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

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...

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Detalles Bibliográficos
Autores principales: Kaldjob Kaldjob, Paul Alain, Mayag, Brice, Bouyssou, Denis
Formato: Online Artículo Texto
Lenguaje:English
Publicado: 2020
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7274721/
http://dx.doi.org/10.1007/978-3-030-50143-3_36
Descripción
Sumario: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.

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