=Paper=
{{Paper
|id=None
|storemode=property
|title=None
|pdfUrl=https://ceur-ws.org/Vol-959/invited7.pdf
|volume=Vol-959
}}
==None==
<pdf width="1500px">https://ceur-ws.org/Vol-959/invited7.pdf</pdf>
<pre>
Metrics, Betweeness Relations, and Entropies on
           Lattices and Applications

                                     Dan Simovici

   Department of Computer Science, University of Massachusetts at Boston, USA

Abstract. We discuss an algebraic axiomatization of the notion of entropy in the
framework of lattices as well as characterizations of metric structures induced by such
entropies. The proposed new framework takes advantage of the partial orders defined
on lattices, in particular the semimodular lattice of partitions of a finite set to allow
multiple applications in data mining: data discretization, recommendation systems,
classification, and feature selection.

</pre>