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...
Main Authors: | , , , |
---|---|
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 |
_version_ | 1827986561260584960 |
---|---|
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. |
first_indexed | 2024-04-09T23:33:19Z |
format | Article |
id | doaj.art-bbb954e690bc4e94a76a4d76848506c5 |
institution | Directory Open Access Journal |
issn | 2473-6988 |
language | English |
last_indexed | 2024-04-09T23:33:19Z |
publishDate | 2023-03-01 |
publisher | AIMS Press |
record_format | Article |
series | AIMS Mathematics |
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 |
work_keys_str_mv | AT banderalmutairi intuitionisticfuzzykidealsofrightkweaklyregularhemirings AT rukhshandaanjum intuitionisticfuzzykidealsofrightkweaklyregularhemirings AT qinxin intuitionisticfuzzykidealsofrightkweaklyregularhemirings AT muhammadhassan intuitionisticfuzzykidealsofrightkweaklyregularhemirings |