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/).
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 -