Relative clustering validity criteria: A comparative overview

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A Comparative Study of Efficient Initialization Methods for the K-Means Clustering Algorithm (2012, methodology): “The value of this parameter can be determined automatically by means of various cluster validity measures [17].”
Density‐based clustering (2019, background): “While there are many indexes or quality measures for the internal evaluation of clustering results (see, e.g., the work of Vendramin, Campello, and Hruschka (2010) for an overview and comparison), most of them are in general not suitable for the evaluation of density-based clustering, as they…”
Density-Based Clustering Validation (2014, methodology): “The evaluation of a relative validity index is usually performed as follows [30, 3]: (i) several partitions are generated with different clustering algorithms; (ii) for each clustering algorithm the ability of the new measure to identify the correct number of clusters, as defined by the ground…”