Bi-semiorders with frontiers on finite sets

Denis Bouyssou (1) , Thierry Marchant (2)

1 LAMSADE - Laboratoire d'analyse et modélisation de systèmes pour l'aide à la décision
2 Department of Data Analysis

This paper studies an extension of bi-semiorders in which a “frontier” is added between the various relations used. This extension is motivated by the study of additive representations of ordered partitions and coverings defined on product sets of two components.

Mots clés: Bi-semiorder; Conjoint measurement; Biorder; Interval order; Semiorder; Frontier

Domaines: Informatique [cs]

Denis Bouyssou, Thierry Marchant. Bi-semiorders with frontiers on finite sets. Journal of Mathematical Psychology, 2015, 66, pp.6-15. ⟨10.1016/j.jmp.2015.03.002⟩. ⟨hal-01616212⟩