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Research Article | Open Access

Intuitionistic fuzzy k-ideals of right k-weakly regular hemirings

Bander Almutairi1, Rukhshanda Anjum2 ( ), Qin Xin3, Muhammad Hassan2
Department of Mathematics, College of Sciences, King Saud University, P. O. Box 2455 Riyadh 11451, Saudi Arabia
Department of Mathematics and Statistics, University of Lahore, Lahore, Pakistan
Faculty of Science and Technology, University of the Faroe Islands, Faroe Islands, Denmark
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Abstract

In this work, we will examine the concept of intuitionistic fuzzy k-ideals in the context of right k-weakly regular hemirings. We will investigate the properties of these ideals and how they relate to other concepts such as fuzzy prime k-ideals, intuitionistic fuzzy prime k-ideals, intuitionistic fuzzy right pure k-ideals, and purely prime intuitionistic fuzzy k-ideals in hemirings. We will also explore how the regularity of a k-weakly regular hemiring can be characterized through its intuitionistic fuzzy k-ideals.

Keywords

fuzzy idealhemiringright k-weakly regular hemiringsintuitionistic fuzzy k-idealintuitionistic fuzzy prime k-idealintuitionistic fuzzy right pure k-idealpurely prime intuitionistic fuzzy k-ideal
CLC number: 16Y99, 16Y60

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AIMS Mathematics
Volume 8 Issue 5,
May 2023
Pages 10758-10787
DOI: 10.3934/math.2023546

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Cite this article:
Almutairi B, Anjum R, Xin Q, et al. Intuitionistic fuzzy k-ideals of right k-weakly regular hemirings. AIMS Mathematics, 2023, 8(5): 10758-10787. https://doi.org/10.3934/math.2023546

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Received: 13 January 2023
Revised: 17 February 2023
Accepted: 19 February 2023
Published: 15 May 2023
©2023 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)