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Robust multi-criteria sorting with the outranking preference model and characteristic profiles

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  • Kadziński, Miłosz
  • Tervonen, Tommi
  • Rui Figueira, José

Abstract

We present a new multiple criteria sorting approach that uses characteristic profiles for defining the classes and outranking relation as the preference model, similarly to the Electre Tri-C method. We reformulate the conditions for the worst and best class assignments of Electre Tri-C to increase comprehensibility of the method and interpretability of the results it delivers. Then, we present a disaggregation procedure for inferring the set of outranking models compatible with the given preference information, and use the set in deriving, for each decision alternative, the necessary and possible assignments. Furthermore, we introduce simplified assignment procedures and prove that they maintain a no class jumps-property in the possible assignments. Application of the proposed approach is demonstrated by classifying 40 land zones in 4 classes representing different risk levels.

Suggested Citation

  • Kadziński, Miłosz & Tervonen, Tommi & Rui Figueira, José, 2015. "Robust multi-criteria sorting with the outranking preference model and characteristic profiles," Omega, Elsevier, vol. 55(C), pages 126-140.
    • Handle: RePEc:eee:jomega:v:55:y:2015:i:c:p:126-140
    DOI: 10.1016/j.omega.2014.06.004
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    2. Arandarenko, Mihail & Corrente, Salvatore & Jandrić, Maja & Stamenković, Mladen, 2020. "Multiple criteria decision aiding as a prediction tool for migration potential of regions," European Journal of Operational Research, Elsevier, vol. 284(3), pages 1154-1166.
    3. Durbach, Ian N. & Calder, Jon M., 2016. "Modelling uncertainty in stochastic multicriteria acceptability analysis," Omega, Elsevier, vol. 64(C), pages 13-23.
    4. Kadziński, Miłosz & Ghaderi, Mohammad & Dąbrowski, Maciej, 2020. "Contingent preference disaggregation model for multiple criteria sorting problem," European Journal of Operational Research, Elsevier, vol. 281(2), pages 369-387.
    5. Dias, Luis C. & Antunes, Carlos Henggeler & Dantas, Guilherme & de Castro, Nivalde & Zamboni, Lucca, 2018. "A multi-criteria approach to sort and rank policies based on Delphi qualitative assessments and ELECTRE TRI: The case of smart grids in Brazil," Omega, Elsevier, vol. 76(C), pages 100-111.
    6. Vincent Mousseau & Özgür Özpeynirci & Selin Özpeynirci, 2018. "Inverse multiple criteria sorting problem," Annals of Operations Research, Springer, vol. 267(1), pages 379-412, August.
    7. Hong-gang Peng & Jian-qiang Wang, 2020. "Multi-criteria sorting decision making based on dominance and opposition relations with probabilistic linguistic information," Fuzzy Optimization and Decision Making, Springer, vol. 19(4), pages 435-470, December.
    8. Arcidiacono, Sally Giuseppe & Corrente, Salvatore & Greco, Salvatore, 2021. "Robust stochastic sorting with interacting criteria hierarchically structured," European Journal of Operational Research, Elsevier, vol. 292(2), pages 735-754.
    9. Liu, Jiapeng & Liao, Xiuwu & Kadziński, Miłosz & Słowiński, Roman, 2019. "Preference disaggregation within the regularization framework for sorting problems with multiple potentially non-monotonic criteria," European Journal of Operational Research, Elsevier, vol. 276(3), pages 1071-1089.
    10. Liu, Jiapeng & Liao, Xiuwu & Zhao, Wenhong & Yang, Na, 2016. "A classification approach based on the outranking model for multiple criteria ABC analysis," Omega, Elsevier, vol. 61(C), pages 19-34.
    11. Ishizaka, Alessio & Lolli, Francesco & Balugani, Elia & Cavallieri, Rita & Gamberini, Rita, 2018. "DEASort: Assigning items with data envelopment analysis in ABC classes," International Journal of Production Economics, Elsevier, vol. 199(C), pages 7-15.
    12. Liu, Jiapeng & Liao, Xiuwu & Huang, Wei & Yang, Jian-bo, 2018. "A new decision-making approach for multiple criteria sorting with an imbalanced set of assignment examples," European Journal of Operational Research, Elsevier, vol. 265(2), pages 598-620.
    13. Pinto, F.S. & Costa, A.S. & Figueira, J.R. & Marques, R.C., 2017. "The quality of service: An overall performance assessment for water utilities," Omega, Elsevier, vol. 69(C), pages 115-125.
    14. Khaled Belahcène & Vincent Mousseau & Wassila Ouerdane & Marc Pirlot & Olivier Sobrie, 2023. "Multiple criteria sorting models and methods—Part I: survey of the literature," 4OR, Springer, vol. 21(1), pages 1-46, March.
    15. Jafar Rezaei & Miłosz Kadziński & Chrysoula Vana & Lori Tavasszy, 2022. "Embedding carbon impact assessment in multi-criteria supplier segmentation using ELECTRE TRI-rC," Annals of Operations Research, Springer, vol. 312(2), pages 1445-1467, May.
    16. Tlili, Ali & Belahcène, Khaled & Khaled, Oumaima & Mousseau, Vincent & Ouerdane, Wassila, 2022. "Learning non-compensatory sorting models using efficient SAT/MaxSAT formulations," European Journal of Operational Research, Elsevier, vol. 298(3), pages 979-1006.
    17. Fernández, Eduardo & Figueira, José Rui & Navarro, Jorge & Solares, Efrain, 2023. "A generalized approach to ordinal classification based on the comparison of actions with either limiting or characteristic profiles," European Journal of Operational Research, Elsevier, vol. 305(3), pages 1309-1322.

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