IDEAS home Printed from https://ideas.repec.org/a/eee/jomega/v129y2024ics0305048324001026.html
   My bibliography  Save this article

Integrating confidence and preservation of information in the preference elicitation process: A lexicographic order approach for inconsistent judgments

Author

Listed:
  • Ricardo, Alexandre
  • Figueira, José Rui
  • Tavares, Luís Valadares

Abstract

The Pairwise Comparison Table for the Deck of Cards Method enables the elicitation of preference parameters through an interactive process between an analyst and a Decision-Maker (DM). As in other preferences elicitation processes in Multiple Criteria Decision Aiding (MCDA) problems, this methodology can result in several inconsistent judgments. One way to address this concern is to use Linear Programming (LP) techniques to find solutions that minimize the number of initial inconsistent judgments that must be modified to restore consistency. However, since this approach does not allow further differentiating solutions, it can be inefficient in decision problems with multiple inconsistent information and several distinct solutions to overcome such inconsistencies. To enhance the decision-making process and to suggest solutions based on enriched information, we propose a new procedure for addressing inconsistent judgments based on two additional criteria to complement the minimum cardinality criterion. While the first additional criterion concerns the confidence level of the DM in their initial judgments, the second seeks to minimize the modifications made to the initial judgments to distort them as little as possible. Solving the three criteria in a specific LP-based lexicographic order defined by the DM makes it possible to determine a comprehensive ranking of eligible solutions to restore consistency. Proposing these solutions to the DM according to their position in the ranking enables revising the initial inconsistent judgments more efficiently. The new methodology also considers the possibility of missing confidence information, which can decrease the cognitive effort of the DM in real-world decision problems when eliciting preferences.

