  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. We explore the relationships between the
famous Lance-Williams update formula and the extended OWA-based linkages with
weights generated via infinite coefficient sequences. Furthermore, we provide
some conditions for the weight generators to guarantee the resulting
dendrograms to be free from unaesthetic inversions.
