Necessary and Possible Interaction Between Criteria in a General Choquet Integral Model

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Date
2020
Link to item file
https://hal.archives-ouvertes.fr/hal-02877291
Dewey
Programmation, logiciels, organisation des données
Sujet
Interaction index; General Choquet integral model; Shapley interaction indices
DOI
http://dx.doi.org/10.1007/978-3-030-50143-3_36
Conference name
18th International Conference, IPMU 2020
Conference date
06-2020
Conference city
Lisbon
Conference country
Portugal
Book title
Information Processing and Management of Uncertainty in Knowledge-Based Systems
Author
Lesot, Marie-Jeanne; Vieira, Susana; Reformat, Marek Z.
Publisher
Springer
Pages number
807
ISBN
978-3-030-50143-3
Book URL
10.1007/978-3-030-50143-3
URI
https://basepub.dauphine.fr/handle/123456789/21094
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Author
Kaldjob Kaldjob, Paul Alain
Mayag, Brice
989 Laboratoire d'analyse et modélisation de systèmes pour l'aide à la décision [LAMSADE]
Bouyssou, Denis
989 Laboratoire d'analyse et modélisation de systèmes pour l'aide à la décision [LAMSADE]
Type
Communication / Conférence
Item number of pages
457-466
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.