A Social Choice Analysis of the Borda Rule in a General Linguistic Framework
- https://doi.org/10.2991/ijcis.2010.3.4.9How to use a DOI?
- Linguistic preferences, Borda rule, Social Choice, Voting systems, Computing with words
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.
- © 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 -