IDEAS home Printed from https://ideas.repec.org/a/spr/grdene/v21y2012i3d10.1007_s10726-010-9210-x.html
   My bibliography  Save this article

Ordered Weighted Disagreement Functions

Author

Listed:
  • I. Contreras

    (Pablo de Olavide University)

Abstract

In this paper a preference aggregation procedure is proposed for those cases in which decision-makers express their preferences by means of a ranking of alternatives. Among the most commonly applied methods for this purpose are those based on distance measures between individual and collective preferences, which look for the solution that minimizes the disagreement across decision-makers. Some models based on the minimization of the distance between rankings include weights to adjust the relative importance of the agents in the final decision, although in those cases, the weights are related with an a priori evaluation of the individuals and not with the behaviour of the agents in the group decision making process. In the model proposed here, a weighted disagreement function whose emphasis is on the ordered position of the individuals’ disagreement values is developed. In order to solve the problem, a mixed-integer linear programming model is constructed.

Suggested Citation

  • I. Contreras, 2012. "Ordered Weighted Disagreement Functions," Group Decision and Negotiation, Springer, vol. 21(3), pages 345-361, May.
    • Handle: RePEc:spr:grdene:v:21:y:2012:i:3:d:10.1007_s10726-010-9210-x
    DOI: 10.1007/s10726-010-9210-x
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s10726-010-9210-x
    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/s10726-010-9210-x?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. Contreras, I. & Marmol, A.M., 2007. "A lexicographical compromise method for multiple criteria group decision problems with imprecise information," European Journal of Operational Research, Elsevier, vol. 181(3), pages 1530-1539, September.
    2. Ignacio Contreras, 2010. "A Distance-Based Consensus Model with Flexible Choice of Rank-Position Weights," Group Decision and Negotiation, Springer, vol. 19(5), pages 441-456, September.
    3. Wade D. Cook & Lawrence M. Seiford, 1982. "On the Borda-Kendall Consensus Method for Priority Ranking Problems," Management Science, INFORMS, vol. 28(6), pages 621-637, June.
    4. Wade D. Cook & Lawrence M. Seiford, 1978. "Priority Ranking and Consensus Formation," Management Science, INFORMS, vol. 24(16), pages 1721-1732, December.
    5. Hannu Nurmi, 2004. "A Comparison of Some Distance-Based Choice Rules in Ranking Environments," Theory and Decision, Springer, vol. 57(1), pages 5-24, August.
    6. González-Pachøn, Jacinto & Romero, Carlos, 1999. "Distance-based consensus methods: a goal programming approach," Omega, Elsevier, vol. 27(3), pages 341-347, June.
    7. Nick Baigent, 1987. "Preference Proximity and Anonymous Social Choice," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 102(1), pages 161-169.
    8. Daniel Eckert & Christian Klamler & Johann Mitlöhner & Christian Schlötterer, 2006. "A distance-based comparison of basic voting rules," 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. 14(4), pages 377-386, December.
    9. Cook, Wade D. & Kress, Moshe, 1986. "Ordinal ranking and preference strength," Mathematical Social Sciences, Elsevier, vol. 11(3), pages 295-306, June.
    10. Wade D. Cook & Moshe Kress, 1985. "Ordinal Ranking with Intensity of Preference," Management Science, INFORMS, vol. 31(1), pages 26-32, January.
    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. Jian-qiang Wang & Zhi-qiu Han & Hong-yu Zhang, 2014. "Multi-criteria Group Decision-Making Method Based on Intuitionistic Interval Fuzzy Information," Group Decision and Negotiation, Springer, vol. 23(4), pages 715-733, July.

