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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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Advances in Fuzzy Systems |
| Online Access: | http://dx.doi.org/10.1155/2020/8824296 |
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| author | Fadhil Abbas |
| author_facet | Fadhil Abbas |
| author_sort | Fadhil Abbas |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-5afe02135fd64832b6e40a74a6046e3e |
| institution | Kabale University |
| issn | 1687-7101 1687-711X |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Fuzzy Systems |
| spelling | doaj-art-5afe02135fd64832b6e40a74a6046e3e2025-02-03T01:04:09ZengWileyAdvances in Fuzzy Systems1687-71011687-711X2020-01-01202010.1155/2020/88242968824296Fuzzy Ideal Supra Topological SpacesFadhil Abbas0Mathematic, Technical Sciences, Johannes Kepler University, 4040 Linz, AustriaIn 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.http://dx.doi.org/10.1155/2020/8824296 |
| spellingShingle | Fadhil Abbas Fuzzy Ideal Supra Topological Spaces Advances in Fuzzy Systems |
| title | Fuzzy Ideal Supra Topological Spaces |
| title_full | Fuzzy Ideal Supra Topological Spaces |
| title_fullStr | Fuzzy Ideal Supra Topological Spaces |
| title_full_unstemmed | Fuzzy Ideal Supra Topological Spaces |
| title_short | Fuzzy Ideal Supra Topological Spaces |
| title_sort | fuzzy ideal supra topological spaces |
| url | http://dx.doi.org/10.1155/2020/8824296 |
| work_keys_str_mv | AT fadhilabbas fuzzyidealsupratopologicalspaces |