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.