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A review of methods for capacity identification in Choquet integral based multi-attribute utility theory: Applications of the Kappalab R package
Authors:Michel Grabisch  Ivan Kojadinovic  Patrick Meyer
Institution:1. Université de Paris I, LIP6, 8 Rue du Capitaine Scott, 75015 Paris, France;2. LINA CNRS FRE 2729, École Polytechnique de l’Université de Nantes, Rue Christian Pauc, 44306 Nantes, France;3. Applied Mathematics Unit, University of Luxembourg, 162A, avenue de la Faïencerie, L-1511 Luxembourg, Luxembourg
Abstract:The application of multi-attribute utility theory whose aggregation process is based on the Choquet integral requires the prior identification of a capacity. The main approaches to capacity identification proposed in the literature are reviewed and their advantages and inconveniences are discussed. All the reviewed methods have been implemented within the Kappalab R package. Their application is illustrated on a detailed example.
Keywords:Multi-criteria decision aiding  Multi-attribute utility theory  Choquet integral  Free software
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