Cabrera, Inma P.; Cordero, Pablo; Muñoz-Velasco, Emilio; Ojeda-Aciego, Manuel; De Baets, Bernard Relational Galois connections between transitive fuzzy digraphs. (English) Zbl 1446.06006 Math. Methods Appl. Sci. 43, No. 9, 5673-5680 (2020). Summary: Fuzzy-directed graphs are often chosen as the data structure to model and implement solutions to several problems in the applied sciences. Galois connections have also shown to be useful both in theoretical and in practical problems.In this paper, the notion of relational Galois connection is extended to be applied between transitive fuzzy directed graphs. In this framework, the components of the connection are crisp relations satisfying certain reasonable properties given in terms of the so-called full powering. Cited in 3 Documents MSC: 06A15 Galois correspondences, closure operators (in relation to ordered sets) 05C72 Fractional graph theory, fuzzy graph theory 05C20 Directed graphs (digraphs), tournaments Keywords:closure operators; fuzzy digraph; Galois correspondences; relational systems PDFBibTeX XMLCite \textit{I. P. Cabrera} et al., Math. Methods Appl. Sci. 43, No. 9, 5673--5680 (2020; Zbl 1446.06006) Full Text: DOI