The use of the discrete Sugeno integral in decision-making: a survey

Didier Dubois (1) , Jean-Luc Marichal (2) , Henri Prade (1) , Marc Roubens (2) , Régis Sabbadin (3)

1 IRIT-ADRIA - Argumentation, Décision, Raisonnement, Incertitude et Apprentissage
2 Université de Liège
3 MIAT INRAE - Unité de Mathématiques et Informatique Appliquées de Toulouse

An overview of the use of the discrete Sugeno integral as either an aggregation tool or a utility function is presented in the qualitative framework of two decision paradigms: multi-criteria decision-making and decision-making under uncertainty. The parallelism between the representation theorems in both settings is stressed, even if a basic requirement like idempotency should be explicitely stated in multi-criteria decision-making, while its counterpart is implicit in decision under uncertainty by equating the utility of a constant act with the utility of its consequence. Important particular cases of Sugeno integrals such as prioritized minimum and maximum operators, their ordered versions, and Boolean max-min functiosn are studied.

Mots clés: decision-making under uncertainty; multi-criteria decision-making; aggregation procedures; Sugeno integral

Domaines: Intelligence artificielle [cs.AI]

Didier Dubois, Jean-Luc Marichal, Henri Prade, Marc Roubens, Régis Sabbadin. The use of the discrete Sugeno integral in decision-making: a survey. Colorni, A.; Paruccini, M.; Roy, B. A-MCD-A - Aide Multi Critère à la Décision (Multiple Criteria Decision Aiding), European Commission Joint Research Centre, pp.81-98, 2001, 978-9289409940. ⟨hal-03394650⟩