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New results on interval comparison

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Date
2006
Dewey
Recherche opérationnelle
Sujet
intransitivity; interval representation; preference modelling
Conference country
FRANCE
Book title
DIMACS –LAMSADE Workshop on Voting Theory and Preference Modelling
Publisher
Université Paris-Dauphine
Publisher city
Paris
Year
2006
URI
https://basepub.dauphine.fr/handle/123456789/6959
Collections
  • LAMSADE : Publications
Metadata
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Author
Ozturk, Meltem
989 Laboratoire d'analyse et modélisation de systèmes pour l'aide à la décision [LAMSADE]
Tsoukiàs, Alexis
989 Laboratoire d'analyse et modélisation de systèmes pour l'aide à la décision [LAMSADE]
Type
Communication / Conférence
Item number of pages
356
Abstract (EN)
In this paper we propose a general framework for the interval comparison which finds different classes of preference structures having an interval representation. First of all we propose an axiomatisation for an interval representation and then we present some results which generalise the characterisation of some classical properties such as transitivity, Ferrers relation, etc. We make use of these results to find all the preference structures which satisfy our axioms and which may be represented with classical intervals (interval defined with two extreme points) and with 3-points intervals (intervals with an intermediate point).

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