伪可加性下Tsallis熵的Kolmogorov-Nagumo平均的非推广性
Nongeneralizability of Tsallis Entropy by means of Kolmogorov-Nagumo averages under pseudo-additivity
摘要：
由于可加性是经典信息测度Shannon熵的一个特征性质，所以伪可加性是Tsallis熵的一个特征性质。Renyi利用Kolmogorov-Nagumo平均推广了Shannon熵，本文证明了Tsallis熵不存在利用Kolmogorov-Nagumo平均的推广，它保持了伪可加性。
英文摘要：
As additivity is a characteristic property of the classical information measure, Shannon entropy, pseudo-additivity is a characteristic property of Tsallis entropy. Renyi generalized Shannon entropy by means of Kolmogorov-Nagumo averages, by imposing additivity as a constraint.In this paper we show that there exists no generalization for Tsallis entropy, by means of Kolmogorov-Nagumo averages, which preserves the pseudo-additivity.
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