Reference : Aggregation of interacting criteria by means of the discrete Choquet integral
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Aggregation of interacting criteria by means of the discrete Choquet integral
Marichal, Jean-Luc mailto [Brigham Young University, Utah (USA) > Department of Mathematics]
Aggregation operators: new trends and applications
Calvo, Tomasa
Mayor, Gaspar
Mesiar, Radko
Studies in Fuzziness and Soft Computing Vol. 97
[en] multicriteria decision making ; interacting criteria ; Choquet integral
[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. Under rather natural conditions, the discrete Choquet integral is proved to be an adequate aggregation operator that extends the weighted arithmetic mean by the taking into consideration of the interaction among criteria. The axiomatic that supports the Choquet integral is presented and some subfamilies are studied.
Brigham Young University, Utah (USA)
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