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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| Format: | Article |
| Language: | English |
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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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| _version_ | 1832577819898544128 |
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| author | Kyoung Ja Lee Ravikumar Bandaru Young Jun |
| author_facet | Kyoung Ja Lee Ravikumar Bandaru Young Jun |
| author_sort | Kyoung Ja Lee |
| collection | DOAJ |
| description | 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 |
| format | Article |
| id | doaj-art-75452171ae6a448b853507383edf80d3 |
| institution | Kabale University |
| issn | 2783-1442 2717-3453 |
| language | English |
| publishDate | 2024-06-01 |
| publisher | Ayandegan Institute of Higher Education, |
| record_format | Article |
| series | Journal of Fuzzy Extension and Applications |
| spelling | doaj-art-75452171ae6a448b853507383edf80d32025-01-30T15:07:07ZengAyandegan Institute of Higher Education,Journal of Fuzzy Extension and Applications2783-14422717-34532024-06-015230031210.22105/jfea.2024.447849.1406196769Bipolar fuzzy GE-algebrasKyoung Ja Lee0Ravikumar Bandaru1Young Jun2Department of Mathematics Education, Hannam University, Daejeon 34430, Korea.Department of Mathematics, School of Advanced Sciences,, VIT-AP University, Beside AP Secretariate, Andhra Pradesh-522237, India.Department of Mathematics Education, Gyeongsang National University, Jinju 52828, Korea.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 discussedhttps://www.journal-fea.com/article_196769_1c5649e68dca9e08b8901eb8a4e7fec9.pdfge-subalgebra(fuzzybipolar fuzzy) ge-algebrabipolar (∈∈ ∨q )-fuzzy ge-algebrapositive) ∈λ-set(negativepositive) qλ-set |
| spellingShingle | Kyoung Ja Lee Ravikumar Bandaru Young Jun Bipolar fuzzy GE-algebras Journal of Fuzzy Extension and Applications ge-subalgebra (fuzzy bipolar fuzzy) ge-algebra bipolar (∈ ∈ ∨q )-fuzzy ge-algebra positive) ∈λ-set (negative positive) qλ-set |
| title | Bipolar fuzzy GE-algebras |
| title_full | Bipolar fuzzy GE-algebras |
| title_fullStr | Bipolar fuzzy GE-algebras |
| title_full_unstemmed | Bipolar fuzzy GE-algebras |
| title_short | Bipolar fuzzy GE-algebras |
| title_sort | bipolar fuzzy ge algebras |
| topic | ge-subalgebra (fuzzy bipolar fuzzy) ge-algebra bipolar (∈ ∈ ∨q )-fuzzy ge-algebra positive) ∈λ-set (negative positive) qλ-set |
| url | https://www.journal-fea.com/article_196769_1c5649e68dca9e08b8901eb8a4e7fec9.pdf |
| work_keys_str_mv | AT kyoungjalee bipolarfuzzygealgebras AT ravikumarbandaru bipolarfuzzygealgebras AT youngjun bipolarfuzzygealgebras |