Simple Measures of Individual Cluster-Membership Certainty for Hard Partitional Clustering

@article{Liu2018SimpleMO,
  title={Simple Measures of Individual Cluster-Membership Certainty for Hard Partitional Clustering},
  author={Dongmeng Liu and Jinko Graham},
  journal={The American Statistician},
  year={2018},
  volume={73},
  pages={70 - 79}
}
ABSTRACT We propose two probability-like measures of individual cluster-membership certainty that can be applied to a hard partition of the sample such as that obtained from the partitioning around medoids (PAM) algorithm, hierarchical clustering or k-means clustering. One measure extends the individual silhouette widths and the other is obtained directly from the pairwise dissimilarities in the sample. Unlike the classic silhouette, however, the measures behave like probabilities and can be… 
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