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

DOI

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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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  - 10.2991/ijcis.2010.3.4.9
ID  - Garcia-Lapresta2010
ER  -