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On the Choquet multiple criteria preference aggregation model: Theoretical and practical insights from a real-world application

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  • Bottero, M.
  • Ferretti, V.
  • Figueira, J.R.
  • Greco, S.
  • Roy, B.

Abstract

We consider the use of the Choquet integral for evaluating projects or actions in a real-world application starting from the case of the re-qualification of an abandoned quarry. Despite the Choquet integral being a very well-known preference model for which there is a rich and well developed theory, its application in a multiple criteria decision aiding perspective requires some specific methodological developments. This led us to work out and implement in practice two new procedures: a first procedure to build interval scales with the objective of assigning utility values on a common scale to the criteria performances, and a second one to construct a ratio scale for assigning numerical values to the capacities of the Choquet integral. This article discusses the strengths and weaknesses of the Choquet integral as appearing in the case study, proposing as well insights related to the interaction of the experts within a focus group.

Suggested Citation

  • Bottero, M. & Ferretti, V. & Figueira, J.R. & Greco, S. & Roy, B., 2018. "On the Choquet multiple criteria preference aggregation model: Theoretical and practical insights from a real-world application," European Journal of Operational Research, Elsevier, vol. 271(1), pages 120-140.
    • Handle: RePEc:eee:ejores:v:271:y:2018:i:1:p:120-140
    DOI: 10.1016/j.ejor.2018.04.022
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    Cited by:

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    7. Siskos, Eleftherios & Burgherr, Peter, 2022. "Multicriteria decision support for the evaluation of electricity supply resilience: Exploration of interacting criteria," European Journal of Operational Research, Elsevier, vol. 298(2), pages 611-626.
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    10. 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.
    11. Mei Cai & Stephen M. Marson, 2021. "A regional Natech risk assessment based on a Natech-prone facility network for dependent events," Natural Hazards: Journal of the International Society for the Prevention and Mitigation of Natural Hazards, Springer;International Society for the Prevention and Mitigation of Natural Hazards, vol. 107(3), pages 2155-2174, July.
    12. Francesco Sica & Francesco Tajani & Maria Rosaria Guarini & Rossana Ranieri, 2023. "A Sensitivity Index to Perform the Territorial Sustainability in Uncertain Decision-Making Conditions," Land, MDPI, vol. 12(2), pages 1-21, February.
    13. Yin Liu & Wenjun Chang & Xuefei Jia, 2023. "A Group Consensus Model for Multiple Attributes Group Decision Making with Interval Belief Distribution and Interval Distributed Preference Relation," Group Decision and Negotiation, Springer, vol. 32(3), pages 701-727, June.
    14. Mei Cai & Wenfei Xiu & Guo Wei, 2021. "Expected loss utility for natural hazards and its application in pricing property insurance products," Environment Systems and Decisions, Springer, vol. 41(3), pages 377-391, September.
    15. Mehmet Pinar, 2022. "Choquet-Integral Aggregation Method to Aggregate Social Indicators to Account for Interactions: An Application to the Human Development Index," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 159(1), pages 1-53, January.
    16. Pereira, André Alves & Pereira, Miguel Alves, 2023. "Energy storage strategy analysis based on the Choquet multi-criteria preference aggregation model: The Portuguese case," Socio-Economic Planning Sciences, Elsevier, vol. 85(C).
    17. Pereira, Miguel Alves & Camanho, Ana Santos & Figueira, José Rui & Marques, Rui Cunha, 2021. "Incorporating preference information in a range directional composite indicator: The case of Portuguese public hospitals," European Journal of Operational Research, Elsevier, vol. 294(2), pages 633-650.
    18. Murcia, Nathanaëlle N.S. & Ferreira, Fernando A.F. & Ferreira, João J.M., 2022. "Enhancing strategic management using a “quantified VRIO”: Adding value with the MCDA approach," Technological Forecasting and Social Change, Elsevier, vol. 174(C).
    19. Hou, Fujun & Triantaphyllou, Evangelos, 2019. "An iterative approach for achieving consensus when ranking a finite set of alternatives by a group of experts," European Journal of Operational Research, Elsevier, vol. 275(2), pages 570-579.
    20. Corrente, S. & Figueira, J.R. & Greco, S., 2021. "Pairwise comparison tables within the deck of cards method in multiple criteria decision aiding," European Journal of Operational Research, Elsevier, vol. 291(2), pages 738-756.
    21. Figueira, José Rui & Greco, Salvatore & Roy, Bernard, 2022. "Electre-Score: A first outranking based method for scoring actions," European Journal of Operational Research, Elsevier, vol. 297(3), pages 986-1005.
    22. Beliakov, Gleb, 2022. "Knapsack problems with dependencies through non-additive measures and Choquet integral," European Journal of Operational Research, Elsevier, vol. 301(1), pages 277-286.
    23. Fu, Chao & Chang, Wenjun & Xue, Min & Yang, Shanlin, 2019. "Multiple criteria group decision making with belief distributions and distributed preference relations," European Journal of Operational Research, Elsevier, vol. 273(2), pages 623-633.
    24. Bana e Costa, Carlos A. & Oliveira, Mónica D. & Vieira, Ana C.L. & Freitas, Liliana & Rodrigues, Teresa C. & Bana e Costa, João & Freitas, Ângela & Santana, Paula, 2023. "Collaborative development of composite indices from qualitative value judgements: The EURO-HEALTHY Population Health Index model," European Journal of Operational Research, Elsevier, vol. 305(1), pages 475-492.

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