On uniqueness Theorems for Tsallis entropy and Tsallis relative entropy

Authors:
S. Furuichi
Affiliations:
Dept. of Electron. & Comput. Sci., Tokyo Univ. of Sci., Sanyo-Onoda City
Venue:
IEEE Transactions on Information Theory
Year:
2005

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Abstract

The uniqueness theorem for Tsallis entropy was presented in H. Suyari, IEEE Trans. Inf. Theory, vol. 50, pp. 1783-1787, Aug. 2004 by introducing the generalized Shannon-Khinchin axiom. In the present correspondence, 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