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
Keywords: binary relation; ternary relation; relational compositions
@article{10_14736_kyb_2021_3_0404,
author = {Bakri, Norelhouda and Zedam, Lemnaouar and De Baets, Bernard},
title = {Compositions of ternary relations},
journal = {Kybernetika},
pages = {404--425},
publisher = {mathdoc},
volume = {57},
number = {3},
year = {2021},
doi = {10.14736/kyb-2021-3-0404},
mrnumber = {4299456},
zbl = {07442517},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.14736/kyb-2021-3-0404/}
}
TY - JOUR AU - Bakri, Norelhouda AU - Zedam, Lemnaouar AU - De Baets, Bernard TI - Compositions of ternary relations JO - Kybernetika PY - 2021 SP - 404 EP - 425 VL - 57 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.14736/kyb-2021-3-0404/ DO - 10.14736/kyb-2021-3-0404 LA - en ID - 10_14736_kyb_2021_3_0404 ER -
%0 Journal Article %A Bakri, Norelhouda %A Zedam, Lemnaouar %A De Baets, Bernard %T Compositions of ternary relations %J Kybernetika %D 2021 %P 404-425 %V 57 %N 3 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.14736/kyb-2021-3-0404/ %R 10.14736/kyb-2021-3-0404 %G en %F 10_14736_kyb_2021_3_0404
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
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