Axiomatic characterizations of dissimilarity orderings and distances between sets

Fuente: arXiv
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Auteurs principaux: Marchant, Thierry, Sarkar, Sandip
Format: Preprint
Publié: 2025
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author Marchant, Thierry
Sarkar, Sandip
author_facet Marchant, Thierry
Sarkar, Sandip
contents We characterize the orderings of pairs of sets induced by several distances: Hamming, Jaccard, Sørensen-Dice and Overlap. We also characterize these distances.
format Preprint
id arxiv_https___arxiv_org_abs_2507_05919
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Axiomatic characterizations of dissimilarity orderings and distances between sets
Marchant, Thierry
Sarkar, Sandip
Discrete Mathematics
We characterize the orderings of pairs of sets induced by several distances: Hamming, Jaccard, Sørensen-Dice and Overlap. We also characterize these distances.
title Axiomatic characterizations of dissimilarity orderings and distances between sets
topic Discrete Mathematics
url https://arxiv.org/abs/2507.05919