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A valued Ferrers relation for interval comparison

Ozturk, Meltem; Tsoukiàs, Alexis (2015), A valued Ferrers relation for interval comparison, Fuzzy Sets and Systems, 266, 5, p. 47-66. 10.1016/j.fss.2014.09.004

Type
Article accepté pour publication ou publié
Date
2015
Journal name
Fuzzy Sets and Systems
Volume
266
Number
5
Publisher
Elsevier
Pages
47-66
Publication identifier
10.1016/j.fss.2014.09.004
Metadata
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Author(s)
Ozturk, Meltem
Laboratoire d'analyse et modélisation de systèmes pour l'aide à la décision [LAMSADE]
Tsoukiàs, Alexis cc
Laboratoire d'analyse et modélisation de systèmes pour l'aide à la décision [LAMSADE]
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.
Subjects / Keywords
Decision making; Preference modeling; Valued binary relation; Interval comparison; Interval orders; Ferrer relation

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