ARGYRIS, N., MORTON, A. and FIGUEIRA, J., 2014. CUT: a multicriteria approach for concavifiable preferences. Operations Research, DOI: 10.1287/opre.2014.1274.
We consider the problem of helping a decision maker (DM) choose from a set of multiattributed objects when her preferences are "concavifiable," i.e. representable by a concave value function. We establish conditions under which preferences or preference intensities are concavifiable. We also derive a characterization for the family of concave value functions compatible with a set of such preference statements expressed by the DM. This can be used to validate dominance relations over discrete sets of alternatives and forms the basis of an interactive procedure. We report on the practical use of this procedure with several DMs for a flat-choice problem and its computational performance on a set of project-portfolio selection problem instances. The use of preference intensities is found to provide significant improvements to the performance of the procedure.
This work benefited from partial support by the RAMS grant
of the Council of Rectors of Portuguese Universities and the British
Council, and COST-Action research grant on Algorithmic Decision
Theory [Grant IC0602].