Ternary Semigroups Characterized by Spherical Fuzzy Bi-ideals

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已出版: 12月 27, 2023

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Warud Nakkhasen
Department of Mathematics, Faculty of Science, Mahasarakham University, Maha Sarakham 44150, Thailand
Ronnason Chinram
Division of Computational Science, Faculty of Science, Prince of Songkla University, Songkhla 90110, Thailand

摘要

The concept of spherical fuzzy sets, was introduced by Ashraf et al. in 2019, and is a generalization of the concepts of intuitionistic fuzzy sets, picture fuzzy sets and Pythagorean fuzzy sets. In this paper, we introduce the concepts of spherical fuzzy quasi-ideals and spherical fuzzy bi-ideals of ternary semigroups and investigate some of their properties. Then, we characterize regular ternary semigroups in terms of spherical fuzzy left (resp., lateral, right) ideals, spherical fuzzy quasi-ideals and spherical fuzzy bi-ideals of ternary semigroups. Moreover, some characterizations of weakly regular ternary semigroups by the concepts of many types of spherical fuzzy ideals in ternary semigroups are discussed.

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Nakkhasen, W., & Chinram, R. (2023). Ternary Semigroups Characterized by Spherical Fuzzy Bi-ideals. Science & Technology Asia, 28(4), 86–107. 取读于 从 https://ph02.tci-thaijo.org/index.php/SciTechAsia/article/view/250002
期
Vol.28 No.4 (October-December 2023)
栏目
Physical sciences
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