M-polar Q-hesitant Anti-fuzzy Set in BCK/BCI-algebras

Authors

  • Maryam Abdullah Alshayea
  • Kholood Alsager Department of mathematics, Qassim University, Qassim, Saudi Arabia.2 Department of mathematics, Qassim University, Qassim, Saudi A

DOI:

https://doi.org/10.29020/nybg.ejpam.v17i1.4952

Keywords:

$\phi_j$ polar decomposition, )-fuzzy subalgebra

Abstract

The main objective of this paper is to effectively define a new concept of the fabulous fuzzy set theory that is called m-polar Q-hesitant anti-fuzzy set and apply it to the BCK/BCI-algebras. The m-polar Q-hesitant anti-fuzzy set is an astonishing development of the combination between the m-polar fuzzy set and the Q-hesitant fuzzy set. However, we introduce knowledge of the m-polar Q-hesitant anti-fuzzy subalgebra, m-polar Q-hesitant anti-fuzzy ideal, closed m-polar Q-hesitant anti-fuzzy ideal, m-polar Q hesitant anti-fuzzy commutative ideal, m-polar Q-hesitant anti-fuzzy implicative ideal, and m-polar Q-hesitant anti-fuzzy positive implicative of BCK/BCI- algebras. In addition, we investigate several theorems, examples, and properties of these notions.

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Published

2024-01-31

Issue

Vol. 17 No. 1: (January 2024)

Section

Nonlinear Analysis

License

Copyright (c) 2024 European Journal of Pure and Applied Mathematics

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How to Cite

M-polar Q-hesitant Anti-fuzzy Set in BCK/BCI-algebras. (2024). European Journal of Pure and Applied Mathematics, 17(1), 338-355. https://doi.org/10.29020/nybg.ejpam.v17i1.4952