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De-las-Peñas-Cabrera, Inmaculada Cordero-Ortega, Pablo Muñoz-Velasco, Emilio José Ojeda-Aciego, Manuel De Baets, Bernard 2023-05-08T10:36:29Z 2023-05-08T10:36:29Z 2022-12-28 I.P. Cabrera, P. Cordero, E. Muñoz-Velasco, M. Ojeda-Aciego, B. De Baets, Fuzzy relational Galois connections between fuzzy transitive digraphs, Fuzzy Sets and Systems, Volume 463, 2023, 108456, ISSN 0165-0114, https://doi.org/10.1016/j.fss.2022.12.012. https://hdl.handle.net/10630/26514 https://doi.org/10.1016/j.fss.2022.12.012 We present a fuzzy version of the notion of relational Galois connection between fuzzy transitive directed graphs (fuzzy T-digraphs) on the specific setting in which the underlying algebra of truth values is a complete Heyting algebra. The components of such fuzzy Galois connection are fuzzy relations satisfying certain reasonable properties expressed in terms of the so-called full powering. Moreover, we provide a necessary and sufficient condition under which it is possible to construct a right adjoint for a given fuzzy relation between a fuzzy T-digraph and an unstructured set. eng http://creativecommons.org/licenses/by-nc-nd/4.0/ open access Attribution-NonCommercial-NoDerivatives 4.0 Internacional Galois, Teoría de Fuzzy relational Galois connections between fuzzy transitive digraphs journal article