Universal Journal of Mathematics and Mathematical Sciences

The Universal Journal of Mathematics and Mathematical Sciences promotes the publication of articles in interdisciplinary fields such as finance, bioinformatics, and engineering, as well as core topics in mathematics. It encourages innovative ideas for teaching mathematics and statistics.

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INDIRECT ELICITATION OF THE PARAMETERS OF ELECTRE II METHOD UNDER PARTIAL INFORMATION

Authors

  • Stéphane Aimé Metchebon Takougang
  • Denis Koala

Keywords:

modelling, mixed integer linear programming, indirect elicitation, weights, concordance thresholds.

DOI:

https://doi.org/10.17654/2277141723001

Abstract

Multiple criteria ranking methods deal with the problem of ranking alternatives from the best option to the worst. The ELECTRE II method computes pairwise comparisons between alternatives based on the construction of an embedded outranking relations sequence and yields ranking alternatives from the best to the worst. ELECTRE II method is used to set parameters (weights, thresholds). When the values of these parameters are determined directly, the decision-maker is then much solicited in this exercise which can be tedious for him. In this work, we propose an indirect elicitation model of the parameters of the ELECTRE II method. This model is based on the formulation of a mixed integer linear programming enriched by ranking examples obtained from the decision-maker. We show the effectiveness of our model by applying it to an example of illustrative case study.

Received: October 9, 2022;
Accepted: November 28, 2022;

References

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Published

2022-12-30

Issue

Section

Articles

How to Cite

INDIRECT ELICITATION OF THE PARAMETERS OF ELECTRE II METHOD UNDER PARTIAL INFORMATION. (2022). Universal Journal of Mathematics and Mathematical Sciences, 18(1), 1-16. https://doi.org/10.17654/2277141723001

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