Eigenvector Procedure based on Weighted Preference Flows in Multicriteria Outranking Analysis
AbstractThe 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 gweightedh 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 gstrongh alternative than a gweakh one and, conversely, it is less serious to be outranked by a gstrongh alternative than by gweakh 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.
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Bibliographic InfoPaper provided by Osaka University, Graduate School of Economics and Osaka School of International Public Policy (OSIPP) in its series Discussion Papers in Economics and Business with number 05-22.
Length: 14 pages
Date of creation: Aug 2005
Date of revision:
Multiple criteria analysis; PROMETHEE; ELECTRE; Valued outranking relations;
Find related papers by 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
This paper has been announced in the following NEP Reports:
- NEP-ALL-2005-08-13 (All new papers)
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- 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.
- Bertrand Mareschal & Jean Pierre Brans, 1992. "PROMETHEE V: MCDM problems with segmentation constraints," ULB Institutional Repository 2013/9341, ULB -- Universite Libre de Bruxelles.
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- 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.
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