Abstract
Aggregation operators are a fundamental tool in multicriteria decision making procedures. Due to the huge variety of aggregation operators existing in the literature, one of the most important issues in this field is the choice of the bestsuited operators in each aggregation process. Given that some aggregation operators can be seen as extensions of majority rules to the field of gradual preferences, we can choose the aggregation operators according to the class of majority rule that we want to obtain when individuals do not grade their preferences. Thus, in this paper we consider mixture operators to aggregate individual preferences and we characterize those that allow us to extend some majority rules, such as simple, Pareto, and absolute special majorities, to the field of gradual preferences.
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Llamazares, B., Marques Pereira, R.A. (2010). Majority Rules Generated by Mixture Operators. In: Bouchon-Meunier, B., Magdalena, L., Ojeda-Aciego, M., Verdegay, JL., Yager, R.R. (eds) Foundations of Reasoning under Uncertainty. Studies in Fuzziness and Soft Computing, vol 249. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-10728-3_10
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DOI: https://doi.org/10.1007/978-3-642-10728-3_10
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