On the most concise set of axioms and the uniqueness theorem for Tsallis entropy
On the most concise set of axioms and the uniqueness theorem for Tsallis entropy
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关于最简明公理集和 Tsallis 熵的唯一性定理
DOI：
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发表时间：
2002
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通讯作者：
H. Suyari
中科院分区：
文献类型：
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作者：
H. Suyari
我们提出了一套最简洁的公理Tsallis熵，并严格证明了唯一性定理。这组公理仅由两个不同的可加性组成：伪可加性和香农可加性。然后，我们比较我们的公理与桑托斯提出的公理。本文还讨论了伪可加性作为Tsallis熵公理的特殊性。
We present the most concise set of axioms for Tsallis entropy, and rigorously prove the uniqueness theorem. This set of axioms consists of only two distinct additivities: pseudoadditivity and Shannon additivity. We then compare our axioms with the axioms presented by Santos. The peculiarity of pseudoadditivity as an axiom for Tsallis entropy is also discussed.