Axiomatic characterizations of dissimilarity orderings and distances between sets
Discrete Mathematics
2025-07-09 v1
Abstract
We characterize the orderings of pairs of sets induced by several distances: Hamming, Jaccard, S\o rensen-Dice and Overlap. We also characterize these distances.
Keywords
Cite
@article{arxiv.2507.05919,
title = {Axiomatic characterizations of dissimilarity orderings and distances between sets},
author = {Thierry Marchant and Sandip Sarkar},
journal= {arXiv preprint arXiv:2507.05919},
year = {2025}
}