Bipolar fuzzy GE-algebras
نویسندگان
1 Department of Mathematics Education, Gyeongsang National University, Jinju 52828, Korea.
2 Department of Mathematics Education, Hannam University, Daejeon 34430, Korea.
3 Department of Mathematics, School of Advanced Sciences,, VIT-AP University, Beside AP Secretariate, Andhra Pradesh-522237, India.
doi
10.22105/jfea.2024.447849.1406چکیده
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
