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Multiple criteria sorting and maximal antichains
Bouyssou, Denis; Marchant, Thierry; Pirlot, Marc
2022DA2PL 2022 From multiple criteria Decision Aid to Preference Learning
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Keywords :
multiple criteria decision analysis, multiple criteria sorting, maximal antichains
Abstract :
[en] We analyze the expressivity difference between a very general multiple criteria sorting model and its dual version. The analysis amounts to assess the share of maximal antichains in the set of all antichains of a product of linear orders.
Research center :
CRTI - Centre de Recherche en Technologie de l'Information
Disciplines :
Computer science
Mathematics
Author, co-author :
Bouyssou, Denis;  CNRS - Centre National de la Recherche Scientifique [FR] > Lamsade, Université Paris-Dauphine
Marchant, Thierry;  UGent - Ghent University [BE] > Faculty of Psychology and Educational Sciences > Department of Data Analysis
Pirlot, Marc  ;  Université de Mons - UMONS > Faculté Polytechnique > Service de Mathématique et Recherche opérationnelle
Language :
English
Title :
Multiple criteria sorting and maximal antichains
Publication date :
17 November 2022
Event name :
DA2PL 2022 From multiple criteria Decision Aid to Preference Learning
Event organizer :
Université de Technologie de Compiègne
Event place :
Compiègne, France
Event date :
17-18 novembre 2022
Audience :
International
Peer reviewed :
Peer reviewed
Source :
Research unit :
F151 - Mathématique et Recherche opérationnelle
Research institute :
Infortech
Available on ORBi UMONS :
since 16 January 2023

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