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)

Sup-T Compositions of Partial Fuzzy Relations

Authors
Libor Běhounek, Martina Daňková
Corresponding Author
Martina Daňková
Available Online 30 August 2021.
DOI
https://doi.org/10.2991/asum.k.210827.004How to use a DOI?
Keywords
Partial fuzzy relation, Partial fuzzy set, Fuzzy relational composition, Sup-T product
Abstract

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.

Copyright
© 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/).

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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  - https://doi.org/10.2991/asum.k.210827.004
ID  - Běhounek2021
ER  -