Linguistic-based voting through centered OWA operators

Two linguistic-based voting systems have been introduced in recent years, namely: Majority Judgement (Balinski and Laraki, 2007) and Range Voting (Smith, 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, 2007) and the 2-tuple model (Herrera and Mart́ınez 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.