Article ID Journal Published Year Pages File Type
390474 Fuzzy Sets and Systems 2009 15 Pages PDF
Abstract

In this paper, we introduce appropriate properties of fuzzy preferences and fuzzy aggregation rules. We use them to provide fuzzy counterparts of Malawski and Zhou's [A note on social choice theory without the pareto principle, Social Choice and Welfare 16 (1994)] and Wilson's [Social choice theory without the pareto principle, Journal of Economic Theory 5 (1972) 478–486] impossibility results concerning the aggregation of individual preferences, which do not assume the Pareto principle. By weakening conditions on fuzzy social preferences, we obtain a possibility result.

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Physical Sciences and Engineering Computer Science Artificial Intelligence