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An interactive fuzzy judgment aggregation model for consensus with partially undecided judges

Author

Listed:
  • Beg, Ismat
  • Syed, Ayesha

Abstract

New requirements and challenges arise in judgment aggregation, due to the complexity of judgment making process and the necessity of dealing with huge amounts of vague and uncertain information and alternatives. In this paper we propose an interactive fuzzy judgment aggregation method for consensus to deal with the situation where judges are partially undecided.

Suggested Citation

  • Beg, Ismat & Syed, Ayesha, 2016. "An interactive fuzzy judgment aggregation model for consensus with partially undecided judges," MPRA Paper 96096, University Library of Munich, Germany, revised 14 Apr 2017.
  • Handle: RePEc:pra:mprapa:96096
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    References listed on IDEAS

    as
    1. R. E. Bellman & L. A. Zadeh, 1970. "Decision-Making in a Fuzzy Environment," Management Science, INFORMS, vol. 17(4), pages 141-164, December.
    2. Miller, Michael K., 2008. "Judgment Aggregation And Subjective Decision-Making," Economics and Philosophy, Cambridge University Press, vol. 24(2), pages 205-231, July.
    3. Ismat Beg & Samina Ashraf, 2008. "Fuzzy Similarity And Measure Of Similarity With Lukasiewicz Implicator," New Mathematics and Natural Computation (NMNC), World Scientific Publishing Co. Pte. Ltd., vol. 4(02), pages 191-206.
    4. List, Christian & Polak, Ben, 2010. "Introduction to judgment aggregation," Journal of Economic Theory, Elsevier, vol. 145(2), pages 441-466, March.
    5. Dietrich, Franz, 2016. "Judgment aggregation and agenda manipulation," Games and Economic Behavior, Elsevier, vol. 95(C), pages 113-136.
    6. Dokow, Elad & Holzman, Ron, 2010. "Aggregation of binary evaluations with abstentions," Journal of Economic Theory, Elsevier, vol. 145(2), pages 544-561, March.
    7. Gärdenfors, Peter, 2006. "A Representation Theorem For Voting With Logical Consequences," Economics and Philosophy, Cambridge University Press, vol. 22(2), pages 181-190, July.
    8. Dokow, Elad & Holzman, Ron, 2010. "Aggregation of binary evaluations," Journal of Economic Theory, Elsevier, vol. 145(2), pages 495-511, March.
    9. Eerik Lagerspetz, 2016. "Social Choice and Democratic Values," Studies in Choice and Welfare, Springer, edition 1, number 978-3-319-23261-4, March.
    10. Peter Fishburn & Ariel Rubinstein, 1986. "Aggregation of equivalence relations," Journal of Classification, Springer;The Classification Society, vol. 3(1), pages 61-65, March.
    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

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    JEL classification:

    • C6 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling
    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations
    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty

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