Metrics, Betweeness Relations, and Entropies on Lattices and Applications

The Eighth International Conference on Concept Lattices and Their Applications

计算机科学

Dan Simovici

Others  :  http://ceur-ws.org/Vol-959/invited7.pdf
PID  :  29259

学科分类：计算机科学（综合）

来源: CEUR

【 摘 要 】

We discuss an algebraic axiomatization of the notion of entropy in theframework of lattices as well as characterizations of metric structures induced by such entropies. The proposed new framework takes advantage of the partial orders dened on lattices, in particular the semimodular lattice of partitions of a nite set to allow