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

Bander Almutairi; Rukhshanda Anjum; Qin Xin; Muhammad Hassan

doi:10.3934/math.2023546

AIMS Mathematics (Mar 2023)

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

Bander Almutairi ,
Rukhshanda Anjum,
Qin Xin,
Muhammad Hassan

Affiliations

Bander Almutairi: 1. Department of Mathematics, College of Sciences, King Saud University, P. O. Box 2455 Riyadh 11451, Saudi Arabia
Rukhshanda Anjum: 2. Department of Mathematics and Statistics, University of Lahore, Lahore, Pakistan
Qin Xin: 3. Faculty of Science and Technology, University of the Faroe Islands, Faroe Islands, Denmark
Muhammad Hassan: 2. Department of Mathematics and Statistics, University of Lahore, Lahore, Pakistan

DOI: https://doi.org/10.3934/math.2023546
Journal volume & issue: Vol. 8, no. 5
pp. 10758 – 10787

Abstract

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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.

Published in AIMS Mathematics

ISSN: 2473-6988 (Online)
Publisher: AIMS Press
Country of publisher: United States
LCC subjects: Science: Mathematics
Website: http://www.aimspress.com/journal/Math

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