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Bipolar Fuzzy GE-Algebrasopen access
- Issue Date
- Jun-2024
- Publisher
- Research Expansion Alliance (REA)
- Keywords
- (fuzzy, bipolar fuzzy) GE-algebra; (negative, positive) q<sub>λ</sub>-set; (negative, positive) ∈<sub>λ</sub>-set; bipolar (∈, ∈ ∨q)-fuzzy GE-algebra; GE-subalgebra
- Citation
- Journal of Fuzzy Extension and Applications, v.5, no.2, pp 300 - 312
- Pages
- 13
- Indexed
- SCOPUS
- Journal Title
- Journal of Fuzzy Extension and Applications
- Volume
- 5
- Number
- 2
- Start Page
- 300
- End Page
- 312
- ISSN
- 2783-1442
- Abstract
- 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. © 2024, Research Expansion Alliance (REA). All rights reserved.
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