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On a sorting procedure in the presence of qualitative interacting points of view
Marichal, Jean-Luc; Roubens, Marc
2001In Klement, Erich Peter; Roubens, Marc (Eds.) Proc. 22nd Linz Seminar on Fuzzy Set Theory (LINZ 2001): Valued Relations and Capacities in Decision Theory
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Keywords :
multi-attribute decision-making; ordinal data; interacting points of view; Choquet integral
Abstract :
[en] We present a sorting procedure for the assignment of alternatives to graded classes. The available information is given by partial evaluations of the alternatives on ordinal scales representing interacting points of view and a subset of prototypic alternatives whose assignment is imposed beforehand. The partial evaluations of each alternative are embedded in a common interval scale by means of commensurateness mappings, which in turn are aggregated by the discrete Choquet integral. The behavioral properties of this Choquet integral are then measured through importance and interaction indices.
Disciplines :
Quantitative methods in economics & management
Mathematics
Author, co-author :
Marichal, Jean-Luc ;  University of Liège, Belgium > Institute of Mathematics
Roubens, Marc;  University of Liège, Belgium > Institute of Mathematics
Language :
English
Title :
On a sorting procedure in the presence of qualitative interacting points of view
Publication date :
February 2001
Event name :
22nd Linz Seminar on Fuzzy Set Theory (LINZ 2001)
Event place :
Linz, Austria
Event date :
from 06-02-2001 to 10-02-2001
Audience :
International
Main work title :
Proc. 22nd Linz Seminar on Fuzzy Set Theory (LINZ 2001): Valued Relations and Capacities in Decision Theory
Editor :
Klement, Erich Peter
Roubens, Marc
Publisher :
Universitätsdirektion, Johannes Kepler Universität, Linz, Austria
Pages :
64-75
Peer reviewed :
Peer reviewed
Available on ORBilu :
since 29 September 2013

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