A two-parameter entropy and its fundamental properties
A two-parameter entropy and its fundamental properties
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二参数熵及其基本性质
DOI：
10.1142/s0129055x2130003x
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发表时间：
2021
影响因子：
1.8
通讯作者：
S.Furuichi and P. Guha
中科院分区：
文献类型：
--
作者：
D.Dutta;S.Furuichi and P. Guha
本文提出了一种新的双参数广义熵，它可以减少到Tsallis和香农熵的参数的特定值。我们给出了广义熵和广义散度的一些信息论性质，如次可加性、强次可加性、联合凸性和信息单调性.本文对新的广义熵的信息论和信息几何性质进行了研究，并与Tsallis熵和Shannon熵的性质进行了比较。
This article proposes a new two-parameter generalized entropy, which can be reduced to the Tsallis and Shannon entropies for specific values of its parameters. We develop a number of information-theoretic properties of this generalized entropy and divergence, for instance, the sub-additive property, strong sub-additive property, joint convexity, and information monotonicity. This article presents an exposit investigation on the information-theoretic and information-geometric characteristics of the new generalized entropy and compare them with the properties of the Tsallis and Shannon entropies.