2026-06-01T02:02:23Zhttps://docta.ucm.es/rest/oai/requestoai:docta.ucm.es:20.500.14352/887242025-04-03T00:16:09Zcom_20.500.14352_14col_20.500.14352_21
Regularity and paracompactness: relation in the field of fuzziness
Gallego Lupiáñez, Francisco
Kahraman, Cengiz
Sari, Irem Ucal
Oztaysi, Basar
Cebi, Selcuk
Onar, Sezi Cevik
Tolga, A. Çagri
515.1
Topology
Separation properties
Fuzzy sets
Covering properties
Fuzzy paracompactness
Topología
1210 Topología
In this paper we obtain two characterizations of regular fuzzy topological spaces using Luo's and Abd El-Monsef and others’ paracompact fuzzy topological spaces. Thus, it shows that regularity of fuzzy topological spaces can be considered as a paracompact-type property with several kinds of paracompact fuzzy topological spaces. Indeed, we prove that for a fuzzy Hausdorff fuzzy topological space (in any of Wuyts and Lowen’s definitions that are good extensions of Hausdorffness) there is a characterization using Luo’s paracompact fuzzy topological spaces, and also another result with a characterization using definition due to Abd El-Monsef, Zeyada, El-Deeb, and Hanafy. This supposes a stimulus for further investigations, tending to obtain characterizations of other fuzzy separation properties (for example fuzzy normality, fuzzy complete regularity,..) as fuzzy covering properties.
Depto. de Álgebra, Geometría y Topología
Fac. de Ciencias Matemáticas
FALSE
pub
2023-11-15T10:01:43Z
2023-11-15T10:01:43Z
2023
book part
AM
https://hdl.handle.net/20.500.14352/88724
XXXX-XXXX
10.1007/978-3-031-39774-5_8
eng
Lecture Notes in Networks and Systems, vol 758.
Lupiáñez, Francisco Gallego. «Regularity and Paracompactness: Relation in the Field of Fuzziness». Intelligent and Fuzzy Systems, editado por Cengiz Kahraman et al., vol. 758, Springer Nature Switzerland, 2023, pp. 65-68. https://doi.org/10.1007/978-3-031-39774-5_8.
open access
application/pdf
Springer