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

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 fu...

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Main Authors: Bander Almutairi, Rukhshanda Anjum, Qin Xin, Muhammad Hassan
Format: Article
Language:English
Published: AIMS Press 2023-03-01
Series:AIMS Mathematics
Subjects:
Online Access:https://www.aimspress.com/article/doi/10.3934/math.2023546?viewType=HTML
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author Bander Almutairi
Rukhshanda Anjum
Qin Xin
Muhammad Hassan
author_facet Bander Almutairi
Rukhshanda Anjum
Qin Xin
Muhammad Hassan
author_sort Bander Almutairi
collection DOAJ
description 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.
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spelling doaj.art-bbb954e690bc4e94a76a4d76848506c52023-03-21T01:30:43ZengAIMS PressAIMS Mathematics2473-69882023-03-0185107581078710.3934/math.2023546Intuitionistic fuzzy k-ideals of right k-weakly regular hemiringsBander Almutairi 0Rukhshanda Anjum1Qin Xin2Muhammad Hassan31. Department of Mathematics, College of Sciences, King Saud University, P. O. Box 2455 Riyadh 11451, Saudi Arabia2. Department of Mathematics and Statistics, University of Lahore, Lahore, Pakistan3. Faculty of Science and Technology, University of the Faroe Islands, Faroe Islands, Denmark2. Department of Mathematics and Statistics, University of Lahore, Lahore, PakistanIn 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.https://www.aimspress.com/article/doi/10.3934/math.2023546?viewType=HTMLfuzzy idealhemiringright k-weakly regular hemiringsintuitionistic fuzzy k-idealintuitionistic fuzzy prime k-idealintuitionistic fuzzy right pure k-idealpurely prime intuitionistic fuzzy k-ideal
spellingShingle Bander Almutairi
Rukhshanda Anjum
Qin Xin
Muhammad Hassan
Intuitionistic fuzzy k-ideals of right k-weakly regular hemirings
AIMS Mathematics
fuzzy ideal
hemiring
right k-weakly regular hemirings
intuitionistic fuzzy k-ideal
intuitionistic fuzzy prime k-ideal
intuitionistic fuzzy right pure k-ideal
purely prime intuitionistic fuzzy k-ideal
title Intuitionistic fuzzy k-ideals of right k-weakly regular hemirings
title_full Intuitionistic fuzzy k-ideals of right k-weakly regular hemirings
title_fullStr Intuitionistic fuzzy k-ideals of right k-weakly regular hemirings
title_full_unstemmed Intuitionistic fuzzy k-ideals of right k-weakly regular hemirings
title_short Intuitionistic fuzzy k-ideals of right k-weakly regular hemirings
title_sort intuitionistic fuzzy k ideals of right k weakly regular hemirings
topic fuzzy ideal
hemiring
right k-weakly regular hemirings
intuitionistic fuzzy k-ideal
intuitionistic fuzzy prime k-ideal
intuitionistic fuzzy right pure k-ideal
purely prime intuitionistic fuzzy k-ideal
url https://www.aimspress.com/article/doi/10.3934/math.2023546?viewType=HTML
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AT rukhshandaanjum intuitionisticfuzzykidealsofrightkweaklyregularhemirings
AT qinxin intuitionisticfuzzykidealsofrightkweaklyregularhemirings
AT muhammadhassan intuitionisticfuzzykidealsofrightkweaklyregularhemirings