    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. Ignacio Contreras, 2010. "A Distance-Based Consensus Model with Flexible Choice of Rank-Position Weights," Group Decision and Negotiation, Springer, vol. 19(5), pages 441-456, September.
    2. J González-Pachón & C Romero, 2006. "An analytical framework for aggregating multiattribute utility functions," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 57(10), pages 1241-1247, October.
    3. Cook, Wade D., 2006. "Distance-based and ad hoc consensus models in ordinal preference ranking," European Journal of Operational Research, Elsevier, vol. 172(2), pages 369-385, July.
    4. Jorge Alcalde-Unzu & Marc Vorsatz, 2013. "Measuring the cohesiveness of preferences: an axiomatic analysis," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 41(4), pages 965-988, October.
    5. J.C.R. Alcantud & R. de Andrés Calle & J.M. Cascón, 2013. "Consensus and the Act of Voting," Studies in Microeconomics, , vol. 1(1), pages 1-22, June.
    6. Jabeur, Khaled & Martel, Jean-Marc, 2007. "A collective choice method based on individual preferences relational systems (p.r.s.)," European Journal of Operational Research, Elsevier, vol. 177(3), pages 1549-1565, March.
    7. Muhammad Mahajne & Shmuel Nitzan & Oscar Volij, 2015. "Level $$r$$ r consensus and stable social choice," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 45(4), pages 805-817, December.
    8. Qi Wei & Rui Wang & Chuan-Yang Ruan, 2024. "Similarity Measures of Probabilistic Interval Preference Ordering Sets and Their Applications in Decision-Making," Mathematics, MDPI, vol. 12(20), pages 1-26, October.
    9. González-Arteaga, T. & Alcantud, J.C.R. & de Andrés Calle, R., 2016. "A cardinal dissensus measure based on the Mahalanobis distance," European Journal of Operational Research, Elsevier, vol. 251(2), pages 575-585.
    10. Yeawon Yoo & Adolfo R. Escobedo, 2021. "A New Binary Programming Formulation and Social Choice Property for Kemeny Rank Aggregation," Decision Analysis, INFORMS, vol. 18(4), pages 296-320, December.
    11. Jabeur, Khaled & Martel, Jean-Marc, 2007. "An ordinal sorting method for group decision-making," European Journal of Operational Research, Elsevier, vol. 180(3), pages 1272-1289, August.
    12. Jorge Alcalde-Unzu & Marc Vorsatz, 2008. "The Measurement of Consensus: An Axiomatic Analysis," Working Papers 2008-28, FEDEA.
    13. Kelin Luo & Yinfeng Xu & Bowen Zhang & Huili Zhang, 2018. "Creating an acceptable consensus ranking for group decision making," Journal of Combinatorial Optimization, Springer, vol. 36(1), pages 307-328, July.
    14. Muhammad Mahajne & Shmuel Nitzan & Oscar Volij, 2013. "LEVEL r CONSENSUS AND STABLE SOCIAL CHOICE," Working Papers 1305, Ben-Gurion University of the Negev, Department of Economics.
    15. Hanna Bury & Dariusz Wagner, 2009. "Group judgement with ties. A position-based approach," Operations Research and Decisions, Wroclaw University of Technology, Institute of Organization and Management, vol. 4, pages 9-26.
    16. Edith Elkind & Piotr Faliszewski & Arkadii Slinko, 2015. "Distance rationalization of voting rules," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 45(2), pages 345-377, September.
    17. Cook, Wade D. & Kress, Moshe & Seiford, Lawrence M., 1997. "A general framework for distance-based consensus in ordinal ranking models," European Journal of Operational Research, Elsevier, vol. 96(2), pages 392-397, January.
    18. G. Laffond & J. Lainé, 2013. "Unanimity and the Anscombe’s paradox," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 21(3), pages 590-611, October.
    19. Hanna Bury & Dariusz Wagner, 2009. "Group judgment with ties. A position-based approach," Operations Research and Decisions, Wroclaw University of Science and Technology, Faculty of Management, vol. 19(4), pages 7-26.
    20. Gilbert Laffond & Jean Lainé & M. Remzi Sanver, 2020. "Metrizable preferences over preferences," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 55(1), pages 177-191, June.

    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:grdene:v:21:y:2012:i:3:d:10.1007_s10726-010-9210-x. 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.