A note on ELECTRE TRI-nB with few limiting profiles

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 UGENT - Universiteit Gent = Ghent University
3 Faculté polytechnique de Mons

ELECTRE TRI-nB is a method designed to sort alternatives evaluated on several attributes among ordered categories. It is an extension of ELEC-TRE TRI-B that uses several limiting profiles, instead of one, to delimit each category. In a companion paper we have characterized the partitions that can be obtained with ELECTRE TRI-nB, using a simple axiom called linearity. The simplicity of this characterization crucially depends on the possibility to use as many limiting profiles as we like to delimit a category. This is not completely realistic and there is a need to study models in which the number of limiting profiles delimiting each category is restricted. This note starts such a study. We investigate the case of ELECTRE TRI-nB models based on unanimity and using no more than two limiting profiles per category. Our results show that the constraints on the number of limiting profiles make the problem difficult.

Mots clés: Multiple criteria analysis; Sorting models; ELECTRE TRI

Domaines: Economies et finances

Denis Bouyssou, Thierry Marchant, Marc Pirlot. A note on ELECTRE TRI-nB with few limiting profiles. 4OR: A Quarterly Journal of Operations Research, 2021, 20 (3), pp.443-463. ⟨10.1007/s10288-021-00485-y⟩. ⟨hal-03904403v4⟩