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Hierarchical clustering with OWA-based linkages, the Lance-Williams formula, and dendrogram inversions
Agglomerative hierarchical clustering based on Ordered Weighted Averaging (OWA) operators not only generalises the single, complete, and average linkages, but also includes intercluster distances based on a few nearest or farthest neighbours, trimmed and winsorised means of pairwise point similarities, amongst many others.
Weakly monotone averaging functions
Monotonicity with respect to all arguments is fundamental to the definition of aggregation functions.
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