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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, in Marie-Jeanne Lesot, Susana Vieira, Marek Z. Reformat, Information Processing and Management of Uncertainty in Knowledge-Based Systems, 18th International Conference, IPMU 2020, Springer, p. 457-466. 10.1007/978-3-030-50143-3_36

Type
Communication / Conférence
External document link
https://hal.archives-ouvertes.fr/hal-02877291
Date
2020
Conference title
Information Processing and Management of Uncertainty in Knowledge-Based Systems, 18th International Conference, IPMU 2020
Conference date
2020
Book title
Information Processing and Management of Uncertainty in Knowledge-Based Systems, 18th International Conference, IPMU 2020
Book author
Marie-Jeanne Lesot, Susana Vieira, Marek Z. Reformat
Publisher
Springer
ISBN
978-3-030-50143-3
Pages
457-466
Publication identifier
Metadata
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Author(s)
Kaldjob Kaldjob, Paul Alain
Mayag, Brice
Bouyssou, Denis
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 / Keywords
Interaction index; General Choquet integral model; Shapley interaction indices