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A multiple criteria sorting method where each category is characterized by several reference actions: The Electre Tri-nC method


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  • Almeida-Dias, J.
  • Figueira, J.R.
  • Roy, B.
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    This paper presents Electre Tri-nC, a new sorting method which takes into account several reference actions for characterizing each category. This new method gives a particular freedom to the decision maker in the co-construction decision aiding process with the analyst to characterize the set of categories, while there is no constraint for introducing only one reference action as typical of each category like in Electre Tri-C (Almeida-Dias et al., 2010). As in such a sorting method, this new sorting method is composed of two joint rules. Electre Tri-nC also fulfills a certain number of natural requirements. Additional results on the behavior of the new method are also provided in this paper, namely the ones with respect to the addition or removal of the reference actions used for characterizing a certain category. A numerical example illustrates the manner in which Electre Tri-nC can be used by a decision maker. A comparison with some related sorting procedures is presented and it allows to conclude that the new method is appropriate to deal with sorting problems.

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    Bibliographic Info

    Article provided by Elsevier in its journal European Journal of Operational Research.

    Volume (Year): 217 (2012)
    Issue (Month): 3 ()
    Pages: 567-579

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    Handle: RePEc:eee:ejores:v:217:y:2012:i:3:p:567-579

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    Keywords: Multiple criteria decision aiding; Constructive approach; Sorting; Electre Tri-nC; Decision support;


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    1. Fernandez, Eduardo & Navarro, Jorge & Bernal, Sergio, 2009. "Multicriteria sorting using a valued indifference relation under a preference disaggregation paradigm," European Journal of Operational Research, Elsevier, Elsevier, vol. 198(2), pages 602-609, October.
    2. Greco, Salvatore & Mousseau, Vincent & Slowinski, Roman, 2010. "Multiple criteria sorting with a set of additive value functions," European Journal of Operational Research, Elsevier, Elsevier, vol. 207(3), pages 1455-1470, December.
    3. Blaszczynski, Jerzy & Greco, Salvatore & Slowinski, Roman, 2007. "Multi-criteria classification - A new scheme for application of dominance-based decision rules," European Journal of Operational Research, Elsevier, Elsevier, vol. 181(3), pages 1030-1044, September.
    4. Greco, Salvatore & Matarazzo, Benedetto & Slowinski, Roman, 2002. "Rough sets methodology for sorting problems in presence of multiple attributes and criteria," European Journal of Operational Research, Elsevier, Elsevier, vol. 138(2), pages 247-259, April.
    5. Almeida-Dias, J. & Figueira, J.R. & Roy, B., 2010. "Electre Tri-C: A multiple criteria sorting method based on characteristic reference actions," European Journal of Operational Research, Elsevier, Elsevier, vol. 204(3), pages 565-580, August.
    6. Belacel, Nabil, 2000. "Multicriteria assignment method PROAFTN: Methodology and medical application," European Journal of Operational Research, Elsevier, Elsevier, vol. 125(1), pages 175-183, August.
    7. Dembczynski, Krzysztof & Greco, Salvatore & Slowinski, Roman, 2009. "Rough set approach to multiple criteria classification with imprecise evaluations and assignments," European Journal of Operational Research, Elsevier, Elsevier, vol. 198(2), pages 626-636, October.
    8. Doumpos, Michael & Zopounidis, Constantin, 2004. "A multicriteria classification approach based on pairwise comparisons," European Journal of Operational Research, Elsevier, Elsevier, vol. 158(2), pages 378-389, October.
    9. Fernandez, Eduardo & Navarro, Jorge, 2011. "A new approach to multi-criteria sorting based on fuzzy outranking relations: The THESEUS method," European Journal of Operational Research, Elsevier, Elsevier, vol. 213(2), pages 405-413, September.
    10. Araz, Ceyhun & Ozkarahan, Irem, 2007. "Supplier evaluation and management system for strategic sourcing based on a new multicriteria sorting procedure," International Journal of Production Economics, Elsevier, Elsevier, vol. 106(2), pages 585-606, April.
    11. Leger, Julien & Martel, Jean-Marc, 2002. "A multicriteria assignment procedure for a nominal sorting problematic," European Journal of Operational Research, Elsevier, Elsevier, vol. 138(2), pages 349-364, April.
    12. Fernandez, Eduardo & Navarro, Jorge & Duarte, Alfonso, 2008. "Multicriteria sorting using a valued preference closeness relation," European Journal of Operational Research, Elsevier, Elsevier, vol. 185(2), pages 673-686, March.
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    Cited by:
    1. repec:hal:wpaper:hal-00874292 is not listed on IDEAS
    2. Miłosz Kadziński & Roman Słowiński, 2013. "DIS-CARD: a new method of multiple criteria sorting to classes with desired cardinality," Journal of Global Optimization, Springer, vol. 56(3), pages 1143-1166, July.
    3. Bernard Roy & Roman Slowinski, 2013. "Questions guiding the choice of a multicriteria decision aiding method," Post-Print hal-00874292, HAL.
    4. Ishizaka, Alessio & Nemery, Philippe, 2014. "Assigning machines to incomparable maintenance strategies with ELECTRE-SORT," Omega, Elsevier, vol. 47(C), pages 45-59.
    5. Denis Bouyssou & Thierry Marchant, 2013. "Some remarks on ELECTRE TRI," Working Papers hal-00942310, HAL.


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