A LINGUISTIC GROUP DECISION MAKING METHOD BASED ON DISTANCES

Edurne Falcó, José Luis García-Lapresta

Abstract

It is common knowledge that the political voting systems suffer inconsistencies and paradoxes such that Arrow has shown in his well-known Impossibility Theorem. Recently Balinski and Laraki have introduced a new voting system called Majority Judgement (MJ) which tries to solve some of these limitations. In MJ voters have to asses the candidates through linguistic terms belonging to a common language. From this information, MJ assigns as the collective assessment the lower median of the individual assessments and it considers a sequential tie-breaking method for ranking the candidates. The present paper provides an extension of MJ focused to reduce some of the drawbacks that have been detected in MJ by several authors. The model assigns as the collective assessment a label that minimizes the distance to the individual assessments. In addition, we propose a new tie-breaking method also based on distances.

References

  1. Arrow, K. J. (1963). Social Choice and Individual Values. John Wiley and Sons, 2nd edition.
  2. Balinski, M. and Laraki, R. (2007a). A theory of measuring, electing and ranking. In Proceedings of the National Academy os Sciences of the United States of America, volume 104, pages 8720-8725.
  3. Balinski, M. and Laraki, R. (2007b). Election by majority judgement: Experimental evidence. Ecole Polytechnique - Centre National de la Recherche Scientifique, Cahier 2007-28.
  4. Balinski, M. and Laraki, R. (2007c). The majority judgement. In http://ceco.polytechnique.fr/judgementmajoritaire.html.
  5. Felsenthal, D. S. and Machover, M. (2008). The majority judgement voting procedure: a critical evaluation. In Homo Oeconomicus, volume 25, pages 319-334.
  6. García-Lapresta, J. L. and Martínez-Panero, M. (2009). Linguistic-based voting through centered owa operators. In Fuzzy Optimization and Decision Making, volume 8, pages 381-393.
  7. Monjardet, B. (2008). Mathèmatique sociale and mathematics. a case study: Condorcet's effect and medians. In Electronic Journal for History of Probability and Statistics 4.
  8. Smith, W. D. (2007). On Balinski & Laraki's majority judgement median-based range-like voting scheme. In http://rangevoting.org/MedianVrange.html.
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Paper Citation


in Harvard Style

Falcó E. and Luis García-Lapresta J. (2011). A LINGUISTIC GROUP DECISION MAKING METHOD BASED ON DISTANCES . In Proceedings of the 3rd International Conference on Agents and Artificial Intelligence - Volume 1: ICAART, ISBN 978-989-8425-40-9, pages 458-463. DOI: 10.5220/0003273104580463


in Bibtex Style

@conference{icaart11,
author={Edurne Falcó and José Luis García-Lapresta},
title={A LINGUISTIC GROUP DECISION MAKING METHOD BASED ON DISTANCES},
booktitle={Proceedings of the 3rd International Conference on Agents and Artificial Intelligence - Volume 1: ICAART,},
year={2011},
pages={458-463},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0003273104580463},
isbn={978-989-8425-40-9},
}


in EndNote Style

TY - CONF
JO - Proceedings of the 3rd International Conference on Agents and Artificial Intelligence - Volume 1: ICAART,
TI - A LINGUISTIC GROUP DECISION MAKING METHOD BASED ON DISTANCES
SN - 978-989-8425-40-9
AU - Falcó E.
AU - Luis García-Lapresta J.
PY - 2011
SP - 458
EP - 463
DO - 10.5220/0003273104580463