Other than FWER which is too stringent, there is FDR.
\[FDR=\frac{V}{V+S}=\frac{V}{R}\]
The False Discovery Proportion (FDP) can be used as a threshold: \[FDP = \frac{V}{R}\] \[FDR=E(FDP)=E(\frac{V}{R})\] —