A theoretical look at ELECTRE TRI-nB

Denis Bouyssou (1) , Thierry Marchant (2) , Marc Pirlot (3)

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

ELECTRE TRI is a set of methods designed to sort alternatives evaluated on several attributes into ordered categories. The original ELEC-TRE TRI-B method uses one limiting profile per category. A more recent method, ELECTRE TRI-nB, allows one to use several limiting profiles for each category. We investigate the properties of ELECTRE TRI-nB. When the number of limiting profiles used to define each category is not restricted, ELECTRE TRI-nB is easy to characterize axiomatically and is found to be equivalent to several other methods proposed in the literature. We extend this result in various directions.

Ce texte propose une analyse axiomatique de la méthode ELECTRE TRI-nB visant à affecter des objets évalués sur plusieurs critères dans des catégories ordonnées. Cette analyse axiomatique permet de la positionner vis-àvis d'autre méthodes du même type.

Mots clés: Decision with multiple attributes; Sorting models; ELECTRE TRI-B; ELECTRE TRI-nB; Multiple criteria analysis; ELECTRE TRI

Domaines: Recherche opérationnelle [math.OC]; Economies et finances; Psychologie

Denis Bouyssou, Thierry Marchant, Marc Pirlot. A theoretical look at ELECTRE TRI-nB. 2020. ⟨hal-02898131v2⟩