On a special class of median algebras

Miguel Couceiro (1) , Gerasimos C. Meletiou (2)

1 ORPAILLEUR - Knowledge representation, reasonning
2 TEI - Technological Educational Institute of Epirus

In this short note we consider a class of median algebras, called (1, 2 : 3)-semilattices, that is pertaining to cluster analysis. Such median algebras arise from a natural generalization of conservativeness, and their description is given in terms of forbidden substructures.

Domaines: Mathématiques [math]

Miguel Couceiro, Gerasimos C. Meletiou. On a special class of median algebras. Miskolc Mathematical Notes, 2017, 18 (1), pp.167-171. ⟨10.18514/MMN.2017.1799⟩. ⟨hal-01248142⟩