A Novel Study Based on Fuzzy p-Ideals of BCI-Algebras
In this paper, we propose the concept of ∈,∈∨j∗,qj-fuzzy p-ideals in “BCI-algebras.” We show that “∈,∈∨q-fuzzy p-ideals” and “∈∨j∗,qj,∈∨j∗,qj-fuzzy p-ideals” are “∈,∈∨j∗,qj-fuzzy p-ideals.” However, the converse is not true, then presented examples. For a BCI-algebra Y^, it has been shown that every...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2023-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2023/9453596 |
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| author | G. Muhiuddin Nabilah Abughazalah A. Mahboob M. E. Elnair Abdullah G. Alotaibi |
| author_facet | G. Muhiuddin Nabilah Abughazalah A. Mahboob M. E. Elnair Abdullah G. Alotaibi |
| author_sort | G. Muhiuddin |
| collection | DOAJ |
| description | In this paper, we propose the concept of ∈,∈∨j∗,qj-fuzzy p-ideals in “BCI-algebras.” We show that “∈,∈∨q-fuzzy p-ideals” and “∈∨j∗,qj,∈∨j∗,qj-fuzzy p-ideals” are “∈,∈∨j∗,qj-fuzzy p-ideals.” However, the converse is not true, then presented examples. For a BCI-algebra Y^, it has been shown that every ∈,∈∨j∗,qj-fuzzy p-ideal of Y^ is an ∈,∈∨j∗,qj-fuzzy ideals of Y^but not conversely, and then, an example is given. Furthermore in Y^, a connection between ∈,∈∨j∗,qj-fuzzy p-ideals and p-ideals is established. |
| format | Article |
| id | doaj-art-2f0c629de8694484a70fefbf1210c46a |
| institution | Kabale University |
| issn | 2314-8888 |
| language | English |
| publishDate | 2023-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-2f0c629de8694484a70fefbf1210c46a2025-02-03T06:48:31ZengWileyJournal of Function Spaces2314-88882023-01-01202310.1155/2023/9453596A Novel Study Based on Fuzzy p-Ideals of BCI-AlgebrasG. Muhiuddin0Nabilah Abughazalah1A. Mahboob2M. E. Elnair3Abdullah G. Alotaibi4Department of MathematicsDepartment of Mathematical SciencesDepartment of MathematicsDepartment of MathematicsDepartment of MathematicsIn this paper, we propose the concept of ∈,∈∨j∗,qj-fuzzy p-ideals in “BCI-algebras.” We show that “∈,∈∨q-fuzzy p-ideals” and “∈∨j∗,qj,∈∨j∗,qj-fuzzy p-ideals” are “∈,∈∨j∗,qj-fuzzy p-ideals.” However, the converse is not true, then presented examples. For a BCI-algebra Y^, it has been shown that every ∈,∈∨j∗,qj-fuzzy p-ideal of Y^ is an ∈,∈∨j∗,qj-fuzzy ideals of Y^but not conversely, and then, an example is given. Furthermore in Y^, a connection between ∈,∈∨j∗,qj-fuzzy p-ideals and p-ideals is established.http://dx.doi.org/10.1155/2023/9453596 |
| spellingShingle | G. Muhiuddin Nabilah Abughazalah A. Mahboob M. E. Elnair Abdullah G. Alotaibi A Novel Study Based on Fuzzy p-Ideals of BCI-Algebras Journal of Function Spaces |
| title | A Novel Study Based on Fuzzy p-Ideals of BCI-Algebras |
| title_full | A Novel Study Based on Fuzzy p-Ideals of BCI-Algebras |
| title_fullStr | A Novel Study Based on Fuzzy p-Ideals of BCI-Algebras |
| title_full_unstemmed | A Novel Study Based on Fuzzy p-Ideals of BCI-Algebras |
| title_short | A Novel Study Based on Fuzzy p-Ideals of BCI-Algebras |
| title_sort | novel study based on fuzzy p ideals of bci algebras |
| url | http://dx.doi.org/10.1155/2023/9453596 |
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