Reference : k-intolerant capacities and Choquet integrals
Scientific journals : Article
Physical, chemical, mathematical & earth Sciences : Mathematics
Business & economic sciences : Quantitative methods in economics & management
http://hdl.handle.net/10993/1801
k-intolerant capacities and Choquet integrals
English
Marichal, Jean-Luc mailto [University of Luxembourg > Faculty of Law, Economics and Finance (FDEF) > Applied Mathematics Unit (SMA)]
16-Mar-2007
European Journal of Operational Research
Elsevier Science
177
3
1453-1468
Yes (verified by ORBilu)
International
0377-2217
Amsterdam
The Netherlands
[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.
Applied Mathematics Unit (FDEF)
University of Luxembourg
Researchers ; Professionals ; Students
http://hdl.handle.net/10993/1801
10.1016/j.ejor.2005.04.015

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