期刊名称：Documents de Travail du Centre d'Economie de la Sorbonne
印刷版ISSN：1955-611X
出版年度：2018
出版社：Centre d'Economie de la Sorbonne
摘要：In many Multi-Criteria Decision problems, one can construct with the decisionmaker several reference levels on the attributes such that some decision strategiesare conditional on the comparison with these reference levels. The classicalmodels (such as the Choquet integral) cannot represent these preferences. Weare then interested in two models. The rst one is the Choquet with respectto a p-ary capacity combined with utility functions, where the p-ary capacityis obtained from the reference levels. The second one is a specialization ofthe Generalized-Additive Independence (GAI) model, which is discretized to twith the presence of reference levels. These two models share common properties(monotonicity, continuity, properly weighted, ), but di er on the interpolationmeans (Lovasz extension for the Choquet integral, and multi-linear extensionfor the GAI model). A drawback of the use of the Choquet integral with respectto a p-ary capacity is that it cannot satisfy decision strategies in each domainbounded by two successive reference levels that are completely independent ofone another. We show that this is not the case with the GAI model.
