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Hesitant anti-intuitionistic fuzzy soft commutative ideals of BCK-algebras

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1Department of Mathematics, University of Tabuk, Tabuk 71491, Saudi Arabia.2Madanapalle Institute of Technology &amp3Science, Angallu, Madanapalle 517325, India4Department of Mathematics, Sri Vidya Mandir Arts and Science College, Uthangarai 636902, Tamilnadu, India.

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

Annals of Communications in Mathematics 2020, 3 (2), 158-170. https://doi.org/10.62072/acm.2020.030205

Received: 8 July 2020 |

Accepted: 11 August 2020 |

Published: 30 Jun 2020

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Abstract

In this paper, the notions of hesitant anti-intuitionistic fuzzy soft BCI-commutative ideals of BCI-algebras and hesitant anti-intuitionistic fuzzy soft subcommutative ideals of BCK-algebras are introduced and their related properties are investigate. Relations between a hesitant anti-intuitionistic fuzzy soft ideals and hesitant anti-intuitionistic fuzzy soft BCI-commutative ideals are discussed. Conditions for a hesitant anti-intuitionistic fuzzy soft ideal to be a hesitant anti-intuitionistic fuzzy soft BCIcommutative ideal are provided. Finally, it is proved that a hesitant anti-intuitionistic fuzzy soft p-ideal is a hesitant anti-intuitionistic fuzzy soft sub-commutative ideal in a BCKalgebra.

Keywords

Antiintuitionistic fuzzy soft sub-commutative ideals; BCK/BCI-algebra; Fuzzy soft set; Intuitionistic fuzzy soft set; Soft set

Cite This Article

G. Muhiuddin, A. Mahboob, M. Balamurugan.

Hesitant anti-intuitionistic fuzzy soft commutative ideals of BCK-algebras.

Annals of Communications in Mathematics

2020,

3 (2):

158-170.

https://doi.org/10.62072/acm.2020.030205

Copyright © 2020 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/).