Sup-T Compositions of Partial Fuzzy Relations
- 10.2991/asum.k.210827.004How to use a DOI?
- Partial fuzzy relation, Partial fuzzy set, Fuzzy relational composition, Sup-T product
We present basic properties of the operation of sup-T composition of partial fuzzy relations, i.e., fuzzy relations defined on arbitrary subsets of the Cartesian square of the referential set. We show that for partial fuzzy relations, these properties are fairly similar to those for totally defined fuzzy relations. Furthermore, we show that the studied elementary properties of sup-T composition of partial fuzzy relations carry over to several composition-related operations on partial fuzzy relations and partial fuzzy sets, including the operations of image, preimage, and Cartesian product.
- © 2021, 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 - Libor Běhounek AU - Martina Daňková PY - 2021 DA - 2021/08/30 TI - Sup-T Compositions of Partial Fuzzy Relations BT - Joint Proceedings of the 19th World Congress of the International Fuzzy Systems Association (IFSA), the 12th Conference of the European Society for Fuzzy Logic and Technology (EUSFLAT), and the 11th International Summer School on Aggregation Operators (AGOP) PB - Atlantis Press SP - 24 EP - 31 SN - 2589-6644 UR - https://doi.org/10.2991/asum.k.210827.004 DO - 10.2991/asum.k.210827.004 ID - Běhounek2021 ER -