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A theoretical look at ELECTRE TRI-nB

Bouyssou, Denis; Marchant, Thierry; Pirlot, Marc (2020), A theoretical look at ELECTRE TRI-nB. https://basepub.dauphine.fr/handle/123456789/21097

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Type
Document de travail / Working paper
External document link
https://hal.archives-ouvertes.fr/hal-02917994
Date
2020
Series title
Preprint Lamsade
Published in
Paris
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Author(s)
Bouyssou, Denis cc
Laboratoire d'analyse et modélisation de systèmes pour l'aide à la décision [LAMSADE]
Marchant, Thierry
UNIVERSITE DE GENT BEL
Pirlot, Marc
Faculté polytechnique de Mons
Abstract (EN)
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.
Subjects / Keywords
Multiple criteria analysis; Sorting models; ELECTRE TRI