Conservative median algebras

Miguel Couceiro (1, 2) , Jean-Luc Marichal (3) , Bruno Teheux (4)

1 LAMSADE - Laboratoire d'analyse et modélisation de systèmes pour l'aide à la décision
2 ORPAILLEUR - Knowledge representation, reasonning
3 SMA - Service de Mathématiques Appliquées
4 Mathematics Research Unit

We characterize conservative median semilattices by means of forbidden substructures and by providing their representation as chains. Moreover, using a duality between these algebras and certain topological structures, we obtain descriptions of the median-preserving mappings between products of finitely many chains.

Domaines: Mathématiques [math]

Miguel Couceiro, Jean-Luc Marichal, Bruno Teheux. Conservative median algebras. 2014. ⟨hal-01090614⟩