IDEAS home Printed from https://ideas.repec.org/a/spr/aqjoor/v20y2022i3d10.1007_s10288-021-00487-w.html
   My bibliography  Save this article

Simple ranking method using reference profiles: incremental elicitation of the preference parameters

Author

Listed:
  • Arwa Khannoussi

    (Université Lumière Lyon 2)

  • Alexandru-Liviu Olteanu

    (Université Bretagne Sud)

  • Christophe Labreuche

    (Thales Group)

  • Patrick Meyer

    (IMT Atlantique)

Abstract

The Simple Ranking Method using Reference Profiles (or SRMP) is a Multi-Criteria Decision Aiding technique based on the outranking paradigm, which allows to rank decision alternatives according to the preferences of a decision maker (DM). Inferring the preference parameters of such a model can lead to a cognitive fatigue of the DM, who is often asked to express several preferential statements about pairs of alternatives during the elicitation process. To limit the DM’s effort, we propose in this work an incremental elicitation process to select informative pairs of alternatives to be presented to the DM sequentially with the aim of refining the SRMP model until a robust recommendation can be made. We study several different heuristics for selecting the pair of alternatives to be submitted to the DM at each step. Following extensive numerical experiments we identify one of the proposed heuristics as performing significantly better than the others and we provide several guidelines for its use in practice.

Suggested Citation

  • Arwa Khannoussi & Alexandru-Liviu Olteanu & Christophe Labreuche & Patrick Meyer, 2022. "Simple ranking method using reference profiles: incremental elicitation of the preference parameters," 4OR, Springer, vol. 20(3), pages 499-530, September.
    • Handle: RePEc:spr:aqjoor:v:20:y:2022:i:3:d:10.1007_s10288-021-00487-w
    DOI: 10.1007/s10288-021-00487-w
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s10288-021-00487-w
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1007/s10288-021-00487-w?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. Greco, Salvatore & Matarazzo, Benedetto & Slowinski, Roman, 2001. "Rough sets theory for multicriteria decision analysis," European Journal of Operational Research, Elsevier, vol. 129(1), pages 1-47, February.
    2. Rolland, Antoine, 2013. "Reference-based preferences aggregation procedures in multi-criteria decision making," European Journal of Operational Research, Elsevier, vol. 225(3), pages 479-486.
    3. Bouyssou, Denis & Marchant, Thierry, 2013. "Multiattribute preference models with reference points," European Journal of Operational Research, Elsevier, vol. 229(2), pages 470-481.
    4. 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.
    5. Bouyssou, Denis & Pirlot, Marc, 2009. "An axiomatic analysis of concordance-discordance relations," European Journal of Operational Research, Elsevier, vol. 199(2), pages 468-477, December.
    6. Ciomek, Krzysztof & Kadziński, Miłosz & Tervonen, Tommi, 2017. "Heuristics for selecting pair-wise elicitation questions in multiple criteria choice problems," European Journal of Operational Research, Elsevier, vol. 262(2), pages 693-707.
    7. Holloway, Hillary A. & White III, Chelsea C., 2003. "Question selection for multi-attribute decision-aiding," European Journal of Operational Research, Elsevier, vol. 148(3), pages 525-533, August.
    8. Butler, John & Jia, Jianmin & Dyer, James, 1997. "Simulation techniques for the sensitivity analysis of multi-criteria decision models," European Journal of Operational Research, Elsevier, vol. 103(3), pages 531-546, December.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Oussama Raboun & Eric Chojnacki & Alexis Tsoukiàs, 2023. "Dynamic-R: a “challenge-free” method for rating problem statements," Annals of Operations Research, Springer, vol. 325(2), pages 845-873, June.

    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. Alexandru-Liviu Olteanu & Khaled Belahcene & Vincent Mousseau & Wassila Ouerdane & Antoine Rolland & Jun Zheng, 2022. "Preference elicitation for a ranking method based on multiple reference profiles," 4OR, Springer, vol. 20(1), pages 63-84, March.
    2. Kadziński, Miłosz & Ciomek, Krzysztof, 2021. "Active learning strategies for interactive elicitation of assignment examples for threshold-based multiple criteria sorting," European Journal of Operational Research, Elsevier, vol. 293(2), pages 658-680.
    3. Ghaderi, Mohammad & Kadziński, Miłosz, 2021. "Incorporating uncovered structural patterns in value functions construction," Omega, Elsevier, vol. 99(C).
    4. Vetschera, Rudolf & Chen, Ye & Hipel, Keith W. & Marc Kilgour, D., 2010. "Robustness and information levels in case-based multiple criteria sorting," European Journal of Operational Research, Elsevier, vol. 202(3), pages 841-852, May.
    5. 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.
    6. Doumpos, M. & Marinakis, Y. & Marinaki, M. & Zopounidis, C., 2009. "An evolutionary approach to construction of outranking models for multicriteria classification: The case of the ELECTRE TRI method," European Journal of Operational Research, Elsevier, vol. 199(2), pages 496-505, December.
    7. McKenna, R. & Bertsch, V. & Mainzer, K. & Fichtner, W., 2018. "Combining local preferences with multi-criteria decision analysis and linear optimization to develop feasible energy concepts in small communities," European Journal of Operational Research, Elsevier, vol. 268(3), pages 1092-1110.
    8. Kadziński, Miłosz & Wójcik, Michał & Ciomek, Krzysztof, 2022. "Review and experimental comparison of ranking and choice procedures for constructing a univocal recommendation in a preference disaggregation setting," Omega, Elsevier, vol. 113(C).
    9. Pegdwendé Minoungou & Vincent Mousseau & Wassila Ouerdane & Paolo Scotton, 2023. "A MIP-based approach to learn MR-Sort models with single-peaked preferences," Annals of Operations Research, Springer, vol. 325(2), pages 795-817, June.
    10. 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.
    11. Bezoui, Madani & Olteanu, Alexandru-Liviu & Sevaux, Marc, 2023. "Integrating preferences within multiobjective flexible job shop scheduling," European Journal of Operational Research, Elsevier, vol. 305(3), pages 1079-1086.
    12. Doumpos, Michael & Zopounidis, Constantin, 2011. "Preference disaggregation and statistical learning for multicriteria decision support: A review," European Journal of Operational Research, Elsevier, vol. 209(3), pages 203-214, March.
    13. 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.
    14. Angilella, Silvia & Greco, Salvatore & Matarazzo, Benedetto, 2010. "Non-additive robust ordinal regression: A multiple criteria decision model based on the Choquet integral," European Journal of Operational Research, Elsevier, vol. 201(1), pages 277-288, February.
    15. Greco, Salvatore & Mousseau, Vincent & Slowinski, Roman, 2008. "Ordinal regression revisited: Multiple criteria ranking using a set of additive value functions," European Journal of Operational Research, Elsevier, vol. 191(2), pages 416-436, December.
    16. Labreuche, Christophe & Grabisch, Michel, 2018. "Using multiple reference levels in Multi-Criteria Decision aid: The Generalized-Additive Independence model and the Choquet integral approaches," European Journal of Operational Research, Elsevier, vol. 267(2), pages 598-611.
    17. 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.
    18. 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.
    19. Silvia Angilella & Maria Rosaria Pappalardo, 2022. "Performance assessment of energy companies employing Hierarchy Stochastic Multi-Attribute Acceptability Analysis," Operational Research, Springer, vol. 22(1), pages 299-370, March.
    20. 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.

    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:spr:aqjoor:v:20:y:2022:i:3:d:10.1007_s10288-021-00487-w. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    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.