Gallego Lupiáñez, FranciscoKahraman, CengizSari, Irem UcalOztaysi, BasarCebi, SelcukOnar, Sezi CevikTolga, A. Çagri2023-11-152023-11-152023Lupiáñez, 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_8.978-3-031-39774-510.1007/978-3-031-39774-5_8https://hdl.handle.net/20.500.14352/88724In 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.engbook parthttps://doi.org/10.1007/978-3-031-39774-5_8open access515.1TopologySeparation propertiesFuzzy setsCovering propertiesFuzzy paracompactnessTopología1210 Topología