International Journal of

ADVANCED AND APPLIED SCIENCES

EISSN: 2313-3724, Print ISSN: 2313-626X

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 Volume 8, Issue 6 (June 2021), Pages: 48-56

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 Original Research Paper

 Title: Fuzzy soft set theory applied to commutative ideals of BCK-algebras

 Author(s): G. Muhiuddin 1, *, D. Al-Kadi 2, Habib Harizavi 3, Amjad S. Albjedi 1

 Affiliation(s):

 1Department of Mathematics, University of Tabuk, Tabuk, Saudi Arabia
 2Department of Mathematics and Statistic, Taif University, Taif, Saudi Arabia
 3Department of Mathematics, Shahid Chamran University of Ahvaz, Ahvaz, Iran

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 * Corresponding Author. 

  Corresponding author's ORCID profile: https://orcid.org/0000-0002-5596-5841

 Digital Object Identifier: 

 https://doi.org/10.21833/ijaas.2021.06.006

 Abstract:

In the present paper, we apply the fuzzy soft set theory to commutative ideals of BCK-algebras. In fact, the notion of fuzzy soft commutative ideals over BCK-algebras is introduced, and related properties are investigated. Relations between fuzzy soft ideals and fuzzy soft commutative ideals are discussed, and conditions for a fuzzy soft ideal to be a fuzzy soft commutative ideal are provided. The “AND” operation, “extended intersection” and “union” of fuzzy soft (commutative) ideals are studied. Furthermore, characterizations of fuzzy soft (commutative) ideals are considered. 

 © 2021 The Authors. Published by IASE.

 This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).

 Keywords: BCK/BCI-algebra, (Commutative) ideal, Fuzzy (commutative) ideal, Fuzzy soft set, Fuzzy soft (commutative) ideal

 Article History: Received 19 November 2020, Received in revised form 20 February 2021, Accepted 22 February 2021

 Acknowledgment 

The authors would like to express their sincere gratitude to anonymous reviewers for their valuable comments and helpful suggestions which have greatly improved the content of this paper.

 Compliance with ethical standards

 Conflict of interest: The author(s) declared no potential conflicts of interest with respect to the research, authorship, and/or publication of this article.

 Citation:

  Muhiuddin G, Al-Kadi D, and Harizavi H et al. (2021). Fuzzy soft set theory applied to commutative ideals of BCK-algebras. International Journal of Advanced and Applied Sciences, 8(6): 48-56

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