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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 and Science, Angallu, Madanapalle 517325, India.3Department 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 sub commutative 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 BCI commutative 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 BCK algebra.

Keywords

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

Cite This Article

Ahsan Mahboob, G. Muhiuddin, 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/).