Ordinal multiattribute sorting and ordering in the presence of interacting points of view. (English) Zbl 1059.90513
Bouyssou, Denis (ed.) et al., Aiding decisions with multiple criteria. Essays in honor of Bernard Roy. Boston, MA: Kluwer Academic Publishers (ISBN 0-7923-7611-0/hbk). International Series in Operations Research & Management Science 44, 229-246 (2002).
Summary: In this paper, we use the Choquet integral as a general tool for dealing with ordinal multiattribute sorting and ordering problems in the presence of interacting points of view. The technique that is used proceeds in two steps: a pre-scoring phase determines for each point of view and for each alternative a net score (number of times a given alternative beats all the other alternatives minus the number of times that this alternative is beaten by the others) and is followed by an aggregation phase that produces a global net score associated to each alternative.
The assessment of a capacity linked to the Choquet integral is obtained by the solution of a constraint satisfaction problem deriving from a reference set of alternatives (prototypes) that have been previously ordered or sorted. We give examples of application comparing this approach with a rule based methodology.
For the entire collection see [Zbl 1048.90002].
The assessment of a capacity linked to the Choquet integral is obtained by the solution of a constraint satisfaction problem deriving from a reference set of alternatives (prototypes) that have been previously ordered or sorted. We give examples of application comparing this approach with a rule based methodology.
For the entire collection see [Zbl 1048.90002].
MSC:
| 90B50 | Management decision making, including multiple objectives |
