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DAGSTUHL
2008

Interactive Multiobjective Optimization Using a Set of Additive Value Functions

9 years 7 months ago
Interactive Multiobjective Optimization Using a Set of Additive Value Functions
Abstract. In this chapter, we present a new interactive procedure for multiobjective optimization, which is based on the use of a set of value functions as a preference model built by an ordinal regression method. The procedure is composed of two alternating stages. In the first stage, a representative sample of solutions from the Pareto optimal set (or from its approximation) is generated. In the second stage, the Decision Maker (DM) is asked to make pairwise comparisons of some solutions from the generated sample. Besides pairwise comparisons, the DM may compare selected pairs from the viewpoint of the intensity of preference, both comprehensively and with respect to a single criterion. This preference information is used to build a preference model composed of all general additive value functions compatible with the obtained information. The set of compatible value functions is then applied on the whole Pareto optimal set, which results in possible and necessary rankings of Pareto o...
José Rui Figueira, Salvatore Greco, Vincent
Added 29 Oct 2010
Updated 29 Oct 2010
Type Conference
Year 2008
Where DAGSTUHL
Authors José Rui Figueira, Salvatore Greco, Vincent Mousseau, Roman Slowinski
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