Decomposition of fuzzy relations: An application to fuzzy preferences

Decomposition of fuzzy relations: An application to fuzzy preferences

In this article, working in the spirit of the classical Arrovian models in the fuzzy setting and their possible extensions, we go deeper into the study of some type of decompositions defined by t-norms and t-conorms. This allows us to achieve characterizations of existence and uniqueness for such de...

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Veröffentlicht in:arXiv.org 2023-06
Hauptverfasser: María Jesús Campión, Induráin, Esteban, Raventós-Pujol, Armajac
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Decomposition
Norms
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Raventós-Pujol, Armajac
description In this article, working in the spirit of the classical Arrovian models in the fuzzy setting and their possible extensions, we go deeper into the study of some type of decompositions defined by t-norms and t-conorms. This allows us to achieve characterizations of existence and uniqueness for such decompositions and we provide rules to obtain them under some specific conditions. We conclude by applying such results to the study of fuzzy preferences, a key concept in Fuzzy Social Choice.
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subjects Decomposition
Norms
title Decomposition of fuzzy relations: An application to fuzzy preferences
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