有界格上的熵

D. Simovici
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引用次数: 1

摘要

我们在任意格上引入熵的概念,并研究了它的几个性质。对于满足一定正则性条件的梯度格上的熵,得到了熵的显式形式。本文还探讨了在格上定义的熵和度量之间的关系。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Entropies on Bounded Lattices
We introduce the notion of entropy on arbitrary lattices and we study several of its properties. Explicit forms for entropy are obtained for entropies on graded lattices that satisfy certain regularity conditions. The relationships between entropies and metrics defined on lattices are also explored.
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