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Eigenvector Procedure based on Weighted Preference Flows in Multicriteria Outranking Analysis


  • Santha Chenayah

    (Faculty of Economics and Administration, University Malaya)

  • Eiji Takeda

    (Graduate School of Economics, Osaka University)


The outranking analysis has been frequently used to deal with the complex decisions involving qualitative criteria and imprecise data. So far, various versions of ELECTRE have been proposed for ranking alternatives in the outranking analysis. Among others, ELECTRE III has been widely used. A distillation procedure using a qualification index is proposed to rank alternatives from the valued outranking relation. A weakness of ELECTRE III, however, is to involve the arbitrariness in the selection of the discrimination threshold function for the distillation procedure. On the other hand, various variants of PROMETHEE are also proposed for the outranking analysis. PROMETHEE intends to be simple and easy to understand. A deficiency of PROMETHEE is that it does not take into account the preference intensity of alternatives in the in-preference flow and out-preference flow for each alternative. We propose a new preference ranking procedure based on eigenvector using the gweighted h in- and outpreference flows of each alternative in the outranking analysis. The basic idea of the procedure proposed here is that it should be better to outrank a gstrong h alternative than a gweak h one and, conversely, it is less serious to be outranked by a gstrong h alternative than by gweak h one in a PROMETHEE context. It has a completely different interpretation with the AHP (Analytic Hierarchy Process) since the components of the valued outranking relation matrix are neither ratios nor reciprocal as in the AHP.

Suggested Citation

  • Santha Chenayah & Eiji Takeda, 2005. "Eigenvector Procedure based on Weighted Preference Flows in Multicriteria Outranking Analysis," Discussion Papers in Economics and Business 05-22, Osaka University, Graduate School of Economics and Osaka School of International Public Policy (OSIPP).
  • Handle: RePEc:osk:wpaper:0522

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    References listed on IDEAS

    1. De Keyser, Wim & Peeters, Peter, 1996. "A note on the use of PROMETHEE multicriteria methods," European Journal of Operational Research, Elsevier, vol. 89(3), pages 457-461, March.
    2. Bertrand Mareschal & Jean Pierre Brans, 1992. "PROMETHEE V: MCDM problems with segmentation constraints," ULB Institutional Repository 2013/9341, ULB -- Universite Libre de Bruxelles.
    3. B. Roy & Ph. Vincke, 1984. "Relational Systems of Preference with One or More Pseudo-Criteria: Some New Concepts and Results," Management Science, INFORMS, vol. 30(11), pages 1323-1335, November.
    4. Brans, J. P. & Vincke, Ph. & Mareschal, B., 1986. "How to select and how to rank projects: The method," European Journal of Operational Research, Elsevier, vol. 24(2), pages 228-238, February.
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    More about this item


    Multiple criteria analysis; PROMETHEE; ELECTRE; Valued outranking relations;

    JEL classification:

    • C44 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Operations Research; Statistical Decision Theory
    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • C63 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computational Techniques

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