Fuzzy Ideal Supra Topological Spaces

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 t...

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Bibliographic Details
Published in:Advances in fuzzy systems 2020, Vol.2020 (2020), p.1-10
Main Author: Abbas, Fadhil
Format: Article
Language:English
Subjects:
Continuity (mathematics)
Fuzzy sets
Investigations
Operators (mathematics)
Set theory
Topology
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Summary: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. The basic structure, especially a basis for such generated fuzzy supra topologies, and several relations between different fuzzy ideals and fuzzy supra topologies are also studied here. Moreover, we introduce a fuzzy set operator ΨS and study its properties. Finally, we introduce some sets of fuzzy ideal supra topological spaces (fuzzy ∗-supra dense-in-itself sets, fuzzy S∗-supra closedsets, fuzzy ∗-supra perfect sets, fuzzy regular-I-supra closedsets, fuzzy-I-supra opensets, fuzzy semi-I-supra opensets, fuzzy pre-I-supra opensets, fuzzy α-I-supra opensets, and fuzzy β-I-supra opensets) and study some characteristics of these sets, and then, we introduce some fuzzy ideal supra continuous functions.
ISSN:1687-7101
1687-711X
DOI:10.1155/2020/8824296