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Research Article | Open Access

Bipolar fuzzy INK-subalgebras of INK-algebras

Remala Mounikalakshmi1, Tamma Eswarlal1, Chiranjibe Jana2( )
Department of Engineering Mathematics, College of Engineering, Koneru Lakshmaiah Education Foundation, Vaddeswaram, AP, India
Saveetha School of Engineering, Saveetha Institute of Medical and Technical Sciences (SIMATS), Chennai 602105, Tamil Nadu, India
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Abstract

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

INK-algebrafuzzy INK sub-algebrabipolar fuzzy INK sub-algebrahomomorphism
CLC number: 03B52, 03E72, 08A72

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AIMS Mathematics
Volume 9 Issue 10,
October 2024
Pages 27593-27606
DOI: 10.3934/math.20241340

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Mounikalakshmi R, Eswarlal T, Jana C. Bipolar fuzzy INK-subalgebras of INK-algebras. AIMS Mathematics, 2024, 9(10): 27593-27606. https://doi.org/10.3934/math.20241340

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Received: 12 December 2023
Revised: 21 May 2024
Accepted: 17 June 2024
Published: 15 October 2024
©2024 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)