Overlap coefficient

The overlap coefficient is a similarity measure related to the Jaccard index that computes the overlap between two sets which is defined as follows:

$\mathrm{overlap}(X,Y) = \frac{| X \cap Y | }{\min(|X|,|Y|)}$

If set X is a subset of Y or the converse then the overlap coefficient is equal to one.

References

• Similarity Metrics, University of Sheffield, Department of Computer Science