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Metric-entropy pairs on lattices

Research output: Contribution to journalArticlepeer-review

Abstract

We introduce the notion of ∧- and ∨-pairs of functions on lattices as an abstraction of the notions of metric and its related entropy for probability distributions. This approach allows us to highlight the relationships that exist between various properties of metrics and entropies and opens the possibility of extending these concepts to other algebraic structures.

Original languageEnglish
Pages (from-to)1767-1778
Number of pages12
JournalJournal of Universal Computer Science
Volume13
Issue number11
StatePublished - 2007

ASJC Scopus Subject Areas

  • Theoretical Computer Science
  • General Computer Science

Keywords

  • Entropy
  • Metric
  • Modular lattice

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