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/10993/7271
k-intolerant capacities and Choquet integrals
English
Marichal, Jean-Luc mailto [University of Luxembourg > Faculty of Law, Economics and Finance > Applied Mathematics Unit (SMA)]
Feb-2004
Proc. 25th Linz Seminar on Fuzzy Set Theory (LINZ 2004): Mathematics of Fuzzy Systems
Klement, Erich Peter
Pap, Endre
Universitätsdirektion, Johannes Kepler Universität
123-129
Yes
No
International
Linz
Austria
25th Linz Seminar on Fuzzy Set Theory (LINZ 2004)
from 03-02-2004 to 07-02-2004
Linz
Austria
[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.
University of Luxembourg - UL
Researchers ; Professionals ; Students
http://hdl.handle.net/10993/7271
http://www.flll.jku.at/div/research/linz2004/index.html
http://www.flll.jku.at/div/research/linz2004/LINZ2004Abstracts.pdf

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