On uniqueness theorems for Tsallis entropy and Tsallis relative entropy

被引：47
作者：
Furuichi, S [1 ]
机构：
[1] Tokyo Univ Sci, Dept Elect & Comp Sci, Sanyo Onoda 7560884, Japan
来源：
IEEE TRANSACTIONS ON INFORMATION THEORY | 2005年 / 51卷 / 10期
关键词：
generalized Faddeev's axiom; generalized Hobson's axiom; generalized Shannon-Khinchin's axiom; Tsallis entropy; Tsallis relative entropy; uniqueness theorem;
D O I：
10.1109/TIT.2005.855606
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
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.
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页码：3638 / 3645
页数：8
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