How to select and how to rank projects: The PROMETHEE method. (English) Zbl 0576.90056

Brans, J. P.; Vincke, Ph.; Mareschal, B.

Eur. J. Oper. Res. 24, 228-238 (1986).

Summary: We present the PROMETHEE methods, a new class of outranking methods in multicriteria analysis. Their main features are simplicity, clearness and stability. The notion of generalized criterion is used to construct a valued outranking relation. All the parameters to be defined have an economic signification, so that the decision maker can easily fix them. Two ways of treatment are proposed: It is possible to obtain either a partial preorder (PROMETHEE I) or a complete one (PROMETHEE II), both on a finite set of feasible actions. A comparison is made with the ELECTRE III method. The stability of the results given by the two methods is analysed. Numerical applications are given in order to illustrate the properties of the new methods and some further problems are discussed.

MSC:

90B50

Management decision making, including multiple objectives

Keywords:

PROMETHEE; outranking methods; multicriteria analysis

Software:

ELECTRE

References:

[1]	Brans, J.-P., L’ingénierie de la décision. L’élaboration d’instruments d’aide à la décision (1982), University Laval: University Laval Quebec
[2]	Brans, J.-P.; Vincke, Ph., Extension de la notion de critère et relation de surclassement valué, Cahiers du C.E.R.O., 24, 2 (1982) · Zbl 0493.90080
[3]	Roy, B., Classement et choix en présence de points de vue multiples (La méthode Electre), Revue française d’Informatique et de Recherche Opérationnelle, 6, 8 (1968)
[4]	Roy, B.; Bertier, P., La méthode Electre II, Report no. 142 (1971), Sema, Paris
[5]	Roy, B.; Brans, J.-P.; Vincke, Ph., Aide à la décision multicritère, Revue Belge de Statistique, d’Informatique et de Recherche Opérationnelle, 15, 4 (1975)
[6]	Roy, B., Electre III: Un algorithme de classement fondé sur une représentation floue des préférences en présence de critères multiples, Cahiers du C.E.R.O., 20, 1 (1978) · Zbl 0377.90003
[7]	Roy, B.; Vincke, Ph., Multicriteria analysis: Survey and new tendencies, European Journal of Operational Research, 8, 3, 207-218 (1981) · Zbl 0464.90068
[8]	Roy, B.; Hugonnard, J.-C., Classement des prolongements de lignes de métro en banlieue parisienne — Un cas type d’application de l’analyse multicritère, Cahiers Scientifiques de la Revue Transport, 6 (1981)