Reference : Tolerant or intolerant character of interacting criteria in aggregation by the Choque...
Scientific journals : Article
Physical, chemical, mathematical & earth Sciences : Mathematics
Business & economic sciences : Quantitative methods in economics & management
http://hdl.handle.net/10993/1215
Tolerant or intolerant character of interacting criteria in aggregation by the Choquet integral
English
Marichal, Jean-Luc mailto [University of Luxembourg > Faculty of Law, Economics and Finance (FDEF) > Applied Mathematics Unit (SMA)]
16-Jun-2004
European Journal of Operational Research
Elsevier Science
155
3
Traffic and Transportation Systems Analysis
771-791
Yes (verified by ORBilu)
International
0377-2217
Amsterdam
The Netherlands
[en] multi-criteria analysis ; interacting criteria ; fuzzy measure ; Choquet integral
[en] In many multi-criteria decision-making problems the decision criteria present some interaction whose nature may vary from one situation to another. For example, some criteria may be statistically correlated, thus making them somewhat redundant or opposed. Some others may be somewhat substitutive or complementary depending on the behavior of the decision maker. Some others may be decisive in the sense that the global score (of any alternative) obtained by aggregation is bounded by the partial score along one of them. In this paper we analyze this latter form of interaction. When a criterion bounds the global score from above, it is called a blocker or a veto, due to its rather intolerant character. When it bounds the global score from below, it is then called a pusher or a favor. We thus investigate the tolerance of criteria, or equivalently, the tolerance of the weighted aggregation operator (here the Choquet integral) that is used to aggregate criteria. More specifically, we propose (axiomatically) indices to appraise the extent to which each criterion behaves like a veto or a favor in the aggregation by the Choquet integral. Previous to this, we also propose global tolerance degrees measuring the extent to which the Choquet integral is conjunctive or disjunctive.
Applied Mathematics Unit (FDEF)
University of Luxembourg - UL
Researchers ; Professionals ; Students
http://hdl.handle.net/10993/1215
10.1016/S0377-2217(02)00885-8

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