Linguistic-based voting through centered OWA operators

Authors:
José Luis García-Lapresta;Miguel Martínez-Panero
Affiliations:
PRESAD Research Group, Department of Applied Economics, University of Valladolid, Valladolid, Spain 47011;PRESAD Research Group, Department of Applied Economics, University of Valladolid, Valladolid, Spain 47011
Venue:
Fuzzy Optimization and Decision Making
Year:
2009

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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.