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• W1567186679 abstract "Vagueness of preferences has been formalized by using the tools of fuzzy set theory, particularly in a quantitative context. Considering fuzzy aggregation (aggregation of lists of individual fuzzy preferences into a social fuzzy preference), Barrett, Pattanaik and Salles (BPS) showed that Arrow’s impossibility theorem and Gibbard’s oligarchy theorem were essentially preserved, given appropriate properties of fuzzy preferences and a sort of unrestricted domain condition. In a series of papers, we intend to analyze fuzzy aggregation in an economic environment. This means that the set of alternatives has some specific mathematical structure and preferences are, in some way, restricted. This first paper deals with the case where the set of alternatives are public goods, preferences exhibit various assumptions, in particular monotonicity assumptions, while BPS other assumptions are preserved. It is shown that according to which monotonicity assumptions are made, possibility results (given by the mean rule) or impossibility results prevail." @default.
• W1567186679 created "2016-06-24" @default.
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• W1567186679 date "2003-04-01" @default.
• W1567186679 modified "2023-09-25" @default.
• W1567186679 title "Fuzzy aggregation in economic environments" @default.
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• W1567186679 doi "https://doi.org/10.1016/s0165-4896(03)00023-4" @default.
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