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7

ISMVL
2008
IEEE

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Betweenness, Metrics and Entropies in Lattices

13 years 11 months ago

Betweenness, Metrics and Entropies in Lattices

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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.

Dan A. Simovici

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Artificial Intelligence | ISMVL 2008 | Metric Space | Partial Order | Ternary Relation |

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Added	31 May 2010
Updated	31 May 2010
Type	Conference
Year	2008
Where	ISMVL
Authors	Dan A. Simovici

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