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Compositions of ternary relations

Norelhouda Bakri, Lemnaouar Zedam and Bernard De Baets (UGent)
(2021) KYBERNETIKA. 57(3). p.404-425
Author
Organization
Abstract
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.
Keywords
binary relation, ternary relation, relational compositions, FUZZY, TRACES

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MLA
Bakri, Norelhouda, et al. “Compositions of Ternary Relations.” KYBERNETIKA, vol. 57, no. 3, 2021, pp. 404–25, doi:10.14736/kyb-2021-3-0404.
APA
Bakri, N., Zedam, L., & De Baets, B. (2021). Compositions of ternary relations. KYBERNETIKA, 57(3), 404–425. https://doi.org/10.14736/kyb-2021-3-0404
Chicago author-date
Bakri, Norelhouda, Lemnaouar Zedam, and Bernard De Baets. 2021. “Compositions of Ternary Relations.” KYBERNETIKA 57 (3): 404–25. https://doi.org/10.14736/kyb-2021-3-0404.
Chicago author-date (all authors)
Bakri, Norelhouda, Lemnaouar Zedam, and Bernard De Baets. 2021. “Compositions of Ternary Relations.” KYBERNETIKA 57 (3): 404–425. doi:10.14736/kyb-2021-3-0404.
Vancouver
1.
Bakri N, Zedam L, De Baets B. Compositions of ternary relations. KYBERNETIKA. 2021;57(3):404–25.
IEEE
[1]
N. Bakri, L. Zedam, and B. De Baets, “Compositions of ternary relations,” KYBERNETIKA, vol. 57, no. 3, pp. 404–425, 2021.
@article{8725564,
  abstract     = {{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.}},
  author       = {{Bakri, Norelhouda and Zedam, Lemnaouar and De Baets, Bernard}},
  issn         = {{0023-5954}},
  journal      = {{KYBERNETIKA}},
  keywords     = {{binary relation,ternary relation,relational compositions,FUZZY,TRACES}},
  language     = {{eng}},
  number       = {{3}},
  pages        = {{404--425}},
  title        = {{Compositions of ternary relations}},
  url          = {{http://doi.org/10.14736/kyb-2021-3-0404}},
  volume       = {{57}},
  year         = {{2021}},
}
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