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A Decision Rule Aggregation Approach to Multiple Criteria-Multiple Participant Sorting

Author

Listed:
  • Y. Chen

    (Nanjing University of Aeronautics and Astronautics)

  • D. Marc Kilgour

    (Wilfrid Laurier University)

  • Keith W. Hipel

    (University of Waterloo)

Abstract

A system that aggregates case-based linguistic decision rules using a hybrid of the dominance-based rough set approach (DRSA) and the Dempster–Shafer (DS) theory of evidence is proposed for multiple criterion-multiple participant sorting. First, DRSA is employed to infer linguistic decision rules that estimate the preferences of a few participants by means of their evaluations of representative case sets. Next, DS theory is applied to aggregate the decision rules triggered by all participants’ evaluations of an alternative, thereby generating an overall decision recommendation for the alternative. The method is demonstrated on a numerical example.

Suggested Citation

  • Y. Chen & D. Marc Kilgour & Keith W. Hipel, 2012. "A Decision Rule Aggregation Approach to Multiple Criteria-Multiple Participant Sorting," Group Decision and Negotiation, Springer, vol. 21(5), pages 727-745, September.
    • Handle: RePEc:spr:grdene:v:21:y:2012:i:5:d:10.1007_s10726-011-9246-6
    DOI: 10.1007/s10726-011-9246-6
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    References listed on IDEAS

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    1. Terrance Hurley & Jason Shogren, 2005. "An Experimental Comparison of Induced and Elicited Beliefs," Journal of Risk and Uncertainty, Springer, vol. 30(2), pages 169-188, January.
    2. 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.
    3. Malcolm J. Beynon, 2006. "The Role of the DS/AHP in Identifying Inter-Group Alliances and Majority Rule Within Group Decision Making," Group Decision and Negotiation, Springer, vol. 15(1), pages 21-42, January.
    4. Jyrki Wallenius & James S. Dyer & Peter C. Fishburn & Ralph E. Steuer & Stanley Zionts & Kalyanmoy Deb, 2008. "Multiple Criteria Decision Making, Multiattribute Utility Theory: Recent Accomplishments and What Lies Ahead," Management Science, INFORMS, vol. 54(7), pages 1336-1349, July.
    5. Zopounidis, Constantin & Doumpos, Michael, 2002. "Multicriteria classification and sorting methods: A literature review," European Journal of Operational Research, Elsevier, vol. 138(2), pages 229-246, April.
    6. Yoram Wind & Thomas L. Saaty, 1980. "Marketing Applications of the Analytic Hierarchy Process," Management Science, INFORMS, vol. 26(7), pages 641-658, July.
    7. Blaszczynski, Jerzy & Greco, Salvatore & Slowinski, Roman, 2007. "Multi-criteria classification - A new scheme for application of dominance-based decision rules," European Journal of Operational Research, Elsevier, vol. 181(3), pages 1030-1044, September.
    8. Beynon, Malcolm, 2002. "DS/AHP method: A mathematical analysis, including an understanding of uncertainty," European Journal of Operational Research, Elsevier, vol. 140(1), pages 148-164, July.
    9. Beynon, Malcolm & Curry, Bruce & Morgan, Peter, 2000. "The Dempster-Shafer theory of evidence: an alternative approach to multicriteria decision modelling," Omega, Elsevier, vol. 28(1), pages 37-50, February.
    10. Robert Chambers & Tigran Melkonyan, 2008. "Eliciting beliefs," Theory and Decision, Springer, vol. 65(4), pages 271-284, December.
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    Cited by:

    1. Mota, Caroline Maria de Miranda & Figueiredo, Ciro José Jardim de & Pereira, Débora Viana e Sousa, 2021. "Identifying areas vulnerable to homicide using multiple criteria analysis and spatial analysis," Omega, Elsevier, vol. 100(C).
    2. Galo, Nadya Regina & Calache, Lucas Daniel Del Rosso & Carpinetti, Luiz Cesar Ribeiro, 2018. "A group decision approach for supplier categorization based on hesitant fuzzy and ELECTRE TRI," International Journal of Production Economics, Elsevier, vol. 202(C), pages 182-196.
    3. Danielle Costa Morais & Adiel Teixeira Almeida & José Rui Figueira, 2014. "A Sorting Model for Group Decision Making: A Case Study of Water Losses in Brazil," Group Decision and Negotiation, Springer, vol. 23(5), pages 937-960, September.
    4. Marcella Maia Urtiga & Danielle Costa Morais & Keith W. Hipel & D. Marc Kilgour, 2017. "Group Decision Methodology to Support Watershed Committees in Choosing Among Combinations of Alternatives," Group Decision and Negotiation, Springer, vol. 26(4), pages 729-752, July.
    5. Miłosz Kadziński & Lucia Rocchi & Grzegorz Miebs & David Grohmann & Maria Elena Menconi & Luisa Paolotti, 2018. "Multiple Criteria Assessment of Insulating Materials with a Group Decision Framework Incorporating Outranking Preference Model and Characteristic Class Profiles," Group Decision and Negotiation, Springer, vol. 27(1), pages 33-59, February.
    6. Chakhar, Salem & Ishizaka, Alessio & Labib, Ashraf & Saad, Inès, 2016. "Dominance-based rough set approach for group decisions," European Journal of Operational Research, Elsevier, vol. 251(1), pages 206-224.

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