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A threshold for majority in the context of aggregating partial order relations

Michaël Rademaker (UGent) and Bernard De Baets (UGent)
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Abstract
We consider a voting problem where voters have expressed their preferences on a single set of objects. These preferences take the shape of strict partial order relations. In order to allow extraction of a unique strict partial order relation corresponding to a social set of preferences, we determine the minimum number of votes a pairwise preference should receive in order to qualify as a social pairwise preference. Transitive closure of the social pairwise preferences will result in the social set of preferences. At the same time, the social set of preferences needs to be cycle-free, and the minimum number of votes should be determined with this constraint in mind. We provide an example application.
Keywords
T-TRANSITIVE CLOSURES, SOCIAL CHOICE FUNCTIONS

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MLA
Rademaker, Michaël, and Bernard De Baets. “A Threshold for Majority in the Context of Aggregating Partial Order Relations.” IEEE International Conference on Fuzzy Systems, IEEE, 2010, doi:10.1109/FUZZY.2010.5584342.
APA
Rademaker, M., & De Baets, B. (2010). A threshold for majority in the context of aggregating partial order relations. IEEE International Conference on Fuzzy Systems. Presented at the 2010 IEEE World congress on Computational Intelligence ; 2010 IEEE International conference on Fuzzy Systems (FUZZ-IEEE 2010), Barcelona, Spain. https://doi.org/10.1109/FUZZY.2010.5584342
Chicago author-date
Rademaker, Michaël, and Bernard De Baets. 2010. “A Threshold for Majority in the Context of Aggregating Partial Order Relations.” In IEEE International Conference on Fuzzy Systems. New York, NY, USA: IEEE. https://doi.org/10.1109/FUZZY.2010.5584342.
Chicago author-date (all authors)
Rademaker, Michaël, and Bernard De Baets. 2010. “A Threshold for Majority in the Context of Aggregating Partial Order Relations.” In IEEE International Conference on Fuzzy Systems. New York, NY, USA: IEEE. doi:10.1109/FUZZY.2010.5584342.
Vancouver
1.
Rademaker M, De Baets B. A threshold for majority in the context of aggregating partial order relations. In: IEEE International Conference on Fuzzy Systems. New York, NY, USA: IEEE; 2010.
IEEE
[1]
M. Rademaker and B. De Baets, “A threshold for majority in the context of aggregating partial order relations,” in IEEE International Conference on Fuzzy Systems, Barcelona, Spain, 2010.
@inproceedings{2914462,
  abstract     = {{We consider a voting problem where voters have expressed their preferences on a single set of objects. These preferences take the shape of strict partial order relations. In order to allow extraction of a unique strict partial order relation corresponding to a social set of preferences, we determine the minimum number of votes a pairwise preference should receive in order to qualify as a social pairwise preference. Transitive closure of the social pairwise preferences will result in the social set of preferences. At the same time, the social set of preferences needs to be cycle-free, and the minimum number of votes should be determined with this constraint in mind. We provide an example application.}},
  author       = {{Rademaker, Michaël and De Baets, Bernard}},
  booktitle    = {{IEEE International Conference on Fuzzy Systems}},
  isbn         = {{9781424469192}},
  issn         = {{1098-7584}},
  keywords     = {{T-TRANSITIVE CLOSURES,SOCIAL CHOICE FUNCTIONS}},
  language     = {{eng}},
  location     = {{Barcelona, Spain}},
  pages        = {{4}},
  publisher    = {{IEEE}},
  title        = {{A threshold for majority in the context of aggregating partial order relations}},
  url          = {{http://doi.org/10.1109/FUZZY.2010.5584342}},
  year         = {{2010}},
}

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