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Linguistic-based voting through centered OWA operators

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Abstract

Two linguistic-based voting systems have been introduced in recent years, namely: Majority Judgement (Balinski and Laraki in http://ceco.polytechnique.fr/jugement-majoritaire.html, 2007a) and Range Voting (Smith in http://www.math.temple.edu/~wds/homepage/rangevote.pdf, 2000). The keys for them are aggregation procedures based on the median and the arithmetic mean of the grades assessed to the alternatives, respectively. In this paper a comprehensive framework based on centered OWA operators (Yager in Soft Comput 11:631–639, 2007a) and the 2-tuple model (Herrera and Martínez in IEEE Trans Fuzzy Syst 8:746–752, 2000) is provided to enclose such distinct approaches. In addition, we show how to avoid some drawbacks of Majority Judgement and Range Voting by means of the use of suitable aggregation functions.

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References

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Authors and Affiliations

  1. PRESAD Research Group, Department of Applied Economics, University of Valladolid, 47011, Valladolid, Spain

    José Luis García-Lapresta & Miguel Martínez-Panero

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  1. José Luis García-Lapresta
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  2. Miguel Martínez-Panero
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Correspondence to José Luis García-Lapresta.

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García-Lapresta, J.L., Martínez-Panero, M. Linguistic-based voting through centered OWA operators. Fuzzy Optim Decis Making 8, 381–393 (2009). https://doi.org/10.1007/s10700-009-9067-0

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  • DOI: https://doi.org/10.1007/s10700-009-9067-0

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