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k-intolerant capacities and Choquet integrals
Marichal, Jean-Luc
2004In Proc. 10th Int. Conf. on Information Processing and Management of Uncertainty in Knowledge-Based Systems (IPMU 2004), Perugia, Italy, July 4-9, 2004
Peer reviewed
 

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Keywords :
multi-criteria analysis; interacting criteria; capacities; Choquet integral
Abstract :
[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.
Disciplines :
Mathematics
Quantitative methods in economics & management
Author, co-author :
Marichal, Jean-Luc ;  University of Luxembourg > Faculty of Law, Economics and Finance > Applied Mathematics Unit (SMA)
Language :
English
Title :
k-intolerant capacities and Choquet integrals
Publication date :
July 2004
Event name :
10th Int. Conf. on Information Processing and Management of Uncertainty in Knowledge-Based Systems (IPMU 2004)
Event place :
Perugia, Italy
Event date :
from 04-07-2004 to 09-07-2004
Audience :
International
Main work title :
Proc. 10th Int. Conf. on Information Processing and Management of Uncertainty in Knowledge-Based Systems (IPMU 2004), Perugia, Italy, July 4-9, 2004
Pages :
601-608
Peer reviewed :
Peer reviewed
Name of the research project :
F2R-SMA-PUL-03AADC > Aide à la décision / classification > 01/01/2003 – 31/12/2004 > BISDORFF Raymond
Funders :
University of Luxembourg - UL
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