To be symmetric or asymmetric? A dilemna in decision making

Abstract : The paper addresses the problem of dealing with real numbers for scores or utilities in decision making, that is, with numbers being positive or negative. The use of non-additive models, as the Choquet integral, entails the possibility of having (at least) two choices when defining the Choquet integral for real-valued integrand, which can be named, after Denneberg, symmetric or asymmetric. The problem is examined in the frameworks of multicriteria decision making and decision under risk and uncertainty.
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Michel Grabisch, Christophe Labreuche. To be symmetric or asymmetric? A dilemna in decision making. Preferences and Decisions under Incomplete Knowledge, 51, Physica Verlag, pp.179-194, 2000, Studies in Fuzziness and Soft Computing, ⟨10.1007/978-3-7908-1848-2_10⟩. ⟨hal-01573479⟩



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