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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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
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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| Summary: | 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. |
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| ISSN: | 2314-4785 |