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Generalizations of implication-based fuzzy subalgebras in BCK/BCI-algebras

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

* Corresponding Author
Annals of Communications in Mathematics 2021
, 4 (2),
180-189.
https://doi.org/10.62072/acm.2021.040211
Received: 15 May 2021 |
Accepted: 2 August 2021 |
Published: 30 September 2021

Abstract

In [2], Jun discussed implication-based subalgebras in BCK/BCI-algebras. In this article, more general forms than Jun’s results are discussed. We provide an example to show that a fuzzy subalgebra with thresholds 0 and 0.5 is not an implication-based subalgebra under the Łuckasiewicz implication operator, and then conditions for a fuzzy subalgebra with thresholds 0 and 0.5 to be an implication-based subalgebra under the Łuckasiewicz implication operator are provided.

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Cite This Article

Generalizations of implication-based fuzzy subalgebras in BCK/BCI-algebras.

Annals of Communications in Mathematics,

2021,
4 (2):
180-189.
https://doi.org/10.62072/acm.2021.040211
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  • 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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