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

and

1Department of Mathematics, Faculty of Science, University of Tabuk, P.O. Box 741, Tabuk 71491, Saudi Arabia2Department of Mathematics, Madanapalle Institute of Technology &amp3Science, Madanapalle517325, India

* Corresponding Author: G. Muhiuddin. Email: chishtygm@gmail.com

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

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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.

Keywords

m-polar cubic (commutative) ideals; m-polar cubic sets; m-polar cubic subalgebras

Cite This Article

G. Muhiuddin, A. Mahboob.

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

Copyright © 2021 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/).