Compositions of ternary relations
Kybernetika, Tome 57 (2021) no. 3, pp. 404-425.

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In this paper, we introduce six basic types of composition of ternary relations, four of which are associative. These compositions are based on two types of composition of a ternary relation with a binary relation recently introduced by Zedam et al. We study the properties of these compositions, in particular the link with the usual composition of binary relations through the use of the operations of projection and cylindrical extension.
DOI : 10.14736/kyb-2021-3-0404
Classification : 03E20, 97E60
Keywords: binary relation; ternary relation; relational compositions
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Bakri, Norelhouda; Zedam, Lemnaouar; De Baets, Bernard. Compositions of ternary relations. Kybernetika, Tome 57 (2021) no. 3, pp. 404-425. doi : 10.14736/kyb-2021-3-0404. http://geodesic.mathdoc.fr/articles/10.14736/kyb-2021-3-0404/

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