Decomposition of fuzzy relations: an application to the definition, construction and analysis of fuzzy preferences
Fecha
2023Versión
Acceso abierto / Sarbide irekia
Tipo
Artículo / Artikulua
Versión
Versión publicada / Argitaratu den bertsioa
Identificador del proyecto
Impacto
|
10.3390/axioms12121077
Resumen
In this article, we go deeper into the study of some types of decompositions defined by triangular norms and conorms. We work in the spirit of the classical Arrovian models in the fuzzy setting and their possible extensions. This allows us to achieve characterizations of existence and uniqueness for such decompositions. We provide rules to obtain them under some specific conditions. We conclude b ...
[++]
In this article, we go deeper into the study of some types of decompositions defined by triangular norms and conorms. We work in the spirit of the classical Arrovian models in the fuzzy setting and their possible extensions. This allows us to achieve characterizations of existence and uniqueness for such decompositions. We provide rules to obtain them under some specific conditions. We conclude by applying the results achieved to the study of fuzzy preferences. [--]
Materias
Fuzzy binary relations,
Decompositions of fuzzy relations,
Fuzzy preferences,
Arrovian models in the fuzzy setting
Editor
MDPI
Publicado en
Axioms (2023), vol. 12(12)
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 Materials and Mathematics - INAMAT2 /
Universidad Pública de Navarra/Nafarroako Unibertsitate Publikoa. Institute for Advanced Research in Business and Economics - INARBE
Versión del editor
Entidades Financiadoras
This work has been partially supported by the research projects whose references are PID2019-108392GB-I00 (AEI/10.13039/501100011033), PID2021-127799NB-I00 and PID2022-1366274NBI00 from the Ministry of Science and Innovation of Spain, as well as the Ayudas para la Recualificación del Sistema Universitario Español para 2021-2023, UPNA. Modalidad Margarita Salas funded by the European Union-NextGenerationEU and a predoctoral grant from the UPNA Research Institutes.
Aparece en las colecciones
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La licencia del ítem se describe como © 2023 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license.
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