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To be symmetric or asymmetric? A dilemna in decision making

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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.

Dates and versions

hal-01573479 , version 1 (09-08-2017)

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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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