Reference : k-intolerant capacities and Choquet integrals
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k-intolerant capacities and Choquet integrals
Marichal, Jean-Luc mailto [University of Luxembourg > Faculty of Law, Economics and Finance > Applied Mathematics Unit (SMA)]
Advances in Multicriteria Decision Aid - Progrès en Aide Multicritère à la Décision (ENST Bretagne, 2005)
Barthélemy, Jean-Pierre
Lenca, Philippe
ENST Bretagne
59th Meeting of the Eur. Working Group "Multiple Criteria Decision Aiding" (MCDA 59)
from 29-04-2004 to 30-04-2004
ENST Bretagne, Brest
[en] multi-criteria analysis ; interacting criteria ; capacities ; Choquet integral
[en] We define an aggregation function to be (at most) k-intolerant if it is bounded from above by its kth lowest input value. Applying this definition to the discrete Choquet integral and its underlying capacity, we introduce the concept of k-intolerant capacities which, when varying k from 1 to n, cover all the possible capacities on n objects. Just as the concepts of k-additive capacities and p-symmetric capacities have been previously introduced essentially to overcome the problem of computational complexity of capacities, k-intolerant capacities are proposed here for the same purpose but also for dealing with intolerant or tolerant behaviors of aggregation. We also introduce axiomatically indices to appraise the extent to which a given capacity is k-intolerant and we apply them on a particular recruiting problem.
University of Luxembourg - UL
F2R-SMA-PUL-03AADC > Aide à la décision / classification > 01/01/2003 – 31/12/2004 > BISDORFF Raymond
Researchers ; Professionals ; Students

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