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

Bander Almutairi; Rukhshanda Anjum; Qin Xin; Muhammad Hassan; Bander Almutairi; Rukhshanda Anjum; Qin Xin; Muhammad Hassan

doi:10.3934/math.2023546

AIMS Mathematics

2023, Volume 8, Issue 5: 10758-10787. doi: 10.3934/math.2023546

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Research article

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

1.
Department of Mathematics, College of Sciences, King Saud University, P. O. Box 2455 Riyadh 11451, Saudi Arabia
2.
Department of Mathematics and Statistics, University of Lahore, Lahore, Pakistan
3.
Faculty of Science and Technology, University of the Faroe Islands, Faroe Islands, Denmark

Received: 13 January 2023 Revised: 17 February 2023 Accepted: 19 February 2023 Published: 06 March 2023
MSC : 16Y99, 16Y60

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.
Citation: Bander Almutairi, Rukhshanda Anjum, Qin Xin, Muhammad Hassan. Intuitionistic fuzzy $ k $-ideals of right $ k $-weakly regular hemirings[J]. AIMS Mathematics, 2023, 8(5): 10758-10787. doi: 10.3934/math.2023546

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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.

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