Conservative Median Algebras and Semilattices

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

• Type: Journal
• Year: 2016
• Where: ORDER
• Authors: Miguel Couceiro, Jean-Luc Marichal, Bruno Teheux
• Keywords: Operations Research, ORDER 2016