Reference : k-intolerant capacities and Choquet integrals
Scientific congresses, symposiums and conference proceedings : Paper published in a book
Physical, chemical, mathematical & earth Sciences : Mathematics
Business & economic sciences : Quantitative methods in economics & management
http://hdl.handle.net/10993/7273
k-intolerant capacities and Choquet integrals
English
Marichal, Jean-Luc mailto [University of Luxembourg > Faculty of Law, Economics and Finance > Applied Mathematics Unit (SMA)]
2005
Advances in Multicriteria Decision Aid - Progrès en Aide Multicritère à la Décision (ENST Bretagne, 2005)
Barthélemy, Jean-Pierre
Lenca, Philippe
ENST Bretagne
48-64
Yes
No
International
2-9523875-0-8
Brest
France
59th Meeting of the Eur. Working Group "Multiple Criteria Decision Aiding" (MCDA 59)
from 29-04-2004 to 30-04-2004
ENST Bretagne, Brest
France
[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
Researchers ; Professionals ; Students
http://hdl.handle.net/10993/7273

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