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There are many binary similarity measures (e.g. Jaccard, Sorensen, etc), each of them is sensitive to different properties of the compared sets. I would like to use the metric $S=\frac{N_{A\bigcap B}}{min(N_{A}; N_{B})}$, where $N_{A}$ is the count of set $A$. So basically I divide the size of the intersection by the size of the smaller set. I am sure I am not the first who found this out, and maybe it has some pretty name. Does anybody know?

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Your measure seems to resolve to a distance defined by Simpson. See A Survey of Binary Similarity and Distance Measures page 44, equation 45.

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  • $\begingroup$ Thanks, this is exactly what I was looking for. Also this brief compendium is very nice, thanks for that too. $\endgroup$ – deeenes Jun 2 '15 at 16:40

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