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m-polar cubic set theory applied to BCK/BCI-algebras

Department of Mathematics, Faculty of Science, University of Tabuk, P.O. Box 741, Tabuk 71491, Saudi Arabia

Department of Mathematics, Madanapalle Institute of Technology & Science, Madanapalle517325, India

* Corresponding Author
Annals of Communications in Mathematics 2021
, 4 (3),
307-319.
https://doi.org/10.62072/acm.2021.0403010
Received: 15 November 2021 |
Accepted: 16 December 2021 |
Published: 31 December 2021

Abstract

In this paper, by combinig the notions of m-polar fuzzy structures and interval valued m-polar fuzzy structures, the notion of m-polar cubic structures is introduced and applied on the ideal theory of BCK/BCI-algebras. In this respect, the notions of m-polar cubic subalgebras and m-polar cubic (commutative) ideals are introduced and some essential properties are discussed. Characterizations of m-polar cubic subalgebras and m-polar cubic (commutative) ideals are considered. Moreover, the relations among m-polar cubic subalgebras, m-polar cubic ideals and m-polar cubic commutative ideals are obtained.

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Cite This Article

m-polar cubic set theory applied to BCK/BCI-algebras.

Annals of Communications in Mathematics,

2021,
4 (3):
307-319.
https://doi.org/10.62072/acm.2021.0403010
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  • Copyright (c) 2023 by the Author(s). Licensee Techno Sky Publications. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/).

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