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Cyclic Evaluation of Transitivity of Reciprocal Relations

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  • B. Baets
  • H. Meyer
  • B. Schuymer

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  • B. Baets & H. Meyer & B. Schuymer, 2006. "Cyclic Evaluation of Transitivity of Reciprocal Relations," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 26(2), pages 217-238, April.
    • Handle: RePEc:spr:sochwe:v:26:y:2006:i:2:p:217-238
    DOI: 10.1007/s00355-006-0093-3
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    References listed on IDEAS

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    1. Garcia-Lapresta, Jose Luis & Llamazares, Bonifacio, 2001. "Majority decisions based on difference of votes," Journal of Mathematical Economics, Elsevier, vol. 35(3), pages 463-481, June.
    2. Alsina, Claudi & Nelsen, Roger B. & Schweizer, Berthold, 1993. "On the characterization of a class of binary operations on distribution functions," Statistics & Probability Letters, Elsevier, vol. 17(2), pages 85-89, May.
    3. Rajat Deb & Manabendra Dasgupta, 1996. "Transitivity and fuzzy preferences," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 13(3), pages 305-318.
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    Citations

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    Cited by:

    1. Richard Baron & Mostapha Diss & Eric Rémila & Philippe Solal, 2015. "A geometric examination of majorities based on difference in support," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 45(1), pages 123-153, June.
    2. Meimei Xia & Jian Chen, 2015. "Studies on Interval Multiplicative Preference Relations and Their Application to Group Decision Making," Group Decision and Negotiation, Springer, vol. 24(1), pages 115-144, January.
    3. Conal Duddy & Ashley Piggins, 2018. "On some oligarchy results when social preference is fuzzy," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 51(4), pages 717-735, December.
    4. Michele Fedrizzi & Matteo Brunelli, 2009. "On the normalization of a priority vector associated with a reciprocal relation," DISA Working Papers 0905, Department of Computer and Management Sciences, University of Trento, Italy, revised 29 Jul 2009.
    5. B. Schuymer & H. Meyer & B. baets, 2007. "Extreme Copulas and the Comparison of Ordered Lists," Theory and Decision, Springer, vol. 62(3), pages 195-217, May.
    6. Xia, Meimei & Chen, Jian, 2015. "Multi-criteria group decision making based on bilateral agreements," European Journal of Operational Research, Elsevier, vol. 240(3), pages 756-764.
    7. Montes, Ignacio & Rademaker, Michael & Pérez-Fernández, Raúl & De Baets, Bernard, 2020. "A correspondence between voting procedures and stochastic orderings," European Journal of Operational Research, Elsevier, vol. 285(3), pages 977-987.
    8. Brunelli, Matteo & Fedrizzi, Michele, 2015. "Boundary properties of the inconsistency of pairwise comparisons in group decisions," European Journal of Operational Research, Elsevier, vol. 240(3), pages 765-773.
    9. Pahikkala, Tapio & Waegeman, Willem & Tsivtsivadze, Evgeni & Salakoski, Tapio & De Baets, Bernard, 2010. "Learning intransitive reciprocal relations with kernel methods," European Journal of Operational Research, Elsevier, vol. 206(3), pages 676-685, November.
    10. Gleb Beliakov & Simon James & Tim Wilkin, 2017. "Aggregation and consensus for preference relations based on fuzzy partial orders," Fuzzy Optimization and Decision Making, Springer, vol. 16(4), pages 409-428, December.
    11. Llamazares, Bonifacio & Pérez-Asurmendi, Patrizia, 2013. "Triple-acyclicity in majorities based on difference in support," MPRA Paper 52218, University Library of Munich, Germany.

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