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Abstract
The aggregation of binary relations is a common topic in many fields of application such as social choice and cluster analysis. In this paper, we discuss how the median procedure - probably the most common method for aggregating binary relations - fits in the framework of penalty-based data aggregation.
Keywords
METRIC RATIONALIZATION, Aggregation, Penalty function, Binary relation, Median

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MLA
Perez Fernandez, Raul, and Bernard De Baets. “The Median Procedure as an Example of Penalty-Based Aggregation of Binary Relations.” Information Processing and Management of Uncertainty in Knowledge-Based Systems : Theory and Foundations, Pt II, edited by Jesús Medina et al., vol. 854, Springer, 2018, pp. 359–66, doi:10.1007/978-3-319-91476-3_30.
APA
Perez Fernandez, R., & De Baets, B. (2018). The median procedure as an example of penalty-based aggregation of binary relations. In J. Medina, M. Ojeda-Aciego, J. L. Verdegay, D. A. Pelta, I. P. Cabrera, B. Bouchon-Meunier, & R. R. Yager (Eds.), Information processing and management of uncertainty in knowledge-based systems : theory and foundations, pt II (Vol. 854, pp. 359–366). https://doi.org/10.1007/978-3-319-91476-3_30
Chicago author-date
Perez Fernandez, Raul, and Bernard De Baets. 2018. “The Median Procedure as an Example of Penalty-Based Aggregation of Binary Relations.” In Information Processing and Management of Uncertainty in Knowledge-Based Systems : Theory and Foundations, Pt II, edited by Jesús Medina, Manuel Ojeda-Aciego, José Luis Verdegay, David A Pelta, Inma P Cabrera, Bernadette Bouchon-Meunier, and Ronald R Yager, 854:359–66. Berlin, Germany: Springer. https://doi.org/10.1007/978-3-319-91476-3_30.
Chicago author-date (all authors)
Perez Fernandez, Raul, and Bernard De Baets. 2018. “The Median Procedure as an Example of Penalty-Based Aggregation of Binary Relations.” In Information Processing and Management of Uncertainty in Knowledge-Based Systems : Theory and Foundations, Pt II, ed by. Jesús Medina, Manuel Ojeda-Aciego, José Luis Verdegay, David A Pelta, Inma P Cabrera, Bernadette Bouchon-Meunier, and Ronald R Yager, 854:359–366. Berlin, Germany: Springer. doi:10.1007/978-3-319-91476-3_30.
Vancouver
1.
Perez Fernandez R, De Baets B. The median procedure as an example of penalty-based aggregation of binary relations. In: Medina J, Ojeda-Aciego M, Verdegay JL, Pelta DA, Cabrera IP, Bouchon-Meunier B, et al., editors. Information processing and management of uncertainty in knowledge-based systems : theory and foundations, pt II. Berlin, Germany: Springer; 2018. p. 359–66.
IEEE
[1]
R. Perez Fernandez and B. De Baets, “The median procedure as an example of penalty-based aggregation of binary relations,” in Information processing and management of uncertainty in knowledge-based systems : theory and foundations, pt II, Cadiz, Spain, 2018, vol. 854, pp. 359–366.
@inproceedings{8628384,
  abstract     = {{The aggregation of binary relations is a common topic in many fields of application such as social choice and cluster analysis. In this paper, we discuss how the median procedure - probably the most common method for aggregating binary relations - fits in the framework of penalty-based data aggregation.}},
  author       = {{Perez Fernandez, Raul and De Baets, Bernard}},
  booktitle    = {{Information processing and management of uncertainty in knowledge-based systems : theory and foundations, pt II}},
  editor       = {{Medina, Jesús and Ojeda-Aciego, Manuel and Verdegay, José Luis and Pelta, David A and Cabrera, Inma P and Bouchon-Meunier, Bernadette and Yager, Ronald R}},
  isbn         = {{9783319914756}},
  issn         = {{1865-0929}},
  keywords     = {{METRIC RATIONALIZATION,Aggregation,Penalty function,Binary relation,Median}},
  language     = {{eng}},
  location     = {{Cadiz, Spain}},
  pages        = {{359--366}},
  publisher    = {{Springer}},
  title        = {{The median procedure as an example of penalty-based aggregation of binary relations}},
  url          = {{http://dx.doi.org/10.1007/978-3-319-91476-3_30}},
  volume       = {{854}},
  year         = {{2018}},
}

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