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arXiv · 2111.03010

Fuzzy Arrovian Theorems when preferences are complete

Armajac Raventós-Pujol
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Abstract

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

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Armajac Raventós-Pujol. 2021-11-04. Fuzzy Arrovian Theorems when preferences are complete. https://doi.org/10.22111/ijfs.2022.7085

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