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The system of common lower neighbours of a hierarchy. (English) Zbl 0733.92030

Classification and related methods of data analysis, Proc. 1st Conf. IFCS, Aachen/FRG 1987, 165-172 (1988).
Summary: [For the entire collection see Zbl 0732.00020.]
Each hierarchy can be characterized by its system of common lower neighbours. This corresponds to a special interpretation of a hierarchy as a system of separated sets in contrast to the usual interpretation of a hierarchy as a set of clusters.
We give three applications of this alternative interpretation: first a reformulation and two extensions of the betweenness-axiom for consensus hierarchies, second a remarkable improvement of the Average-Linkage- method and third a suggestion of a new interesting class of hierarchical cluster methods.

MSC:

91C20 Clustering in the social and behavioral sciences

Citations:

Zbl 0732.00020