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Extension of the MACBETH approach to elicit an ordered weighted average operator

Labreuche, Christophe; Mayag, Brice; Duqueroie, Bertrand (2015), Extension of the MACBETH approach to elicit an ordered weighted average operator, EURO Journal on Decision Processes, 3, 1, p. 65-105. 10.1007/s40070-015-0041-5

Type
Article accepté pour publication ou publié
Date
2015
Journal name
EURO Journal on Decision Processes
Volume
3
Number
1
Publisher
Springer
Pages
65-105
Publication identifier
Metadata
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Author(s)
Labreuche, Christophe

Mayag, Brice
Laboratoire d'analyse et modélisation de systèmes pour l'aide à la décision [LAMSADE]
Duqueroie, Bertrand
Abstract (EN)
In the context of multi-criteria decision making, we propose a new approach to construct an ordered weighted average (OWA) operator in a general case, a convex OWA operator and a trapezoidal OWA operator. Our methodology, based on an interactive decision process, extends the MACBETH methodology and takes as input some preferences on a specific set of alternatives called binary alternatives. For each operator studied, we analyze the inconsistencies which can occur when the preferences given by the decision maker are not representable by the corresponding OWA operator. We show also the impact of our approach on the decision process during the elicitation phase.
Subjects / Keywords
OWA operator; MACBETH approach; Preference elicitation; Decision process