper, this result is generalized and simplified as follows: {\it Generalization}: The uniqueness theorem for Tsallis relative entropy is shown by means of the generalized Hobson's axiom. {\it Simplification}: The uniqueness theorem for Tsallis entropy is shown by means of the generalized Faddeev's axiom.

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Shigeru Furuichi. 2005-08-16. On uniqueness theorems for Tsallis entropy and Tsallis relative entropy. https://doi.org/10.1109/tit.2005.855606

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