Circular Representations of a Valued Preference Matrix

Authors:
Karim Lidouh;Yves Smet;Minh Tuan Huynh
Affiliations:
Department of Computer and Decision Engineering, Université Libre de Bruxelles, Brussels, Belgium;Department of Computer and Decision Engineering, Université Libre de Bruxelles, Brussels, Belgium;Department of Computer and Decision Engineering, Université Libre de Bruxelles, Brussels, Belgium
Venue:
ADT '09 Proceedings of the 1st International Conference on Algorithmic Decision Theory
Year:
2009

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Abstract

In this paper we propose a model for the graphical representation of valued preference matrices. These are obtained from multicriteria outranking methods such as for instance ELECTRE or PROMETHEE. As a consequence, they are often known to be non-symmetric, making two-dimensional representations seldom possible. An optimization model is defined and a particle swarm optimization algorithm is used to solve it. Validation is based on artificial tests. Finally, an illustrative example is given.