Fuzzy Arrovian theorems when preferences are strongly-connected
Fecha
2022Autor
Versión
Acceso abierto / Sarbide irekia
Tipo
Artículo / Artikulua
Versión
Versión publicada / Argitaratu den bertsioa
Identificador del proyecto
Impacto
|
10.22111/ijfs.2022.7085 (Erróneo)
Resumen
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 ...
[++]
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. [--]
Materias
Arrovian models in the fuzzy setting,
Coalitions,
Defuzzification,
Fuzzy preferences,
Infinite agents,
Mathematical social choice,
Strongly-connected preferences,
Ultrafilters
Editor
University of Sistan and Baluchestan
Publicado en
Iranian Journal of Fuzzy Systems 19(4), 45-56
Departamento
Universidad Pública de Navarra. Departamento de Estadística, Informática y Matemáticas /
Nafarroako Unibertsitate Publikoa. Estatistika, Informatika eta Matematika Saila /
Universidad Pública de Navarra/Nafarroako Unibertsitate Publikoa. Institute for Advanced Research in Business and Economics - INARBE
Versión del editor
Entidades Financiadoras
This work is partially supported by the research project PID2019-108392GB-I00 and a predoctoral grant from the UPNA research institutes.