On uniqueness theorems for Tsallis entropy and Tsallis relative entropy

摘要

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