Characterization of the Jaccard dissimilarity metric and a generalization

被引：0
|
作者：
Gerasimou, Georgios [1 ]
机构：
[1] Univ Glasgow, Glasgow, Scotland
来源：
DISCRETE APPLIED MATHEMATICS | 2024年 / 355卷
关键词：
Jaccard metric; Dissimilarity; Axioms; Characterization; Quasi-metric; TRIANGLE INEQUALITY; SIMILARITY; INDEX;
D O I：
10.1016/j.dam.2024.04.022
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The Jaccard dissimilarity metric identifies the distance between two finite sets by the number of their unique elements as a proportion of their joint cardinality. This note gives an elementary characterization of the Jaccard metric by means of three simple axioms. Relaxing the most substantial one allows for a general family of new dissimilarity quasi-metrics to emerge that encompasses Jaccard's metric. (c) 2024 The Author(s). Published by Elsevier B.V. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/).
引用
收藏
页码：57 / 61
页数：5
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