Approximations of ∈,∈∨qk-Fuzzy Hyperideals in Ordered LA-Semihypergroups
This paper concerns the relationship between rough sets, ∈,∈∨qk-fuzzy sets, and the LA-semihypergroups. We proved that the lower approximation (l-approx) and the upper approximation (u-approx) of different hyperideals of LA-semihypergroups become again hyperideal and also provided some examples. We...
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| Format: | Article |
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Hindawi Limited
2021-01-01
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| Series: | Mathematical Problems in Engineering |
| Online Access: | http://dx.doi.org/10.1155/2021/9917947 |
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doaj-a55b022536884186abc66ac381ee41b62021-05-17T00:01:07ZengHindawi LimitedMathematical Problems in Engineering1563-51472021-01-01202110.1155/2021/9917947Approximations of ∈,∈∨qk-Fuzzy Hyperideals in Ordered LA-SemihypergroupsNabilah Abughazalah0Naveed Yaqoob1Samavia Ashraf2Mathematical Sciences DepartmentDepartment of Mathematics and StatisticsDepartment of Mathematics and StatisticsThis paper concerns the relationship between rough sets, ∈,∈∨qk-fuzzy sets, and the LA-semihypergroups. We proved that the lower approximation (l-approx) and the upper approximation (u-approx) of different hyperideals of LA-semihypergroups become again hyperideal and also provided some examples. We also provided a result which shows that, if ϑ is not a hyperideal of an LA-semihypergroup P, then its lower approximation is also not a hyperideal.http://dx.doi.org/10.1155/2021/9917947 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Nabilah Abughazalah Naveed Yaqoob Samavia Ashraf |
| spellingShingle |
Nabilah Abughazalah Naveed Yaqoob Samavia Ashraf Approximations of ∈,∈∨qk-Fuzzy Hyperideals in Ordered LA-Semihypergroups Mathematical Problems in Engineering |
| author_facet |
Nabilah Abughazalah Naveed Yaqoob Samavia Ashraf |
| author_sort |
Nabilah Abughazalah |
| title |
Approximations of ∈,∈∨qk-Fuzzy Hyperideals in Ordered LA-Semihypergroups |
| title_short |
Approximations of ∈,∈∨qk-Fuzzy Hyperideals in Ordered LA-Semihypergroups |
| title_full |
Approximations of ∈,∈∨qk-Fuzzy Hyperideals in Ordered LA-Semihypergroups |
| title_fullStr |
Approximations of ∈,∈∨qk-Fuzzy Hyperideals in Ordered LA-Semihypergroups |
| title_full_unstemmed |
Approximations of ∈,∈∨qk-Fuzzy Hyperideals in Ordered LA-Semihypergroups |
| title_sort |
approximations of ∈,∈∨qk-fuzzy hyperideals in ordered la-semihypergroups |
| publisher |
Hindawi Limited |
| series |
Mathematical Problems in Engineering |
| issn |
1563-5147 |
| publishDate |
2021-01-01 |
| description |
This paper concerns the relationship between rough sets, ∈,∈∨qk-fuzzy sets, and the LA-semihypergroups. We proved that the lower approximation (l-approx) and the upper approximation (u-approx) of different hyperideals of LA-semihypergroups become again hyperideal and also provided some examples. We also provided a result which shows that, if ϑ is not a hyperideal of an LA-semihypergroup P, then its lower approximation is also not a hyperideal. |
| url |
http://dx.doi.org/10.1155/2021/9917947 |
| work_keys_str_mv |
AT nabilahabughazalah approximationsofqkfuzzyhyperidealsinorderedlasemihypergroups AT naveedyaqoob approximationsofqkfuzzyhyperidealsinorderedlasemihypergroups AT samaviaashraf approximationsofqkfuzzyhyperidealsinorderedlasemihypergroups |
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