The Choquet integral for the aggregation of interval scales in multicriteria decision making
This paper addresses the question of which models fit with information concerning the preferences of the decision maker over each attribute, and his preferences about aggregation of criteria (interacting criteria). We show that the conditions induced by these information plus some intuitive conditions lead to a unique possible aggregation operator: the Choquet integral.
|Date of creation:||2003|
|Date of revision:|
|Publication status:||Published in Fuzzy Sets and Systems, Elsevier, 2003, 137 (1), pp.11-26|
|Note:||View the original document on HAL open archive server: https://hal.archives-ouvertes.fr/hal-00272090|
|Contact details of provider:|| Web page: https://hal.archives-ouvertes.fr/|
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- Grabisch, Michel & Labreuche, Christophe & Vansnick, Jean-Claude, 2003.
"On the extension of pseudo-Boolean functions for the aggregation of interacting criteria,"
European Journal of Operational Research,
Elsevier, vol. 148(1), pages 28-47, July.
- Michel Grabisch & Christophe Labreuche & Jean-Claude Vansnick, 2003. "On the Extension of Pseudo-Boolean Functions for the Aggregation of Interacting Criteria," Post-Print hal-00272780, HAL.
- Agnès Rico & Michel Grabisch & Christophe Labreuche & Alain Chateauneuf, 2005. "Preference modelling on totally ordered sets by the Sugeno integral," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) hal-00268984, HAL.
- Grabisch, Michel, 1996. "The application of fuzzy integrals in multicriteria decision making," European Journal of Operational Research, Elsevier, vol. 89(3), pages 445-456, March.
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