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A note on ELECTRE TRI-nB with few limiting profiles

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Date
2020
Publisher city
Paris
Collection title
Preprint Lamsade
Link to item file
https://hal.archives-ouvertes.fr/hal-02917998
Dewey
Recherche opérationnelle
Sujet
Multiple criteria analysis; Sorting models; ELECTRE TRI
URI
https://basepub.dauphine.fr/handle/123456789/21100
Collections
  • LAMSADE : Publications
Metadata
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Author
Bouyssou, Denis
989 Laboratoire d'analyse et modélisation de systèmes pour l'aide à la décision [LAMSADE]
Marchant, Thierry
Pirlot, Marc
Type
Document de travail / Working paper
Abstract (EN)
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.

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