On uniqueness theorems for Tsallis entropy and Tsallis relative entropy
Shigeru Furuichi
Abstract
The uniqueness theorem for Tsallis entropy was presented in 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: Generalization: The uniqueness theorem for Tsallis relative entropy is shown by means of the generalized Hobson's axiom. Simplification: The uniqueness theorem for Tsallis entropy is shown by means of the generalized Faddeev's axiom.
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