International Journal of Computational Intelligence Systems

Volume 3, Issue 4, October 2010, Pages 501 - 513

A Social Choice Analysis of the Borda Rule in a General Linguistic Framework

Authors
José Luis Garcia-Lapresta, Bonifacio Llamazares, Miguel Martinez-Panero
Corresponding Author
José Luis Garcia-Lapresta
Received 15 January 2010, Accepted 25 May 2010, Available Online 1 October 2010.
DOI
https://doi.org/10.2991/ijcis.2010.3.4.9How to use a DOI?
Keywords
Linguistic preferences, Borda rule, Social Choice, Voting systems, Computing with words
Abstract

In this paper the Borda rule is extended by allowing the voters to show their preferences among alternatives through linguistic labels. To this aim, we need to add them up for assigning a qualification to each alternative and then to compare such qualifications. Theoretically, all these assessments and comparisons fall into a totally ordered commutative monoid generated by the initial set of linguistic labels. Practically, we show an example which illustrates the suitability of this linguistic approach. Finally, some interesting properties for this Borda rule are proven in the Social Choice context.

Copyright
© 2010, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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Journal
International Journal of Computational Intelligence Systems
Volume-Issue
3 - 4
Pages
501 - 513
Publication Date
2010/10/01
ISSN (Online)
1875-6883
ISSN (Print)
1875-6891
DOI
https://doi.org/10.2991/ijcis.2010.3.4.9How to use a DOI?
Copyright
© 2010, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

TY  - JOUR
AU  - José Luis Garcia-Lapresta
AU  - Bonifacio Llamazares
AU  - Miguel Martinez-Panero
PY  - 2010
DA  - 2010/10/01
TI  - A Social Choice Analysis of the Borda Rule in a General Linguistic Framework
JO  - International Journal of Computational Intelligence Systems
SP  - 501
EP  - 513
VL  - 3
IS  - 4
SN  - 1875-6883
UR  - https://doi.org/10.2991/ijcis.2010.3.4.9
DO  - https://doi.org/10.2991/ijcis.2010.3.4.9
ID  - Garcia-Lapresta2010
ER  -