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Erschienen in:
2009 | OriginalPaper | Buchkapitel
Capacity Refinements and Their Application to Qualitative Decision Evaluation
verfasst von : Didier Dubois, Hélène Fargier
Erschienen in: Symbolic and Quantitative Approaches to Reasoning with Uncertainty
Verlag: Springer Berlin Heidelberg
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This paper deals with the lack of discrimination of aggregation operations in decision-evaluation methods, typically in multi-factorial evaluation, and in decision under uncertainty. When the importance of groups of criteria is modeled by a monotonic but non-additive set-function, strict monotonicity of evaluations with respect to Pareto-dominance is no longer ensured. One way out of this problem is to refine this set-function. Two refinement techniques are presented, extending known refinements of possibility and necessity measures, respectively based on so-called discrimax and leximax orderings. Capacities then become representable by means of belief functions, plausibility functions or both. In particular it yields a natural technique for refining a Sugeno integral by means of a Choquet integral.