This article presents a new idea for an extension of the fuzzy INK algebra called bipolar fuzzy INK subalgebra. The objective of this study is to define the features that distinguish bipolar fuzzy INK-subalgebras of INK-algebras. The algebraic operations on these sub-algebras are also studied. The thorough examination allows us to prove a number of theorems that shed light on the connections between the higher and lower-level sets related to these ideas. In addition, several related topics are thoroughly examined, and the idea of homomorphism for bipolar fuzzy INK sub-algebras is introduced.
Citation: Remala Mounikalakshmi, Tamma Eswarlal, Chiranjibe Jana. Bipolar fuzzy INK-subalgebras of INK-algebras[J]. AIMS Mathematics, 2024, 9(10): 27593-27606. doi: 10.3934/math.20241340
This article presents a new idea for an extension of the fuzzy INK algebra called bipolar fuzzy INK subalgebra. The objective of this study is to define the features that distinguish bipolar fuzzy INK-subalgebras of INK-algebras. The algebraic operations on these sub-algebras are also studied. The thorough examination allows us to prove a number of theorems that shed light on the connections between the higher and lower-level sets related to these ideas. In addition, several related topics are thoroughly examined, and the idea of homomorphism for bipolar fuzzy INK sub-algebras is introduced.
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Remala Mounikalakshmi, Tamma Eswarlal, Chiranjibe Jana. Bipolar fuzzy INK-subalgebras of INK-algebras[J]. AIMS Mathematics, 2024, 9(10): 27593-27606. doi: 10.3934/math.20241340
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