Closure systems, implicational systems, overhanging relations and the case of hierarchical classification

DOI10.1016/j.mathsocsci.2003.09.008zbMath1059.93007OpenAlexW2061629481MaRDI QIDQ1887547

Florent Domenach, Bruno Leclerc

Publication date: 22 November 2004

Published in: Mathematical Social Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mathsocsci.2003.09.008

zbMATH Keywords

implicationMoore familieshiearchyclosure mappingoverhanging relations

Mathematics Subject Classification ID

Hierarchical systems (93A13) Knowledge representation (68T30) Galois correspondences, closure operators (in relation to ordered sets) (06A15)

Related Items (4)

The structure of the overhanging relations associated with some types of closure systems ⋮ The presence of lattice theory in discrete problems of mathematical social sciences. Why. ⋮ On critical sets of a finite Moore family ⋮ Hyper-relations, choice functions, and orderings of opportunity sets

Cites Work

• Subdirect decomposition of concept lattices
• N-trees as nestings: Complexity, similarity, and consensus
• The poset of closures as a model of changing databases
• Weak hierarchies associated with similarity measures - An additive clustering technique
• Preserving consensus hierarchies
• NP-hard approximation problems in overlapping clustering.
• The lattices of closure systems, closure operators, and implicational systems on a finite set: A survey
• Tree structures for proximity data
• Path Independence, Rationality, and Social Choice
• Biclosed binary relations and Galois connections
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