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Displaying similar documents to “Several aspects on the hypergroups associated with n -ary relations.”

Compositions of ternary relations

Norelhouda Bakri, Lemnaouar Zedam, Bernard De Baets (2021)

Kybernetika

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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.

A factorization of quasiorder hypergroups

Ivan Chajda, Šárka Hošková (2004)

Commentationes Mathematicae Universitatis Carolinae

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The contribution is devoted to the question of the interchange of the construction of a quasiorder hypergroup from a quasiordered set and the factorization.

Binary and ternary relations

Vítězslav Novák, Miroslav Novotný (1992)

Mathematica Bohemica

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Two operators are constructed which make it possible to transform ternary relations into binary relations defined on binary relations and vice versa. A possible graphical representation of ternary relations is described.