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Bipolar fuzzy BCI-implicative ideals of BCI-algebras

Taif University, Department of Mathematics and Statistic, Taif, 21974, Saudi Arabia

University of Tabuk, Department of Mathematics, Tabuk, 71491, Saudi Arabia

* Corresponding Author
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
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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

.
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
  • Creative Commons License
  • 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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