Generalizations of Fuzzy q-Ideals of BCI-Algebras
In this paper, we introduce the notion of ∈,∈∨κ∗,qκ-fuzzy q-ideals of BCI-algebras to propose a more general form of fuzzy q-ideals of BCI-algebras. We prove that ∈,∈∨q-fuzzy q-ideals and ∈∨κ∗,qκ,∈∨κ∗,qκ-fuzzy q-ideals are ∈,∈∨κ∗,qκ-fuzzy q-ideals, but the converse assertion is not valid and example...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2022/2388199 |
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| author | G. Muhiuddin D. Al-Kadi A. Mahboob A. Assiry Abdullah Alsubhi |
| author_facet | G. Muhiuddin D. Al-Kadi A. Mahboob A. Assiry Abdullah Alsubhi |
| author_sort | G. Muhiuddin |
| collection | DOAJ |
| description | In this paper, we introduce the notion of ∈,∈∨κ∗,qκ-fuzzy q-ideals of BCI-algebras to propose a more general form of fuzzy q-ideals of BCI-algebras. We prove that ∈,∈∨q-fuzzy q-ideals and ∈∨κ∗,qκ,∈∨κ∗,qκ-fuzzy q-ideals are ∈,∈∨κ∗,qκ-fuzzy q-ideals, but the converse assertion is not valid and examples are given to support this. It is proved that every ∈,∈∨κ∗,qκ-fuzzy q-ideal is an ∈,∈∨κ∗,qκ-fuzzy ideal, but the converse need not be true in general and an example is provided. In addition, correspondence between ∈,∈∨κ∗,qκ-fuzzy q-ideals and q-ideals of BCI-algebras is considered. |
| format | Article |
| id | doaj-art-71d75a678ff948119045c951d7fa539a |
| institution | Kabale University |
| issn | 2314-4785 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-71d75a678ff948119045c951d7fa539a2025-02-03T05:50:04ZengWileyJournal of Mathematics2314-47852022-01-01202210.1155/2022/2388199Generalizations of Fuzzy q-Ideals of BCI-AlgebrasG. Muhiuddin0D. Al-Kadi1A. Mahboob2A. Assiry3Abdullah Alsubhi4Department of MathematicsDepartment of Mathematics and StatisticDepartment of MathematicsDepartment of Mathematical SciencesDepartment of MathematicsIn this paper, we introduce the notion of ∈,∈∨κ∗,qκ-fuzzy q-ideals of BCI-algebras to propose a more general form of fuzzy q-ideals of BCI-algebras. We prove that ∈,∈∨q-fuzzy q-ideals and ∈∨κ∗,qκ,∈∨κ∗,qκ-fuzzy q-ideals are ∈,∈∨κ∗,qκ-fuzzy q-ideals, but the converse assertion is not valid and examples are given to support this. It is proved that every ∈,∈∨κ∗,qκ-fuzzy q-ideal is an ∈,∈∨κ∗,qκ-fuzzy ideal, but the converse need not be true in general and an example is provided. In addition, correspondence between ∈,∈∨κ∗,qκ-fuzzy q-ideals and q-ideals of BCI-algebras is considered.http://dx.doi.org/10.1155/2022/2388199 |
| spellingShingle | G. Muhiuddin D. Al-Kadi A. Mahboob A. Assiry Abdullah Alsubhi Generalizations of Fuzzy q-Ideals of BCI-Algebras Journal of Mathematics |
| title | Generalizations of Fuzzy q-Ideals of BCI-Algebras |
| title_full | Generalizations of Fuzzy q-Ideals of BCI-Algebras |
| title_fullStr | Generalizations of Fuzzy q-Ideals of BCI-Algebras |
| title_full_unstemmed | Generalizations of Fuzzy q-Ideals of BCI-Algebras |
| title_short | Generalizations of Fuzzy q-Ideals of BCI-Algebras |
| title_sort | generalizations of fuzzy q ideals of bci algebras |
| url | http://dx.doi.org/10.1155/2022/2388199 |
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