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Relational Galois connections between transitive fuzzy digraphs. (English) Zbl 1446.06006

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.

MSC:

06A15 Galois correspondences, closure operators (in relation to ordered sets)
05C72 Fractional graph theory, fuzzy graph theory
05C20 Directed graphs (digraphs), tournaments
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