Campión Arrastia, María JesúsInduráin Eraso, EstebanRaventós Pujol, Armajac2024-05-212024-05-212023Campión, M. J., Induráin, E., Raventós-Pujol, A. (2023) Decomposition of fuzzy relations: An application to the definition, construction and analysis of fuzzy preferences. Axioms, 12(12), 1-20. https://doi.org/10.3390/axioms12121077.2075-168010.3390/axioms12121077https://academica-e.unavarra.es/handle/2454/48142In 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.application/pdfeng© 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.Fuzzy binary relationsDecompositions of fuzzy relationsFuzzy preferencesArrovian models in the fuzzy settinginfo:eu-repo/semantics/article2024-05-21info:eu-repo/semantics/openAccess