Preference elicitation for a ranking method based on multiple reference profiles

Alexandru-Liviu Olteanu, Khaled Belahcene, Vincent Mousseau (), Wassila Ouerdane, Antoine Rolland and Jun Zheng
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Alexandru-Liviu Olteanu: Université de Bretagne Sud
Khaled Belahcene: Université de Technologie de Compiègne
Vincent Mousseau: Université Paris-Saclay
Wassila Ouerdane: Université Paris-Saclay
Antoine Rolland: Université de Lyon 2
Jun Zheng: Université Paris-Saclay

4OR, 2022, vol. 20, issue 1, No 3, 63-84

Abstract: Abstract Multiple criteria decision aid methodologies support decision makers (DM) facing decisions involving conflicting objectives. DM’s preferences should be captured to provide meaningful recommendations. Preference elicitation aims at incorporating DM’s preferences in decision models. We propose a new preference elicitation tool for a ranking model based on reference points (RMP—Ranking with Multiple Profiles). Our methodology infers an RMP model from a list of pairwise comparisons provided by the DM. The inference algorithm makes use of a Mixed Integer mathematical programming formulation. We prove the applicability by performing extensive numerical experiments on datasets whose size corresponds to real-world problem.

Keywords: Multi-criteria decision aiding; Preference elicitation; Ranking problem; Reference profiles; 90B50; 90C11; 90C29; 91B08 (search for similar items in EconPapers)
Date: 2022
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Citations: View citations in EconPapers (2)

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DOI: 10.1007/s10288-020-00468-5

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