Suggested Citation

  • Ricardo, Alexandre & Figueira, José Rui & Tavares, Luís Valadares, 2024. "Integrating confidence and preservation of information in the preference elicitation process: A lexicographic order approach for inconsistent judgments," Omega, Elsevier, vol. 129(C).
    • Handle: RePEc:eee:jomega:v:129:y:2024:i:c:s0305048324001026
    DOI: 10.1016/j.omega.2024.103136
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0305048324001026
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.omega.2024.103136?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. 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.
    2. Liang, Fuqi & Brunelli, Matteo & Rezaei, Jafar, 2020. "Consistency issues in the best worst method: Measurements and thresholds," Omega, Elsevier, vol. 96(C).
    3. Sándor Bozóki & János Fülöp & Attila Poesz, 2015. "On reducing inconsistency of pairwise comparison matrices below an acceptance threshold," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 23(4), pages 849-866, December.
    4. Figueira, José Rui & Oliveira, Henrique M. & Serro, Ana Paula & Colaço, Rogério & Froes, Filipe & Robalo Cordeiro, Carlos & Diniz, António & Guimarães, Miguel, 2023. "A multiple criteria approach for building a pandemic impact assessment composite indicator: The case of COVID-19 in Portugal," European Journal of Operational Research, Elsevier, vol. 309(2), pages 795-818.
    5. 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.
    6. Ágoston, Kolos Csaba & Csató, László, 2024. "A lexicographically optimal completion for pairwise comparison matrices with missing entries," European Journal of Operational Research, Elsevier, vol. 314(3), pages 1078-1086.
    7. Bell, Peter C. & Anderson, Chris K. & Staples, D. Sandy & Elder, Mark, 1999. "Decision-makers' perceptions of the value and impact of visual interactive modelling," Omega, Elsevier, vol. 27(2), pages 155-165, April.
    8. Dinis, Duarte Caldeira & Figueira, José Rui & Teixeira, Ângelo Palos, 2023. "A multiple criteria approach for ship risk classification: An alternative to the Paris MoU Ship Risk Profile," Socio-Economic Planning Sciences, Elsevier, vol. 90(C).
    9. Cinelli, Marco & Kadziński, Miłosz & Gonzalez, Michael & Słowiński, Roman, 2020. "How to support the application of multiple criteria decision analysis? Let us start with a comprehensive taxonomy," Omega, Elsevier, vol. 96(C).
    10. Ágoston, Kolos Csaba & Csató, László, 2022. "Inconsistency thresholds for incomplete pairwise comparison matrices," Omega, Elsevier, vol. 108(C).
    11. Dias, Luis & Mousseau, Vincent & Figueira, Jose & Climaco, Joao, 2002. "An aggregation/disaggregation approach to obtain robust conclusions with ELECTRE TRI," European Journal of Operational Research, Elsevier, vol. 138(2), pages 332-348, April.
    12. Lupo, Toni, 2015. "Fuzzy ServPerf model combined with ELECTRE III to comparatively evaluate service quality of international airports in Sicily," Journal of Air Transport Management, Elsevier, vol. 42(C), pages 249-259.
    13. repec:dau:papers:123456789/2944 is not listed on IDEAS
    14. Mousseau, Vincent & Figueira, Jose & Dias, Luis & Gomes da Silva, Carlos & Climaco, Joao, 2003. "Resolving inconsistencies among constraints on the parameters of an MCDA model," European Journal of Operational Research, Elsevier, vol. 147(1), pages 72-93, May.
    15. 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.
    16. Figueira, Jose & Roy, Bernard, 2002. "Determining the weights of criteria in the ELECTRE type methods with a revised Simos' procedure," European Journal of Operational Research, Elsevier, vol. 139(2), pages 317-326, June.
    17. Xinyi Zhou & Yong Hu & Yong Deng & Felix T. S. Chan & Alessio Ishizaka, 2018. "A DEMATEL-based completion method for incomplete pairwise comparison matrix in AHP," Annals of Operations Research, Springer, vol. 271(2), pages 1045-1066, December.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. García-Zamora, Diego & Dutta, Bapi & Figueira, José Rui & Martínez, Luis, 2024. "The Deck of Cards Method to Build Interpretable Fuzzy Sets in Decision-making," European Journal of Operational Research, Elsevier, vol. 319(1), pages 246-262.
    2. Figueira, José Rui & Oliveira, Henrique M. & Serro, Ana Paula & Colaço, Rogério & Froes, Filipe & Robalo Cordeiro, Carlos & Diniz, António & Guimarães, Miguel, 2023. "A multiple criteria approach for building a pandemic impact assessment composite indicator: The case of COVID-19 in Portugal," European Journal of Operational Research, Elsevier, vol. 309(2), pages 795-818.
    3. Govindan, Kannan & Jepsen, Martin Brandt, 2016. "ELECTRE: A comprehensive literature review on methodologies and applications," European Journal of Operational Research, Elsevier, vol. 250(1), pages 1-29.
    4. Dinis, Duarte Caldeira & Figueira, José Rui & Teixeira, Ângelo Palos, 2023. "A multiple criteria approach for ship risk classification: An alternative to the Paris MoU Ship Risk Profile," Socio-Economic Planning Sciences, Elsevier, vol. 90(C).
    5. Sarah Ben Amor & Fateh Belaid & Ramzi Benkraiem & Boumediene Ramdani & Khaled Guesmi, 2023. "Multi-criteria classification, sorting, and clustering: a bibliometric review and research agenda," Annals of Operations Research, Springer, vol. 325(2), pages 771-793, June.
    6. Tervonen, Tommi & Figueira, José Rui & Lahdelma, Risto & Dias, Juscelino Almeida & Salminen, Pekka, 2009. "A stochastic method for robustness analysis in sorting problems," European Journal of Operational Research, Elsevier, vol. 192(1), pages 236-242, January.
    7. Zsombor Szádoczki & Sándor Bozóki & Patrik Juhász & Sergii V. Kadenko & Vitaliy Tsyganok, 2023. "Incomplete pairwise comparison matrices based on graphs with average degree approximately 3," Annals of Operations Research, Springer, vol. 326(2), pages 783-807, July.
    8. 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).
    9. 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.
    10. Fu-Ling Cai & Xiuwu Liao & Kan-Liang Wang, 2012. "An interactive sorting approach based on the assignment examples of multiple decision makers with different priorities," Annals of Operations Research, Springer, vol. 197(1), pages 87-108, August.
    11. Costa, Ana Sara & Figueira, José Rui & Borbinha, José, 2018. "A multiple criteria nominal classification method based on the concepts of similarity and dissimilarity," European Journal of Operational Research, Elsevier, vol. 271(1), pages 193-209.
    12. Corrente, Salvatore & Figueira, José Rui & Greco, Salvatore & Słowiński, Roman, 2017. "A robust ranking method extending ELECTRE III to hierarchy of interacting criteria, imprecise weights and stochastic analysis," Omega, Elsevier, vol. 73(C), pages 1-17.
    13. 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.
    14. Barbati, Maria & Greco, Salvatore & Lami, Isabella M., 2024. "The Deck-of-cards-based Ordinal Regression method and its application for the development of an ecovillage," European Journal of Operational Research, Elsevier, vol. 319(3), pages 845-861.
    15. Concetta Manuela La Fata & Toni Lupo & Tommaso Piazza, 2019. "Service quality benchmarking via a novel approach based on fuzzy ELECTRE III and IPA: an empirical case involving the Italian public healthcare context," Health Care Management Science, Springer, vol. 22(1), pages 106-120, March.
    16. G Özerol & E Karasakal, 2008. "Interactive outranking approaches for multicriteria decision-making problems with imprecise information," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 59(9), pages 1253-1268, September.
    17. 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.
    18. 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.
    19. 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.
    20. Liao, Huchang & Wu, Xingli & Mi, Xiaomei & Herrera, Francisco, 2020. "An integrated method for cognitive complex multiple experts multiple criteria decision making based on ELECTRE III with weighted Borda rule," Omega, Elsevier, vol. 93(C).

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:jomega:v:129:y:2024:i:c:s0305048324001026. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/wps/find/journaldescription.cws_home/375/description#description .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.