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Communication Dans Un Congrès Année : 2009

Capacity Refinements and Their Application to Qualitative Decision Evaluation

Résumé

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.

Dates et versions

hal-03434435 , version 1 (18-11-2021)

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Citer

Didier Dubois, Hélène Fargier. Capacity Refinements and Their Application to Qualitative Decision Evaluation. 10th European Conference on Symbolic and Quantitative Approaches to Reasoning with Uncertainty (ECSQARU 2009), Jul 2009, Verona, Italy. pp.311-322, ⟨10.1007/978-3-642-02906-6_28⟩. ⟨hal-03434435⟩
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