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Traces of ternary relations based on Bandler–Kohout compositions

Lemnaouar Zedam (UGent) , Hamza Boughambouz and Bernard De Baets (UGent)
(2024) MATHEMATICS. 12(7).
Author
Organization
Abstract
Recently, we have introduced and studied all possible four-point compositions (one degree of freedom) and five-point compositions (two degrees of freedom) of ternary relations in analogy with the usual composition of binary relations. In this paper, we introduce and study new types of compositions of ternary relations inspired by the compositions of binary relations introduced by Bandler and Kohout (BK-compositions, for short). Moreover, we pay particular attention to the link between BK-compositions and the traces of binary relations and use it as source of inspiration to introduce traces of ternary relations. Moreover, we show that these new notions of BK-compositions and traces are useful tools to solve some relational equations in an unknown ternary relation.
Keywords
ternary relation, Bandler-Kohout compositions, traces

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MLA
Zedam, Lemnaouar, et al. “Traces of Ternary Relations Based on Bandler–Kohout Compositions.” MATHEMATICS, vol. 12, no. 7, 2024, doi:10.3390/math12070952.
APA
Zedam, L., Boughambouz, H., & De Baets, B. (2024). Traces of ternary relations based on Bandler–Kohout compositions. MATHEMATICS, 12(7). https://doi.org/10.3390/math12070952
Chicago author-date
Zedam, Lemnaouar, Hamza Boughambouz, and Bernard De Baets. 2024. “Traces of Ternary Relations Based on Bandler–Kohout Compositions.” MATHEMATICS 12 (7). https://doi.org/10.3390/math12070952.
Chicago author-date (all authors)
Zedam, Lemnaouar, Hamza Boughambouz, and Bernard De Baets. 2024. “Traces of Ternary Relations Based on Bandler–Kohout Compositions.” MATHEMATICS 12 (7). doi:10.3390/math12070952.
Vancouver
1.
Zedam L, Boughambouz H, De Baets B. Traces of ternary relations based on Bandler–Kohout compositions. MATHEMATICS. 2024;12(7).
IEEE
[1]
L. Zedam, H. Boughambouz, and B. De Baets, “Traces of ternary relations based on Bandler–Kohout compositions,” MATHEMATICS, vol. 12, no. 7, 2024.
@article{01HV17MF408YFBTTF9JKSBM1TN,
  abstract     = {{Recently, we have introduced and studied all possible four-point compositions (one degree of freedom) and five-point compositions (two degrees of freedom) of ternary relations in analogy with the usual composition of binary relations. In this paper, we introduce and study new types of compositions of ternary relations inspired by the compositions of binary relations introduced by Bandler and Kohout (BK-compositions, for short). Moreover, we pay particular attention to the link between BK-compositions and the traces of binary relations and use it as source of inspiration to introduce traces of ternary relations. Moreover, we show that these new notions of BK-compositions and traces are useful tools to solve some relational equations in an unknown ternary relation.}},
  articleno    = {{952}},
  author       = {{Zedam, Lemnaouar and Boughambouz, Hamza and De Baets, Bernard}},
  issn         = {{2227-7390}},
  journal      = {{MATHEMATICS}},
  keywords     = {{ternary relation,Bandler-Kohout compositions,traces}},
  language     = {{eng}},
  number       = {{7}},
  pages        = {{17}},
  title        = {{Traces of ternary relations based on Bandler–Kohout compositions}},
  url          = {{http://doi.org/10.3390/math12070952}},
  volume       = {{12}},
  year         = {{2024}},
}
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