Results 1 to 10 of about 52 (38)
On Fuzzy C-Paracompact Topological Spaces
Mathematics, 2022 The aim of this paper is to study fuzzy extensions of some covering properties defined by A. V. Arhangel’skii and studied by other authors. Indeed, in 2016, A. V.
Francisco Gallego Lupiáñez
doaj +5 more sources
Regularity and Paracompactness in Fuzzy Topological Spaces
International Journal of Analysis and Applications, 2023 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.
Francisco Gallego Lupianez
doaj +3 more sources
Regularity and Paracompactness: Relation in the Field of Fuzziness
Lecture Notes in Networks and Systems, 2023 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.
FRANCISCO Gallego Lupiañez
exaly +3 more sources
On some paracompactness-type properties of fuzzy topological spaces [PDF]
Soft Computing, 2019 The aim of this paper is to study some paracompactness-type properties for fuzzy topological spaces. We prove that these properties are good extensions of others defined by A.V. Arkhangel’skii (and studied by S.A. Peregudov) and obtain several results about them.
FRANCISCO Gallego Lupiañez
exaly +6 more sources
On the goodness of some types of fuzzy paracompactness in Sostak's fuzzy topology [PDF]
International Journal of Fuzzy Logic and Intelligent Systems, 2005 We introduce in Sostak’s fuzzy topological spaces definitions of paracompactness, almost paracompactness, and near paracompactness all of which turn to be good extensions of their classical topological counterparts. Fuzzy semi-paracompact, para S-closed and weakly paracompact spaces are treated to a similar approach.
S E Abbas
exaly +2 more sources
Paracompactness in fuzzy topological spaces
Journal of Mathematical Analysis and Applications, 1988 This paper introduces two different types of paracompactness in the setting of fuzzy spaces, both of which are good extensions and have pleasing properties.
Mao-Kang Luo
exaly +2 more sources
Maximal Soft Compact and Maximal Soft Connected Topologies
Applied Computational Intelligence and Soft Computing, Volume 2022, Issue 1, 2022., 2022 In various articles, it is said that the class of all soft topologies on a common universe forms a complete lattice, but in this paper, we prove that it is a complete lattice. Some soft topologies are maximal, and some are minimal with respect to specific soft topological properties. We study the properties of soft compact and soft connected topologies
Samer Al Ghour +2 more
wiley +1 more source
Complete Hausdorffness and Complete Regularity on Supra Topological Spaces
Journal of Applied Mathematics, Volume 2021, Issue 1, 2021., 2021 The supra topological topic is of great importance in preserving some topological properties under conditions weaker than topology and constructing a suitable framework to describe many real‐life problems. Herein, we introduce the version of complete Hausdorffness and complete regularity on supra topological spaces and discuss their fundamental ...
T. M. Al-shami, Dan Huang
wiley +1 more source
Journal of Mathematics, Volume 2020, Issue 1, 2020., 2020 In this paper, we define a weak type of soft Menger spaces, namely, nearly soft Menger spaces. We give their complete description using soft s‐regular open covers and prove that they coincide with soft Menger spaces in the class of soft regular ⋆ spaces.
Tareq M. Al-shami +2 more
wiley +1 more source
Fuzzy Ideal Supra Topological Spaces
Advances in Fuzzy Systems, Volume 2020, Issue 1, 2020., 2020 In this paper, we introduce the notion of fuzzy ideals in fuzzy supra topological spaces. The concept of a fuzzy s‐local function is also introduced here by utilizing the s‐neighbourhood structure for a fuzzy supra topological space. These concepts are discussed with a view to find new fuzzy supra topologies from the original one.
Fadhil Abbas, Antonin Dvorák
wiley +1 more source