INDIRECT ELICITATION OF THE PARAMETERS OF ELECTRE II METHOD UNDER PARTIAL INFORMATION
Keywords:
modelling, mixed integer linear programming, indirect elicitation, weights, concordance thresholds.DOI:
https://doi.org/10.17654/2277141723001Abstract
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
B. Roy and P. Bertier, La method ELECTRE II (SEMA-METRA Metra International, Paris, 1971.
B. Roy and P. Bertier, La method ELECTRE II - Une application au media planning, Proc. OR’ 72, North-Holland, Amsterdam, 1973, pp. 291-302.
J. R. Figueira, V. Mousseau and B. Roy, ELECTRE Methods, in Multiple Criteria Decision Analysis: State of the Art Surveys, eds. S. Greco, M. Ehrgott and J. Figueira, International Series in Operations Research and Management Science, Vol. 233, Springer, New York, 2016, pp. 155-185.
https://doi.org/10.1007/978-1-4939-3094-4_5.
V. Mousseau and R. Slowinski, Inferring an ELECTRE TRI model from assignment examples, Journal of Global Optimization 12(2) (1998), 157-174.
https://doi.org/10.1023/A:1008210427517.
J. A. Sala and R. P. Hämäläinen, Handbook of Multicriteria Analysis, Preference Programming - Multicriteria Weighting Models under Incomplete Information, C. Zopounidis and P. M. Pardalos, eds., Applied Optimization, Vol. 103, Springer-Verlag, Berlin, Heidelberg, 2010, pp. 167-187.
https://doi.org/10.1007/978-3- 540-92828-7_5.
L. C. Dias and V. Mousseau, Eliciting multi-criteria preferences: ELECTRE models, elicitation: the science and art of structuring judgement, L. C. Dias, A. Morton and J. Quigley, eds., International Series in Operations Research and Management Science, Vol. 261, Springer International Publishing, 2018, pp. 349-375. https://doi.org/10.1007/978-3-319-65052-4_14.
J. Zheng, S. A. Metchebon Takougang, V. Mousseau and M. Pirlot, Learning criteria weights of an optimistic Electre Tri sorting rule, Computers and Operations Research 49 (2014), 28-40. https://doi.org/10.1016/j.cor.2014.03.012.
J. Simos, Evaluer l’impact sur l’environnement: Une approche originale par l’analyse multicritère et la négociation, Presses Polytechniques et Universitaires Romandes, Lausanne, 1993.
B. Roy and J. Figueira, Determining the weights of criteria in the ELECTRE type methods with a revised Simos’ procedure, European Journal of Operational Research 139(2) (2002), 317-326.
https://doi.org/10.1016/S0377-2217(01)00370-8.
L. Maystre, J. Pictet and J. Simos, Méthodes multicritères ELECTRE. Description, conseils pratiques et cas d’application a la gestion environnementale, Presses Polytechniques et Universitaires Romandes, collection Gérer l’environnement, Lausanne, 1994.
H. P. Williams, Model Building in Mathematical Programming, 5th ed., John Wiley & Sons, England, 2013.
K. Eikland and P. Notebaert, lpsolve: Mixed Integer Linear Programming (MILP) solver, sourceforge, 2016. http://lpsolve.sourceforge.net/5.5/.
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