RT Book, Section
T1 Normality and Paracompactness in Fuzzy Topological Spaces
A1 Gallego Lupiáñez, Francisco
A2 Kahraman, Cengiz
A2 Cebi, Selcuk
A2 Oztaysi, Basar
A2 Onar, Sezi Cevik
A2 Tolga, Cagrı
A2 Sari, Irem Ucal
A2 Otay, Irem
AB The importance of paracompactness (and the concepts related to it) in the field of Topology is well known.In this paper we obtain two characterizations of normal fuzzy topological spaces using Luo’s and Abd El-Monsef and others’ paracompact fuzzy topological spaces. Thus, it shows that normality 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 complete regularity) as fuzzy covering properties.
PB Springer Nature Link
SN 9783031979842
SN 9783031979859
SN 2367-3370
SN 2367-3389
YR 2025
FD 2025
LK https://hdl.handle.net/20.500.14352/123674
UL https://hdl.handle.net/20.500.14352/123674
LA eng
NO Lupiáñez, F.G. Normality and Paracompactness in Fuzzy Topological Spaces. In: Kahraman, C., et al. Intelligent and Fuzzy Systems. INFUS 2025. Lecture Notes in Networks and Systems, vol 1528. Springer, Cham. 2025
NO Los datos de: Tipo de versión, Evaluado, Estado, y Derechos de acceso, corresponden a la versión (sin acceso abierto) publicada en el libro de la editorial Springer.
DS Docta Complutense
RD 31 dic 2025