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In this paper we study the aggregation of fuzzy preferences onnon-necessarily finite societies. We characterize in terms of possibility andimpossibility a family of models of complete preferences in which thetransitivity is defined for any t-norm. For that purpose, we have describedeach model by means of some crisp binary relations and we have applied theresults obtained by Kirman and Sondermann.

Fuzzy Arrovian Theorems when preferences are complete