格中的间隔性、度量和熵

38th International Symposium on Multiple Valued Logic (ismvl 2008) Pub Date : 2008-05-22 DOI:10.1109/ISMVL.2008.21

D. Simovici

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引用次数: 12

摘要

利用在度量空间上可自然定义的三元间关系，研究了格上与格所定义的偏序相容的一类度量。研究了定义在格上的类熵函数与度量之间的关系，揭示了熵的各种性质与度量性质之间存在的联系。研究了在有限集分区格上定义的度量的应用。

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Betweenness, Metrics and Entropies in Lattices

We investigate a class of metrics on lattices that are compatible with the partial order defined by the lattice using the ternary relation of betweenness that can be naturally defined on a metric space. The relationships between entropy-like functions and metrics defined on lattices are studied and we show the links that exists between various properties of entropies and properties of metrics. Applications to metrics defined on the lattice of partitions of finite sets are examined.

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38th International Symposium on Multiple Valued Logic (ismvl 2008)

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