Fuzzy relational Galois connections between fuzzy transitive digraphs

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URI: https://hdl.handle.net/10630/26514
DOI: https://doi.org/10.1016/j.fss.2022.12.012

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2022-12-28

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Elsevier

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Facultad de Ciencias

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Galois, Teoría de

Abstract

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.

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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.

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Attribution-NonCommercial-NoDerivatives 4.0 Internacional
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