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Behavioral analysis of aggregation in multicriteria decision aid
Marichal, Jean-Luc
2000In Fodor, Janos; De Baets, Bernard; Perny, Patrice (Eds.) Preferences and Decisions under Incomplete Knowledge
Peer reviewed
 

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Abstract :
[en] The most often used operator to aggregate criteria in decision making problems is the classical weighted arithmetic mean. In many problems however, the criteria considered interact, and a substitute to the weighted arithmetic mean has to be adopted. It was shown that, under rather natural conditions, the discrete Choquet integral is an adequate aggregation operator that extends the weighted arithmetic mean by the taking into consideration of the interaction among criteria. However, since this operator is constructed from coefficients (weights) whose meaning is not always very clear for the decision maker, it is useful to define from these coefficients some indices that offer a better understanding of the behavioral properties of the aggregation. We present and discuss the following indices: the global importance of criteria, the interaction among criteria, the influence of the criteria on the aggregation, the tolerance of the decision maker, and the dispersion of the weights on the criteria.
Disciplines :
Quantitative methods in economics & management
Mathematics
Identifiers :
UNILU:UL-CHAPTER-2010-158
Author, co-author :
Marichal, Jean-Luc ;  University of Liège, Belgium > Department of Management (FEGSS)
Language :
English
Title :
Behavioral analysis of aggregation in multicriteria decision aid
Publication date :
2000
Main work title :
Preferences and Decisions under Incomplete Knowledge
Editor :
Fodor, Janos
De Baets, Bernard
Perny, Patrice
Publisher :
Physica Verlag, Heidelberg, Unknown/unspecified
ISBN/EAN :
9783790813036
Collection name :
Studies in Fuzziness and Soft Computing Vol. 51
Pages :
153-178
Peer reviewed :
Peer reviewed
Funders :
University of Liège, Belgium
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since 26 September 2013

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