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)

Closure Systems as a Fuzzy Extension of Meet-subsemilattices

Authors
Manuel Ojeda-Hernández, Inma P. Cabrera, Pablo Cordero, Emilio Muñoz-Velasco
Corresponding Author
Manuel Ojeda-Hernández
Available Online 30 August 2021.
DOI
https://doi.org/10.2991/asum.k.210827.006How to use a DOI?
Abstract

An extension of the notion of closure system is studied adapting the idea of meet-subsemilattice to a complete fuzzy lattice. Results relating closure operators and closure systems in the classical case are extended properly to this framework. This definition is proved to be equivalent to the most used definition given by Bělohlávek on the fuzzy powerset lattice. A definition of fuzzy closure system is presented and related to closure systems.

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  - Manuel Ojeda-Hernández
AU  - Inma P. Cabrera
AU  - Pablo Cordero
AU  - Emilio Muñoz-Velasco
PY  - 2021
DA  - 2021/08/30
TI  - Closure Systems as a Fuzzy Extension of Meet-subsemilattices
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  - 40
EP  - 47
SN  - 2589-6644
UR  - https://doi.org/10.2991/asum.k.210827.006
DO  - https://doi.org/10.2991/asum.k.210827.006
ID  - Ojeda-Hernández2021
ER  -