Compositions of ternary relations

Norelhouda Bakri; Lemnaouar Zedam; Bernard De Baets

Kybernetika (2021)

  • Volume: 57, Issue: 3, page 404-425
  • ISSN: 0023-5954

Abstract

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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.

How to cite

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Bakri, Norelhouda, Zedam, Lemnaouar, and De Baets, Bernard. "Compositions of ternary relations." Kybernetika 57.3 (2021): 404-425. <http://eudml.org/doc/297640>.

@article{Bakri2021,
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, Zedam, Lemnaouar, De Baets, Bernard},
journal = {Kybernetika},
keywords = {binary relation; ternary relation; relational compositions},
language = {eng},
number = {3},
pages = {404-425},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Compositions of ternary relations},
url = {http://eudml.org/doc/297640},
volume = {57},
year = {2021},
}

TY - JOUR
AU - Bakri, Norelhouda
AU - Zedam, Lemnaouar
AU - De Baets, Bernard
TI - Compositions of ternary relations
JO - Kybernetika
PY - 2021
PB - Institute of Information Theory and Automation AS CR
VL - 57
IS - 3
SP - 404
EP - 425
AB - 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.
LA - eng
KW - binary relation; ternary relation; relational compositions
UR - http://eudml.org/doc/297640
ER -

References

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