On uniqueness theorems for Tsallis entropy and Tsallis relative entropy
<|reference_start|>On uniqueness theorems for Tsallis entropy and Tsallis relative entropy: 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.<|reference_end|>
@article{furuichi2004on,
    title={On uniqueness theorems for Tsallis entropy and Tsallis relative entropy},
    author={Shigeru Furuichi},
    journal={IEEE Trans. on Information Theory, Vol.51(2005),pp.3638-3645},
    year={2004},
    doi={10.1109/TIT.2005.855606},
    archivePrefix={arXiv},
    eprint={cond-mat/0410270},
    primaryClass={cond-mat.stat-mech cs.IT math.IT}
}