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...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2021-01-01
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| Series: | Mathematical Problems in Engineering |
| Online Access: | http://dx.doi.org/10.1155/2021/9917947 |
| Summary: | 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. |
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| ISSN: | 1563-5147 |