 Necessary and possible interaction between criteria in a 2-additive Choquet integral modelBrice Mayag and Denis Bouyssou European Journal of Operational Research, 2020, vol. 283, issue 1, 308-320 Abstract: 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. Keywords: Multiple criteria decision analysis; Choquet integral; 2-additive Capacity; Interaction (search for similar items in EconPapers) Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:eee:ejores:v:283:y:2020:i:1:p:308-320 DOI: 10.1016/j.ejor.2019.10.036 Access Statistics for this article European Journal of Operational Research is currently edited by Roman Slowinski, Jesus Artalejo, Jean-Charles. Billaut, Robert Dyson and Lorenzo Peccati More articles in European Journal of Operational Research from Elsevier |
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