On Intuitionistic Fuzzy PMS-Ideals of a PMS-Algebra Under Homomorphism and Cartesian Product
Abstract In this paper, we use the concept of an intuitionistic fuzzy set to PMS-ideals in PMS-algebras. We discuss the notion of intuitionistic fuzzy PMS-ideals under homomorphism and Cartesian product and investigate several related properties. The homomorphism of an intuitionistic fuzzy PMS-ideal...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Springer
2023-05-01
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| Series: | International Journal of Computational Intelligence Systems |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/s44196-023-00242-5 |
| _version_ | 1797831916691390464 |
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| author | Berhanu Assaye Alaba Beza Lamesgin Derseh Yohannes Gedamu Wondifraw |
| author_facet | Berhanu Assaye Alaba Beza Lamesgin Derseh Yohannes Gedamu Wondifraw |
| author_sort | Berhanu Assaye Alaba |
| collection | DOAJ |
| description | Abstract In this paper, we use the concept of an intuitionistic fuzzy set to PMS-ideals in PMS-algebras. We discuss the notion of intuitionistic fuzzy PMS-ideals under homomorphism and Cartesian product and investigate several related properties. The homomorphism of an intuitionistic fuzzy PMS-ideal of a PMS-algebra is studied, and its homomorphic image and inverse image are investigated. The Cartesian product of any two intuitionistic fuzzy PMS-ideals is discussed, and some related results are obtained. The Cartesian product of the intuitionistic fuzzy PMS-ideals is characterized in terms of their level sets. Finally, we discuss the concept of the strongest intuitionistic fuzzy relations on an intuitionistic fuzzy PMS-ideal of a PMS-algebra and investigate the relationships between the strongest intuitionistic fuzzy relations and the intuitionistic fuzzy PMS-ideals. |
| first_indexed | 2024-04-09T14:00:31Z |
| format | Article |
| id | doaj.art-e1f6130898194bb1908860db532f1974 |
| institution | Directory Open Access Journal |
| issn | 1875-6883 |
| language | English |
| last_indexed | 2024-04-09T14:00:31Z |
| publishDate | 2023-05-01 |
| publisher | Springer |
| record_format | Article |
| series | International Journal of Computational Intelligence Systems |
| spelling | doaj.art-e1f6130898194bb1908860db532f19742023-05-07T11:23:23ZengSpringerInternational Journal of Computational Intelligence Systems1875-68832023-05-0116111310.1007/s44196-023-00242-5On Intuitionistic Fuzzy PMS-Ideals of a PMS-Algebra Under Homomorphism and Cartesian ProductBerhanu Assaye Alaba0Beza Lamesgin Derseh1Yohannes Gedamu Wondifraw2Department of Mathematics, College of Science, Bahir Dar UniversityDepartment of Mathematics, College of Science, Bahir Dar UniversityDepartment of Mathematics, College of Science, Bahir Dar UniversityAbstract In this paper, we use the concept of an intuitionistic fuzzy set to PMS-ideals in PMS-algebras. We discuss the notion of intuitionistic fuzzy PMS-ideals under homomorphism and Cartesian product and investigate several related properties. The homomorphism of an intuitionistic fuzzy PMS-ideal of a PMS-algebra is studied, and its homomorphic image and inverse image are investigated. The Cartesian product of any two intuitionistic fuzzy PMS-ideals is discussed, and some related results are obtained. The Cartesian product of the intuitionistic fuzzy PMS-ideals is characterized in terms of their level sets. Finally, we discuss the concept of the strongest intuitionistic fuzzy relations on an intuitionistic fuzzy PMS-ideal of a PMS-algebra and investigate the relationships between the strongest intuitionistic fuzzy relations and the intuitionistic fuzzy PMS-ideals.https://doi.org/10.1007/s44196-023-00242-5PMS-algebraPMS-idealIntuitionistic fuzzy setIntuitionistic fuzzy PMS-idealHomomorphism of intuitionistic fuzzy PMS-idealCartesian product of intuitionistic fuzzy PMS-ideals and the strongest intuitionistic fuzzy relation |
| spellingShingle | Berhanu Assaye Alaba Beza Lamesgin Derseh Yohannes Gedamu Wondifraw On Intuitionistic Fuzzy PMS-Ideals of a PMS-Algebra Under Homomorphism and Cartesian Product International Journal of Computational Intelligence Systems PMS-algebra PMS-ideal Intuitionistic fuzzy set Intuitionistic fuzzy PMS-ideal Homomorphism of intuitionistic fuzzy PMS-ideal Cartesian product of intuitionistic fuzzy PMS-ideals and the strongest intuitionistic fuzzy relation |
| title | On Intuitionistic Fuzzy PMS-Ideals of a PMS-Algebra Under Homomorphism and Cartesian Product |
| title_full | On Intuitionistic Fuzzy PMS-Ideals of a PMS-Algebra Under Homomorphism and Cartesian Product |
| title_fullStr | On Intuitionistic Fuzzy PMS-Ideals of a PMS-Algebra Under Homomorphism and Cartesian Product |
| title_full_unstemmed | On Intuitionistic Fuzzy PMS-Ideals of a PMS-Algebra Under Homomorphism and Cartesian Product |
| title_short | On Intuitionistic Fuzzy PMS-Ideals of a PMS-Algebra Under Homomorphism and Cartesian Product |
| title_sort | on intuitionistic fuzzy pms ideals of a pms algebra under homomorphism and cartesian product |
| topic | PMS-algebra PMS-ideal Intuitionistic fuzzy set Intuitionistic fuzzy PMS-ideal Homomorphism of intuitionistic fuzzy PMS-ideal Cartesian product of intuitionistic fuzzy PMS-ideals and the strongest intuitionistic fuzzy relation |
| url | https://doi.org/10.1007/s44196-023-00242-5 |
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