Necessary and Possible Interaction Between Criteria in a General Choquet Integral Model
Kaldjob Kaldjob, Paul Alain; Mayag, Brice; Bouyssou, Denis (2020), Necessary and Possible Interaction Between Criteria in a General Choquet Integral Model, Information Processing and Management of Uncertainty in Knowledge-Based Systems, 18th International Conference, IPMU 2020, 2020
TypeCommunication / Conférence
External document linkhttps://hal.archives-ouvertes.fr/hal-02877291
Conference titleInformation Processing and Management of Uncertainty in Knowledge-Based Systems, 18th International Conference, IPMU 2020
Book authorMarie-Jeanne Lesot, Susana Vieira, Marek Z. Reformat
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Abstract (EN)This paper deals with interaction between criteria in a general Choquet integral model. When the preference of the Decision Maker (DM) contains no indifference, we first give a necessary and sufficient condition for them to be representable by a Choquet integral model. Using this condition, we show that it is always possible to choose from the numerical representations, one relatively for which all the Shapley interaction indices are strictly positive. We illustrate our results with an example.
Subjects / KeywordsInteraction index; General Choquet integral model; Shapley interaction indices
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