Proceedings of the 11th Conference of the European Society for Fuzzy Logic and Technology (EUSFLAT 2019)

Transitivity properties of ternary fuzzy relations

Authors
Lemnaouar Zedam, Bernard De Baets
Corresponding Author
Lemnaouar Zedam
Available Online August 2019.
DOI
10.2991/eusflat-19.2019.105How to use a DOI?
Keywords
Fuzzy ternary relation Relational compositions Transitivity
Abstract

Recently, we have introduced six types of composition of crisp ternary relations. These compositions are close in spirit to the definition of the composition of binary relations. In this note, we extend these notions to the fuzzy setting. Based on these types of composition, we introduce several types of transitivity of a ternary fuzzy relation and investigate their properties.

Copyright
© 2019, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Download article (PDF)

Volume Title
Proceedings of the 11th Conference of the European Society for Fuzzy Logic and Technology (EUSFLAT 2019)
Series
Atlantis Studies in Uncertainty Modelling
Publication Date
August 2019
ISBN
10.2991/eusflat-19.2019.105
ISSN
2589-6644
DOI
10.2991/eusflat-19.2019.105How to use a DOI?
Copyright
© 2019, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

TY  - CONF
AU  - Lemnaouar Zedam
AU  - Bernard De Baets
PY  - 2019/08
DA  - 2019/08
TI  - Transitivity properties of ternary fuzzy relations
BT  - Proceedings of the 11th Conference of the European Society for Fuzzy Logic and Technology (EUSFLAT 2019)
PB  - Atlantis Press
SP  - 770
EP  - 775
SN  - 2589-6644
UR  - https://doi.org/10.2991/eusflat-19.2019.105
DO  - 10.2991/eusflat-19.2019.105
ID  - Zedam2019/08
ER  -