General Topology, Partial Metrics, Similarity Metrics
Contributing USMA Research Unit(s)
Army Cyber Institute
In mathematics, and more specifically in topology, the notion of distance metric is well known since the nineteenth century. It is used to measure the "difference" between two objects. When it comes to characterizing the similarity between two objects, a similarity metric is needed. Although widely used in computer science, such a metric is not clearly defined mathematically. We fill in the existing gap in the current literature concerning similarity metrics, connecting them to the well-known notion of partial metrics in general topology.
Alhajjar, Elie and Lefèvre, Clément
"On The Similarity Metric,"
Mathematica Militaris: Vol. 24
, Article 4.
Available at: https://digitalcommons.usmalibrary.org/mathematica_militaris/vol24/iss1/4