Reference : On a sorting procedure in the presence of qualitative interacting points of view

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/10993/7272

On a sorting procedure in the presence of qualitative interacting points of view

English

Marichal, Jean-Luc[University of Liège, Belgium > Institute of Mathematics]

Roubens, Marc[University of Liège, Belgium > Institute of Mathematics]

Feb-2001

Proc. 22nd Linz Seminar on Fuzzy Set Theory (LINZ 2001): Valued Relations and Capacities in Decision Theory

Klement, Erich Peter

Roubens, Marc

Universitätsdirektion, Johannes Kepler Universität

64-75

Yes

No

International

Linz

Austria

22nd Linz Seminar on Fuzzy Set Theory (LINZ 2001)

from 06-02-2001 to 10-02-2001

Linz

Austria

[en] multi-attribute decision-making ; ordinal data ; interacting points of view ; Choquet integral

[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.