English

Valuations and Metrics on Partially Ordered Sets

Combinatorics 2009-03-17 v1 Information Theory math.IT

Abstract

We extend the definitions of upper and lower valuations on partially ordered sets, and consider the metrics they induce, in particular the metrics available (or not) based on the logarithms of such valuations. Motivating applications in computational linguistics and computational biology are indicated.

Keywords

Cite

@article{arxiv.0903.2679,
  title  = {Valuations and Metrics on Partially Ordered Sets},
  author = {Chris Orum and Cliff A Joslyn},
  journal= {arXiv preprint arXiv:0903.2679},
  year   = {2009}
}

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Submitted

R2 v1 2026-06-21T12:40:53.099Z