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Discriminating thresholds as a tool to cope with imperfect knowledge in multiple criteria decision aiding: Theoretical results and practical issues


  • Roy, B.
  • Figueira, J.R.
  • Almeida-Dias, J.


This paper deals with preference modeling. It concerns the concepts of discriminating thresholds as a tool to cope with the imperfect nature of knowledge in decision aiding. Such imperfect knowledge is related with the definition of each criterion as well as with the data we have to take into account. On the one hand, we shall present a useful theoretical synthesis for the analyst in his/her decision aiding activity, and, on the other hand, we shall provide some practical instructions concerning the approach to follow for assigning the values to these discriminating thresholds.

Suggested Citation

  • Roy, B. & Figueira, J.R. & Almeida-Dias, J., 2014. "Discriminating thresholds as a tool to cope with imperfect knowledge in multiple criteria decision aiding: Theoretical results and practical issues," Omega, Elsevier, vol. 43(C), pages 9-20.
  • Handle: RePEc:eee:jomega:v:43:y:2014:i:c:p:9-20
    DOI: 10.1016/

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    References listed on IDEAS

    1. Corrente, Salvatore & Greco, Salvatore & Słowiński, Roman, 2013. "Multiple Criteria Hierarchy Process with ELECTRE and PROMETHEE," Omega, Elsevier, vol. 41(5), pages 820-846.
    2. Hatami-Marbini, Adel & Tavana, Madjid, 2011. "An extension of the Electre I method for group decision-making under a fuzzy environment," Omega, Elsevier, vol. 39(4), pages 373-386, August.
    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. Figueira, José Rui & Roy, Bernard, 2009. "A note on the paper, "Ranking irregularities when evaluating alternatives by using some ELECTRE methods", by Wang and Triantaphyllou, Omega (2008)," Omega, Elsevier, vol. 37(3), pages 731-733, June.
    5. Levanon, Y & Passy, U, 1980. "The indifference band in multiple criteria decision problems," Omega, Elsevier, vol. 8(6), pages 647-654.
    6. Tavares, L. Valadares, 2012. "An acyclic outranking model to support group decision making within organizations," Omega, Elsevier, vol. 40(6), pages 782-790.
    7. Kadziński, MiŁosz & Greco, Salvatore & SŁowiński, Roman, 2012. "Extreme ranking analysis in robust ordinal regression," Omega, Elsevier, vol. 40(4), pages 488-501.
    8. Bollinger, Dominique & Pictet, Jacques, 2008. "Multiple criteria decision analysis of treatment and land-filling technologies for waste incineration residues," Omega, Elsevier, vol. 36(3), pages 418-428, June.
    9. Wang, Xiaoting & Triantaphyllou, Evangelos, 2008. "Ranking irregularities when evaluating alternatives by using some ELECTRE methods," Omega, Elsevier, vol. 36(1), pages 45-63, February.
    10. Roy, B. & Present, M. & Silhol, D., 1986. "A programming method for determining which Paris metro stations should be renovated," European Journal of Operational Research, Elsevier, vol. 24(2), pages 318-334, February.
    11. Roy, Bernard & Slowinski, Roman, 2008. "Handling effects of reinforced preference and counter-veto in credibility of outranking," European Journal of Operational Research, Elsevier, vol. 188(1), pages 185-190, July.
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    Cited by:

    1. Mavrotas, George & Figueira, José Rui & Siskos, Eleftherios, 2015. "Robustness analysis methodology for multi-objective combinatorial optimization problems and application to project selection," Omega, Elsevier, vol. 52(C), pages 142-155.
    2. Ahn, Byeong Seok & Park, Haechurl, 2014. "Establishing dominance between strategies with interval judgments of state probabilities," Omega, Elsevier, vol. 49(C), pages 53-59.
    3. Popiolek, Nathalie & Thais, Françoise, 2016. "Multi-criteria analysis of innovation policies in favour of solar mobility in France by 2030," Energy Policy, Elsevier, vol. 97(C), pages 202-219.
    4. repec:eee:jomega:v:76:y:2018:i:c:p:100-111 is not listed on IDEAS
    5. repec:eee:ejores:v:270:y:2018:i:1:p:352-361 is not listed on IDEAS
    6. Daniel Vanderpooten & Lakmali Weerasena & Margaret M. Wiecek, 2017. "Covers and approximations in multiobjective optimization," Journal of Global Optimization, Springer, vol. 67(3), pages 601-619, March.
    7. repec:eee:juipol:v:51:y:2018:i:c:p:73-81 is not listed on IDEAS
    8. Bottero, M. & Ferretti, V. & Figueira, J.R. & Greco, S. & Roy, B., 2015. "Dealing with a multiple criteria environmental problem with interaction effects between criteria through an extension of the Electre III method," European Journal of Operational Research, Elsevier, vol. 245(3), pages 837-850.
    9. repec:eee:ejores:v:264:y:2018:i:2:p:453-461 is not listed on IDEAS


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