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Dealing with interaction between bipolar multiple criteria preferences in PROMETHEE methods

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  • Salvatore Corrente
  • José Figueira
  • Salvatore Greco

Abstract

In this paper we extend the PROMETHEE methods to the case of interacting criteria on a bipolar scale, introducing the bipolar PROMETHEE method based on the bipolar Choquet integral. In order to elicit parameters compatible with preference information provided by the Decision Maker (DM), we propose to apply the Robust Ordinal Regression (ROR). ROR takes into account simultaneously all the sets of parameters compatible with the preference information provided by the DM considering a necessary and a possible preference relation. Copyright Springer Science+Business Media New York 2014

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  • Salvatore Corrente & José Figueira & Salvatore Greco, 2014. "Dealing with interaction between bipolar multiple criteria preferences in PROMETHEE methods," Annals of Operations Research, Springer, vol. 217(1), pages 137-164, June.
    • Handle: RePEc:spr:annopr:v:217:y:2014:i:1:p:137-164:10.1007/s10479-014-1554-1
    DOI: 10.1007/s10479-014-1554-1
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    Cited by:

    1. Meimei Xia & Jian Chen & Xiao-Jun Zeng, 2018. "Decision Analysis on Choquet Integral-Based Multi-Criteria Decision-Making with Imprecise Information," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 17(02), pages 677-704, March.
    2. Pereira, Miguel Alves & Figueira, José Rui & Marques, Rui Cunha, 2020. "Using a Choquet integral-based approach for incorporating decision-maker’s preference judgments in a Data Envelopment Analysis model," European Journal of Operational Research, Elsevier, vol. 284(3), pages 1016-1030.
    3. Corrente, Salvatore & Figueira, José Rui & Greco, Salvatore, 2014. "The SMAA-PROMETHEE method," European Journal of Operational Research, Elsevier, vol. 239(2), pages 514-522.
    4. Meimei Xia & Jian Chen & Juliang Zhang, 2015. "Multi-criteria decision making based on relative measures," Annals of Operations Research, Springer, vol. 229(1), pages 791-811, June.
    5. 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.
    6. Arcidiacono, Sally Giuseppe & Corrente, Salvatore & Greco, Salvatore, 2018. "GAIA-SMAA-PROMETHEE for a hierarchy of interacting criteria," European Journal of Operational Research, Elsevier, vol. 270(2), pages 606-624.
    7. Corrente, Salvatore & Greco, Salvatore & Ishizaka, Alessio, 2016. "Combining analytical hierarchy process and Choquet integral within non-additive robust ordinal regression," Omega, Elsevier, vol. 61(C), pages 2-18.
    8. Angilella, Silvia & Corrente, Salvatore & Greco, Salvatore, 2015. "Stochastic multiobjective acceptability analysis for the Choquet integral preference model and the scale construction problem," European Journal of Operational Research, Elsevier, vol. 240(1), pages 172-182.
    9. Silvia Angilella & Marta Bottero & Salvatore Corrente & Valentina Ferretti & Salvatore Greco & Isabella M. Lami, 2016. "Non Additive Robust Ordinal Regression for urban and territorial planning: an application for siting an urban waste landfill," Annals of Operations Research, Springer, vol. 245(1), pages 427-456, October.
    10. Angilella, Silvia & Corrente, Salvatore & Greco, Salvatore & Słowiński, Roman, 2016. "Robust Ordinal Regression and Stochastic Multiobjective Acceptability Analysis in multiple criteria hierarchy process for the Choquet integral preference model," Omega, Elsevier, vol. 63(C), pages 154-169.
    11. Emilios Galariotis & Christophe Germain & Constantin Zopounidis, 2018. "A combined methodology for the concurrent evaluation of the business, financial and sports performance of football clubs: the case of France," Annals of Operations Research, Springer, vol. 266(1), pages 589-612, July.
    12. Salvatore Corrente & Michael Doumpos & Salvatore Greco & Roman Słowiński & Constantin Zopounidis, 2017. "Multiple criteria hierarchy process for sorting problems based on ordinal regression with additive value functions," Annals of Operations Research, Springer, vol. 251(1), pages 117-139, April.
    13. Govindan, Kannan & Kadziński, Miłosz & Sivakumar, R., 2017. "Application of a novel PROMETHEE-based method for construction of a group compromise ranking to prioritization of green suppliers in food supply chain," Omega, Elsevier, vol. 71(C), pages 129-145.
    14. Juan Tang & Hong-lin Zhu & Zhi Liu & Fu Jia & Xiao-xue Zheng, 2019. "Urban Sustainability Evaluation under the Modified TOPSIS Based on Grey Relational Analysis," IJERPH, MDPI, vol. 16(2), pages 1-21, January.

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