Which index suitable for comparing DBSCAN algorithm and its family ?

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Emre Güngör

For evaluation using Purity,NMI, RI, F-Measure;

https://nlp.stanford.edu/IR-book/html/htmledition/evaluation-of-clustering-1.html

If you don't need to write code for your comparison, you can also use cluster analysis software programs available on web, to quickly determine difference between known clustering methods.

Soumaya Louhichi

For the evaluation of density based clustering algorithms such DBSCAN, you can use cluster indices based on density like S_dbw and CDbw .