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A valued Ferrers relation for interval comparison

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Date
2015
Dewey
Recherche opérationnelle
Sujet
Decision making; Preference modeling; Valued binary relation; Interval comparison; Interval orders; Ferrer relation
Journal issue
Fuzzy Sets and Systems
Volume
266
Number
5
Publication date
2015
Article pages
47-66
Publisher
Elsevier
DOI
http://dx.doi.org/10.1016/j.fss.2014.09.004
URI
https://basepub.dauphine.fr/handle/123456789/15574
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
Article accepté pour publication ou publié
Abstract (EN)
The paper deals with the valued comparison of intervals for decision making. Interval orders are classical preference structures where the comparison of intervals is done in an ordinal way. In this paper we focus on valued comparison where more information, especially the distance between end-points of intervals, is used in order to have more sophisticated preference structures. The generalization of an interval order as a valued structure requires the choice of de Morgan triplets. We propose a valued outranking relation for interval comparison and show that it satisfies different definitions of valued interval orders using different de Morgan triplet. The decomposition of our outranking relation into preference and indifference provides a valued preference structure where the preference is T-transitive and monotone.

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