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Promethee Methods

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Multiple Criteria Decision Analysis: State of the Art Surveys

Part of the book series: International Series in Operations Research & Management Science ((ISOR,volume 78))

Abstract

This paper gives an overview of the PROMETHEE-GAIA methodology for MCDA. It starts with general comments on multicriteria problems, stressing that a multicriteria problem cannot be treated without additional information related to the preferences and the priorities of the decision-makers. The information requested by PROMETHEE and GAIA is particularly clear and easy to define for both decision-makers and analysts. It consists in a preference function associated to each criterion as well as weights describing their relative importance. The PROMETHEE I, the PROMETHEE II complete ranking, as well as the GAIA visual interactive module are then described and commented. The two next sections are devoted to the PROMETHEE VI sensitivity analysis procedure (human brain) and to the PROMETHEE V procedure for multiple selection of alternatives under constraints. An overview of the PROMETHEE GDSS procedure for group decision making is then given. Finally the DECISION LAB software implementation of the PROMETHEE-GAIA methodology is described using a numerical example.

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Authors and Affiliations

  1. Centrum voor Statistiek en Operationeel Onderzoek, Vrije Universiteit Brussel, Pleinlaan 2, B-1050, Brussels, Belgium

    Jean-Pierre Brans

  2. Service de Mathématiques de la Gestion, Université Libre de Bruxelles, Boulevard du Triomphe CP 210-01, B-1050, Brussels, Belgium

    Bertrand Mareschal

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Brans, JP., Mareschal, B. (2005). Promethee Methods. In: Multiple Criteria Decision Analysis: State of the Art Surveys. International Series in Operations Research & Management Science, vol 78. Springer, New York, NY. https://doi.org/10.1007/0-387-23081-5_5

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