AIMS Mathematics (Sep 2024)

Bipolar fuzzy INK-subalgebras of INK-algebras

  • Remala Mounikalakshmi ,
  • Tamma Eswarlal,
  • Chiranjibe Jana

DOI
https://doi.org/10.3934/math.20241340
Journal volume & issue
Vol. 9, no. 10
pp. 27593 – 27606

Abstract

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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.

Keywords