Fuzzy Soft Topology Based on Generalized Intersection and Generalized Union of Fuzzy Soft Sets
In this study, the generalized intersection and union operations of fuzzy soft set (FSS) are established on the basis of traditional FSS operations, which overcome the shortcomings of traditional FSS operations that do not meet De Morgan’s law, and a series of properties of generalized intersection...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2021-01-01
|
| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2021/4760733 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832565749025079296 |
|---|---|
| author | Jingshui Ping Guangming Xue |
| author_facet | Jingshui Ping Guangming Xue |
| author_sort | Jingshui Ping |
| collection | DOAJ |
| description | In this study, the generalized intersection and union operations of fuzzy soft set (FSS) are established on the basis of traditional FSS operations, which overcome the shortcomings of traditional FSS operations that do not meet De Morgan’s law, and a series of properties of generalized intersection and union operations of FSS are obtained. The fuzzy soft topology under generalized intersection and generalized union operation of FSSs is established. Finally, the topological construction of weak FSS and strong FSS is discussed, and the relationship between them and the topological construction of traditional FSS is obtained. |
| format | Article |
| id | doaj-art-db1e488311514a02a8e4fad2b58ae5e4 |
| institution | Kabale University |
| issn | 2314-4785 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-db1e488311514a02a8e4fad2b58ae5e42025-02-03T01:06:48ZengWileyJournal of Mathematics2314-47852021-01-01202110.1155/2021/4760733Fuzzy Soft Topology Based on Generalized Intersection and Generalized Union of Fuzzy Soft SetsJingshui Ping0Guangming Xue1School of Finance and MathematicsSchool of Information and StatisticsIn this study, the generalized intersection and union operations of fuzzy soft set (FSS) are established on the basis of traditional FSS operations, which overcome the shortcomings of traditional FSS operations that do not meet De Morgan’s law, and a series of properties of generalized intersection and union operations of FSS are obtained. The fuzzy soft topology under generalized intersection and generalized union operation of FSSs is established. Finally, the topological construction of weak FSS and strong FSS is discussed, and the relationship between them and the topological construction of traditional FSS is obtained.http://dx.doi.org/10.1155/2021/4760733 |
| spellingShingle | Jingshui Ping Guangming Xue Fuzzy Soft Topology Based on Generalized Intersection and Generalized Union of Fuzzy Soft Sets Journal of Mathematics |
| title | Fuzzy Soft Topology Based on Generalized Intersection and Generalized Union of Fuzzy Soft Sets |
| title_full | Fuzzy Soft Topology Based on Generalized Intersection and Generalized Union of Fuzzy Soft Sets |
| title_fullStr | Fuzzy Soft Topology Based on Generalized Intersection and Generalized Union of Fuzzy Soft Sets |
| title_full_unstemmed | Fuzzy Soft Topology Based on Generalized Intersection and Generalized Union of Fuzzy Soft Sets |
| title_short | Fuzzy Soft Topology Based on Generalized Intersection and Generalized Union of Fuzzy Soft Sets |
| title_sort | fuzzy soft topology based on generalized intersection and generalized union of fuzzy soft sets |
| url | http://dx.doi.org/10.1155/2021/4760733 |
| work_keys_str_mv | AT jingshuiping fuzzysofttopologybasedongeneralizedintersectionandgeneralizedunionoffuzzysoftsets AT guangmingxue fuzzysofttopologybasedongeneralizedintersectionandgeneralizedunionoffuzzysoftsets |