Ordered Left Almost ⋇-Semihypergroups Based on Fuzzy Sets
The concept of an involution or anti-involution is a self-inverse linear mapping that plays a prominent role in the theory of algebraic structures, particularly rings, hyperrings, ordered semigroups, and ordered semihypergroups. Nowadays, the study of involutions in ordered hyperstructures is a part...
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| Format: | Article |
| Language: | English |
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Wiley
2024-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2024/4669760 |
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| author | Nabilah Abughazalah Naveed Yaqoob |
| author_facet | Nabilah Abughazalah Naveed Yaqoob |
| author_sort | Nabilah Abughazalah |
| collection | DOAJ |
| description | The concept of an involution or anti-involution is a self-inverse linear mapping that plays a prominent role in the theory of algebraic structures, particularly rings, hyperrings, ordered semigroups, and ordered semihypergroups. Nowadays, the study of involutions in ordered hyperstructures is a particular area of research in the field of hyperstructure theory, especially in ordered hyperstructures. In this research, we apply the concept of fuzzy sets to anti-involution hyperideals of ordered anti-involution LA-semihypergroups. We shall propose the mathematical formulation of fuzzy anti-involution hyperideals in ordered anti-involution LA-semihypergroups and provide some examples. This concept is a novel extension of fuzzy involution ordered semigroups. |
| format | Article |
| id | doaj-art-1b7f0fd8217845ae9fa8e3f1e2fa08f6 |
| institution | Kabale University |
| issn | 2314-4785 |
| language | English |
| publishDate | 2024-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-1b7f0fd8217845ae9fa8e3f1e2fa08f62025-08-20T03:54:23ZengWileyJournal of Mathematics2314-47852024-01-01202410.1155/2024/4669760Ordered Left Almost ⋇-Semihypergroups Based on Fuzzy SetsNabilah Abughazalah0Naveed Yaqoob1Department of Mathematical SciencesDepartment of Mathematics and StatisticsThe concept of an involution or anti-involution is a self-inverse linear mapping that plays a prominent role in the theory of algebraic structures, particularly rings, hyperrings, ordered semigroups, and ordered semihypergroups. Nowadays, the study of involutions in ordered hyperstructures is a particular area of research in the field of hyperstructure theory, especially in ordered hyperstructures. In this research, we apply the concept of fuzzy sets to anti-involution hyperideals of ordered anti-involution LA-semihypergroups. We shall propose the mathematical formulation of fuzzy anti-involution hyperideals in ordered anti-involution LA-semihypergroups and provide some examples. This concept is a novel extension of fuzzy involution ordered semigroups.http://dx.doi.org/10.1155/2024/4669760 |
| spellingShingle | Nabilah Abughazalah Naveed Yaqoob Ordered Left Almost ⋇-Semihypergroups Based on Fuzzy Sets Journal of Mathematics |
| title | Ordered Left Almost ⋇-Semihypergroups Based on Fuzzy Sets |
| title_full | Ordered Left Almost ⋇-Semihypergroups Based on Fuzzy Sets |
| title_fullStr | Ordered Left Almost ⋇-Semihypergroups Based on Fuzzy Sets |
| title_full_unstemmed | Ordered Left Almost ⋇-Semihypergroups Based on Fuzzy Sets |
| title_short | Ordered Left Almost ⋇-Semihypergroups Based on Fuzzy Sets |
| title_sort | ordered left almost ⋇ semihypergroups based on fuzzy sets |
| url | http://dx.doi.org/10.1155/2024/4669760 |
| work_keys_str_mv | AT nabilahabughazalah orderedleftalmostsemihypergroupsbasedonfuzzysets AT naveedyaqoob orderedleftalmostsemihypergroupsbasedonfuzzysets |