Fuzzy Arrovian theorems when preferences are strongly-connected

Document Type : Research Paper

Author

Inarbe (Institute for Advanced Research in Business and Economics) and Departamento de Estad´ıstica, Inform´atica y Matem´aticas. Universidad P´ublica de Navarra. 31006 Pamplona, Spain

10.22111/ijfs.2022.7085

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 strongly-connected 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 about ultrafilters and Arrovian models.

Keywords

References

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Iranian Journal of Fuzzy Systems
Volume 19, Issue 4
July and August 2022
Pages 45-56

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