Paper published in a book (Scientific congresses, symposiums and conference proceedings)
k-intolerant capacities and Choquet integrals
Marichal, Jean-Luc
2005 • In Barthélemy, Jean-Pierre; Lenca, Philippe (Eds.) Advances in Multicriteria Decision Aid - Progrès en Aide Multicritère à la Décision (ENST Bretagne, 2005)
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 and we apply them on a particular recruiting problem.
Disciplines :
Quantitative methods in economics & management Mathematics
Identifiers :
UNILU:UL-CHAPTER-2010-164
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 :
2005
Event name :
59th Meeting of the Eur. Working Group "Multiple Criteria Decision Aiding" (MCDA 59)
Event place :
ENST Bretagne, Brest, France
Event date :
from 29-04-2004 to 30-04-2004
Audience :
International
Main work title :
Advances in Multicriteria Decision Aid - Progrès en Aide Multicritère à la Décision (ENST Bretagne, 2005)
Editor :
Barthélemy, Jean-Pierre
Lenca, Philippe
Publisher :
ENST Bretagne, Brest, France
ISBN/EAN :
2-9523875-0-8
Pages :
48-64
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