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Necessary and possible interaction between criteria in a 2-additive Choquet integral model

Mayag, Brice; Bouyssou, Denis (2020), Necessary and possible interaction between criteria in a 2-additive Choquet integral model, European Journal of Operational Research, 283, 1, p. 308-320. 10.1016/j.ejor.2019.10.036

Type
Article accepté pour publication ou publié
Date
2020
Journal name
European Journal of Operational Research
Volume
283
Number
1
Publisher
Elsevier
Pages
308-320
Publication identifier
10.1016/j.ejor.2019.10.036
Metadata
Show full item record
Author(s)
Mayag, Brice
Laboratoire d'analyse et modélisation de systèmes pour l'aide à la décision [LAMSADE]
Bouyssou, Denis cc
Laboratoire d'analyse et modélisation de systèmes pour l'aide à la décision [LAMSADE]
Abstract (EN)
This paper deals with the interpretation of the 2-additive Choquet integral model in the context of Multiple Criteria Decision Making. When the set of alternatives is discrete, using classical interaction indices proposed in the literature may lead to interpretations that are not robust. Indeed, the sign of these indices may depend upon the arbitrary choice of a numerical representation within the set of all possible numerical representations. We tackle this problem in two ways. First, in the context of binary alternatives, we characterize the preference relations for which the problem does not occur. Outside the framework of binary alternatives, we propose a simple linear programming model allowing one to test for robust conclusions concerning the sign of interaction indices. We illustrate our results on a real world example in the domain of health.
Subjects / Keywords
Multiple criteria decision analysis; Choquet integral; 2-additive Capacity; Interaction

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