Set systems and dissimilarities

DOI10.1006/eujc.1999.0379zbMath0957.05103OpenAlexW2094882460MaRDI QIDQ1582480

Patrice Bertrand

Publication date: 12 March 2001

Published in: European Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/eujc.1999.0379

zbMATH Keywords

classificationset systemsdissimilaritiesclustering structureslinked subset

Mathematics Subject Classification ID

Clustering in the social and behavioral sciences (91C20) Extremal set theory (05D05)

Related Items (15)

Pyramids and weak hierarchies in the ordinal model for clustering ⋮ The \(k\)-weak hierarchical representations: An extension of the indexed closed weak hierarchies ⋮ Binary set systems and totally balanced hypergraphs ⋮ Distributivity of a segmentation lattice ⋮ Functorial hierarchical clustering with overlaps ⋮ Unified approach to graphs and metric spaces ⋮ Systems of sets such that each set properly intersects at most one other set -- application to cluster analysis ⋮ Binary clustering ⋮ Combinatorial optimisation and hierarchical classifications ⋮ From hypertrees to arboreal quasi-ultrametrics ⋮ Representation of graphs by means of generalized metrics ⋮ Totally balanced dissimilarities ⋮ Removal independent consensus methods for closed \(\beta \)-systems of sets ⋮ Weak Hierarchies: A Central Clustering Structure ⋮ The conceptual weak hierarchy associated with a dissimilarity measure

Cites Work

• Weak hierarchies associated with similarity measures - An additive clustering technique
• An order theoretic framework for overlapping clustering
• Hierarchical clustering schemes
• Les isomorphismes HTS et HTE. (The HTS and HTE isomorphisms)
• An Order Theoretic Model for Cluster Analysis
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