Abstract
We address the problem of outliers detection in a binary outranking relation. These elements are supposed to be rare, dissimilar to the majority of other elements and are likely to influence the outcomes of the considered method. We propose a model based on the distance introduced by De Smet and Montano and extend it to different samplings of the set of alternatives (which are used as a comparison basis). This leads to study the distribution of distance values. The presence of outliers is detected by the identification of bi-modal distributions. We illustrate this on examples based on the Human Development Index, the Environmental Performance Index (where artificial outliers are added) and the Shanghai Ranking of World Universities.
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References
Behzadian, M., Kazemzadh, R.B., Albadvi, A., Aghdasi, D.: PROMETHEE: a comprehensive literature review on methodologies and applications. Eur. J. Oper. Res. 200(1), 198–215 (2010)
Brans, J.P., De Smet, Y.: Promethee methods. In: Figueira, J., Greco, S., Egrgott, M. (eds.) Multiple Criteria Decision Analysis: State of the Art Surveys, 2nd edn, pp. 187–220. Springer, Boston (2016)
De Smet, Y., Eppe, S.: Multicriteria relational clustering: the case of binary outranking matrices. In: Ehrgott, M., Fonseca, C.M., Gandibleux, X., Hao, J.-K., Sevaux, M. (eds.) EMO 2009. LNCS, vol. 5467, pp. 380–392. Springer, Heidelberg (2009). doi:10.1007/978-3-642-01020-0_31
De Smet, Y., Montano Guzman, L.: Towards multicriteria clustering: an extension of the k-means algorithm. Eur. J. Oper. Res. 158(2), 390–398 (2004)
Doan, N.A.V., Milojevic, D., Robert, F., De Smet, Y.: A MOO-based methodology for designing 3D-stacked integrated circuits. J. Multi-Criteria Decis. Anal. 21(1–2), 43–63 (2013)
Dyer, J.S.: MAUT multiattribute utility theory. In: Figueira, J., Greco, S., Egrgott, M. (eds.) Multiple Criteria Decision Analysis: State of the Art Surveys, pp. 265–292. Springer, Boston (2005)
Figueira, J., Mousseau, V., Roy, B.: ELECTRE methods. In: Figueira, J., Greco, S., Ergott, M. (eds.) Multiple Criteria Decision Analysis: State of the Art Surveys, pp. 133–162. Springer, Boston (2005)
Hites, R., De Smet, Y., Risse, N., Salazar-Neumann, M., Vincke, P.: About the applicability of MCDA to some robustness problems. Eur. J. Oper. Res. 174(1), 322–332 (2006)
Rosseeuw, P.J., Leroy, A.L.: Robust Regression and Outlier Detection. Wiley Series in Probability and Mathematical Statistics. Wiley, Hoboken (1987)
Sarrazin, R., De Smet, Y.: Design safer and greener road projects by using a multi-objective optimization evolutionary approach. Int. J. Multicriteria Decis. Mak. 61, 14–33 (2016)
Vincke, P.: Multicriteria Decision-Aid. Wiley, New York (1992)
Zopounidis, C., Doumpos, M.: Multiple Criteria Decision Making: Applications in Management and Engineering. Springer, Heidelberg (2017, to appear)
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De Smet, Y., Hubinont, JP., Rosenfeld, J. (2017). A Note on the Detection of Outliers in a Binary Outranking Relation. In: Trautmann, H., et al. Evolutionary Multi-Criterion Optimization. EMO 2017. Lecture Notes in Computer Science(), vol 10173. Springer, Cham. https://doi.org/10.1007/978-3-319-54157-0_11
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DOI: https://doi.org/10.1007/978-3-319-54157-0_11
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