Separation Axioms of Interval-Valued Fuzzy Soft Topology via Quasi-Neighborhood Structure
In this study, we present the concept of the interval-valued fuzzy soft point and then introduce the notions of its neighborhood and quasi-neighborhood in interval-valued fuzzy soft topological spaces. Separation axioms in an interval-valued fuzzy soft topology, so-called <i>q</i>-<in...
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MDPI AG
2020-02-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/8/2/178 |
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| author | Mabruka Ali Adem Kılıçman Azadeh Zahedi Khameneh |
| author_facet | Mabruka Ali Adem Kılıçman Azadeh Zahedi Khameneh |
| author_sort | Mabruka Ali |
| collection | DOAJ |
| description | In this study, we present the concept of the interval-valued fuzzy soft point and then introduce the notions of its neighborhood and quasi-neighborhood in interval-valued fuzzy soft topological spaces. Separation axioms in an interval-valued fuzzy soft topology, so-called <i>q</i>-<inline-formula> <math display="inline"> <semantics> <msub> <mi>T</mi> <mi>i</mi> </msub> </semantics> </math> </inline-formula> for <inline-formula> <math display="inline"> <semantics> <mrow> <mi>i</mi> <mo>=</mo> <mn>0</mn> <mo>,</mo> <mn>1</mn> <mo>,</mo> <mn>2</mn> <mo>,</mo> <mn>3</mn> <mo>,</mo> <mn>4</mn> </mrow> </semantics> </math> </inline-formula>, are introduced, and some of their basic properties are also studied. |
| first_indexed | 2024-12-19T07:12:12Z |
| format | Article |
| id | doaj.art-3eaf881936b6433b8f4d697b02a3e637 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-12-19T07:12:12Z |
| publishDate | 2020-02-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-3eaf881936b6433b8f4d697b02a3e6372022-12-21T20:31:09ZengMDPI AGMathematics2227-73902020-02-018217810.3390/math8020178math8020178Separation Axioms of Interval-Valued Fuzzy Soft Topology via Quasi-Neighborhood StructureMabruka Ali0Adem Kılıçman1Azadeh Zahedi Khameneh2Department of Mathematics, University Putra Malaysia, Serdang 43400 UPM, Selangor, MalaysiaDepartment of Mathematics, University Putra Malaysia, Serdang 43400 UPM, Selangor, MalaysiaDepartment of Mathematics, University Putra Malaysia, Serdang 43400 UPM, Selangor, MalaysiaIn this study, we present the concept of the interval-valued fuzzy soft point and then introduce the notions of its neighborhood and quasi-neighborhood in interval-valued fuzzy soft topological spaces. Separation axioms in an interval-valued fuzzy soft topology, so-called <i>q</i>-<inline-formula> <math display="inline"> <semantics> <msub> <mi>T</mi> <mi>i</mi> </msub> </semantics> </math> </inline-formula> for <inline-formula> <math display="inline"> <semantics> <mrow> <mi>i</mi> <mo>=</mo> <mn>0</mn> <mo>,</mo> <mn>1</mn> <mo>,</mo> <mn>2</mn> <mo>,</mo> <mn>3</mn> <mo>,</mo> <mn>4</mn> </mrow> </semantics> </math> </inline-formula>, are introduced, and some of their basic properties are also studied.https://www.mdpi.com/2227-7390/8/2/178interval-valued fuzzy soft setinterval-valued fuzzy soft topologyinterval-valued fuzzy soft pointinterval-valued fuzzy soft neighborhoodinterval-valued fuzzy soft quasi-neighborhoodinterval-valued fuzzy soft separation axioms |
| spellingShingle | Mabruka Ali Adem Kılıçman Azadeh Zahedi Khameneh Separation Axioms of Interval-Valued Fuzzy Soft Topology via Quasi-Neighborhood Structure Mathematics interval-valued fuzzy soft set interval-valued fuzzy soft topology interval-valued fuzzy soft point interval-valued fuzzy soft neighborhood interval-valued fuzzy soft quasi-neighborhood interval-valued fuzzy soft separation axioms |
| title | Separation Axioms of Interval-Valued Fuzzy Soft Topology via Quasi-Neighborhood Structure |
| title_full | Separation Axioms of Interval-Valued Fuzzy Soft Topology via Quasi-Neighborhood Structure |
| title_fullStr | Separation Axioms of Interval-Valued Fuzzy Soft Topology via Quasi-Neighborhood Structure |
| title_full_unstemmed | Separation Axioms of Interval-Valued Fuzzy Soft Topology via Quasi-Neighborhood Structure |
| title_short | Separation Axioms of Interval-Valued Fuzzy Soft Topology via Quasi-Neighborhood Structure |
| title_sort | separation axioms of interval valued fuzzy soft topology via quasi neighborhood structure |
| topic | interval-valued fuzzy soft set interval-valued fuzzy soft topology interval-valued fuzzy soft point interval-valued fuzzy soft neighborhood interval-valued fuzzy soft quasi-neighborhood interval-valued fuzzy soft separation axioms |
| url | https://www.mdpi.com/2227-7390/8/2/178 |
| work_keys_str_mv | AT mabrukaali separationaxiomsofintervalvaluedfuzzysofttopologyviaquasineighborhoodstructure AT ademkılıcman separationaxiomsofintervalvaluedfuzzysofttopologyviaquasineighborhoodstructure AT azadehzahedikhameneh separationaxiomsofintervalvaluedfuzzysofttopologyviaquasineighborhoodstructure |