Bipolar fuzzy GE-algebras
This paper introduces the concept of a bipolar fuzzy GE-algebra within the framework of GE-algebras and explores its key properties. It offers a characterization of a bipolar fuzzy GE-algebra utilizing the negative ∈λ-set and the positive ∈α-set. Additionally, a criterion is provided for identifying...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Ayandegan Institute of Higher Education,
2024-06-01
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| Series: | Journal of Fuzzy Extension and Applications |
| Subjects: | |
| Online Access: | https://www.journal-fea.com/article_196769_1c5649e68dca9e08b8901eb8a4e7fec9.pdf |
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| Summary: | This paper introduces the concept of a bipolar fuzzy GE-algebra within the framework of GE-algebras and explores its key properties. It offers a characterization of a bipolar fuzzy GE-algebra utilizing the negative ∈λ-set and the positive ∈α-set. Additionally, a criterion is provided for identifying a bipolar fuzzy set as a bipolar fuzzy GE-algebra. The paper defines negative qλ-sets and positive qα-sets of a bipolar fuzzy set, presenting necessary conditions for these sets to be GE-subalgebras of a GE-algebra. Furthermore, it introduces the notion of a bipolar (∈, ∈∨q )-fuzzy GE-algebra and investigates its properties, including necessary and sufficient conditions for a bipolar fuzzy set to qualify as such. Finally, the characterization of a bipolar (∈, ∈∨q )-fuzzy GE-algebra using the negative ∈λ-set and the positive ∈α-set is discussed |
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| ISSN: | 2783-1442 2717-3453 |