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

Michaël Rademaker and Bernard De Baets UGent (2010) IEEE International Conference on Fuzzy Systems.
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.
Please use this url to cite or link to this publication:
author
organization
year
type
conference (proceedingsPaper)
publication status
published
subject
keyword
T-TRANSITIVE CLOSURES, SOCIAL CHOICE FUNCTIONS
in
IEEE International Conference on Fuzzy Systems
issue title
2010 IEEE International conference on fuzzy systems (FUZZ-IEEE 2010)
pages
4 pages
publisher
IEEE
place of publication
New York, NY, USA
conference name
2010 IEEE World congress on Computational Intelligence ; 2010 IEEE International conference on Fuzzy Systems (FUZZ-IEEE 2010)
conference location
Barcelona, Spain
conference start
2010-07-18
conference end
2010-07-23
Web of Science type
Proceedings Paper
Web of Science id
000287453602045
ISSN
1098-7584
ISBN
9781424469192
DOI
10.1109/FUZZY.2010.5584342
language
English
UGent publication?
yes
classification
P1
copyright statement
I have transferred the copyright for this publication to the publisher
id
2914462
handle
http://hdl.handle.net/1854/LU-2914462
date created
2012-06-21 11:36:26
date last changed
2018-05-17 14:38:30
@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, Micha{\"e}l and De Baets, Bernard},
  booktitle    = {IEEE International Conference on Fuzzy Systems},
  isbn         = {9781424469192},
  issn         = {1098-7584},
  keyword      = {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://dx.doi.org/10.1109/FUZZY.2010.5584342},
  year         = {2010},
}

Chicago
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.
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), New York, NY, USA: IEEE.
Vancouver
1.
Rademaker M, De Baets B. A threshold for majority in the context of aggregating partial order relations. IEEE International Conference on Fuzzy Systems. New York, NY, USA: IEEE; 2010.
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. New York, NY, USA: IEEE, 2010. Print.