Open AccessArticle

Bipolar fuzzy BCI-implicative ideals of BCI-algebras

and

1Taif University, Department of Mathematics and Statistic, Taif, 21974, Saudi Arabia2University of Tabuk, Department of Mathematics, Tabuk, 71491, Saudi Arabia

* Corresponding Author: D. Al-Kadi. Email:

Annals of Communications in Mathematics 2020, 3 (1), 88-96. https://doi.org/10.62072/acm.2020.030109

Received: 29 February 2020 |

Accepted: 26 March 2020 |

Published: 25 May 2020

Download PDF

Abstract

The paper introduces the notions of bipolar fuzzy BCI-implicative ideals and bipolar fuzzy closed BCI-implicative ideals of BCI-algebras. It is proved that any bipolar fuzzy BCI-implicative ideal is a bipolar fuzzy ideal but not the converse. Characterizations of bipolar fuzzy BCI-implicative ideals and bipolar fuzzy closed BCIimplicative ideals are given and more properties are studied.

Keywords

BCI-algebras; bipolar fuzzy BCI-implicative. closed BCI-implicative ideal; implicative- closed ideal

Cite This Article

D. Al-Kadi, G. Muhiuddin.

Bipolar fuzzy BCI-implicative ideals of BCI-algebras.

Annals of Communications in Mathematics

2020,

3 (1):

88-96.

https://doi.org/10.62072/acm.2020.030109

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/).