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Article Dans Une Revue International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems Année : 2022

On the robustness of the sign of nonadditivity index in a Choquet integral model

Résumé

In the context of Multiple Criteria Decision Making, this paper studies the robustness of the sign of nonadditivity index for subset of criteria in a Choquet integral model. In the case where the set of alternatives is discrete, the use of the nonadditivity index proposed in the literature often leads to interpretations which are not always robust. Indeed, the sign of this nonadditivity index can depend on the arbitrary choice of a numerical representation in the set of all numerical representations compatible with the ordinal preferential information given by the Decision Maker. We characterize the ordinal preferential information for which the problem appears. We also propose a linear program allowing to test the non robustness of the sign of nonadditivity index for subset of criteria.
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Dates et versions

hal-03904424 , version 1 (16-12-2022)

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  • HAL Id : hal-03904424 , version 1

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Paul Alain Kaldjob Kaldjob, Brice Mayag, Denis Bouyssou. On the robustness of the sign of nonadditivity index in a Choquet integral model. International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, inPress. ⟨hal-03904424⟩
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