Exploring Regularities of Ordered Semigroups Through Generalized Fuzzy Ideals

被引：2
|
作者：
Jun, Young Bae [1 ]
Tinpun, Kittisak [2 ]
Lekkoksung, Nareupanat [3 ]
机构：
[1] Gyeongsang Natl Univ, Dept Math Educ, Jinju, South Korea
[2] Prince Songkla Univ, Fac Sci & Technol, Dept Math & Comp Sci, Pattani, Thailand
[3] Rajamangala Univ Technol Isan, Fac Engn, Div Math, Khon Kaen, Thailand
来源：
INTERNATIONAL JOURNAL OF FUZZY LOGIC AND INTELLIGENT SYSTEMS | 2024年 / 24卷 / 02期
关键词：
alpha; beta )-fuzzy left ideal; beta )-fuzzy right ideal; Ordered semigroup; Regular; Intra-regular; QUASI-IDEALS; TERMS; (IS-AN-ELEMENT-OF; N)-IDEALS; (M;
D O I：
10.5391/IJFIS.2024.24.2.141
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
We consider ( alpha, beta ) -fuzzy ideals, which are a generalized version of fuzzy ideals, in ordered semigroups. A connection between ( alpha, beta ) -fuzzy quasi -ideals and ( alpha, beta ) -fuzzy left (right) ideals is provided. The notion of ( alpha, beta ) -fuzzy ideals is characterized in terms of a particular operation. We describe regular and intra-regular ordered semigroups using the concept of ( alpha, beta )fuzzy ideals.
引用
收藏
页码：141 / 152
页数：12
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