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

页码：141 / 152

页数：12

共 50 条

[11] Ordered Γ-Semigroups and Fuzzy Γ-Ideals
Mahboob, Ahsan
Davvaz, Bijan
Khan, Noor Mohammad
IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS, 2021, 16 (02): : 145 - 162
[12] A New Type of Fuzzy Quasi-ideals of Ordered Semigroups
Cristea, Irina
Mahboob, Ahsan
Khan, Noor Mohammad
JOURNAL OF MULTIPLE-VALUED LOGIC AND SOFT COMPUTING, 2020, 34 (3-4) : 283 - 304
[13] New types of fuzzy (m, n)-ideals in ordered semigroups
Muhiuddin, G.
Mahboob, A.
Khan, N. M.
Al-Kadi, D.
JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2021, 41 (06) : 6561 - 6574
[14] Ordered Semigroups Characterized by Their Intuitionistic Fuzzy Generalized Bi-ideals
Muhammad Shabir
Asghar Khan
模糊系统与数学, 2009, 23 (05) : 56 - 64
[15] Fuzzy ideals of ordered semigroups with fuzzy orderings
Huang, Xiaokun
Li, Qingguo
OPEN MATHEMATICS, 2016, 14 : 841 - 856
[16] Ordered semigroups characterized by (∈, ∈ ∨qk)-fuzzy generalized bi-ideals
Khan, Asghar
Jun, Young Bae
Sarmin, Nor Haniza
Khan, Faiz Muhammad
NEURAL COMPUTING & APPLICATIONS, 2012, 21 : S121 - S132
[17] CHARACTERIZATIONS OF ORDERED SEMIGROUPS BY THE PROPERTIES OF THEIR FUZZY GENERALIZED BI-IDEALS
Shabir, M.
Khan, A.
NEW MATHEMATICS AND NATURAL COMPUTATION, 2008, 4 (02) : 237 - 250
[18] ON TRIPOLAR FUZZY IDEALS IN ORDERED SEMIGROUPS
Wattanasiripong, Nuttapong
Lekkoksung, Nareupanat
Lekkoksung, Somsak
JOURNAL OF APPLIED MATHEMATICS & INFORMATICS, 2023, 41 (01): : 133 - 154
[19] On Pure Fuzzy Ideals in Ordered Semigroups
Siribute, Kongpop
Sanborisoot, Jatuporn
INTERNATIONAL JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE, 2019, 14 (04): : 867 - 877
[20] SOFT IDEALS AND GENERALIZED FUZZY IDEALS IN SEMIGROUPS
Shabir, Muhammad
Ali, Muhammad Irfan
NEW MATHEMATICS AND NATURAL COMPUTATION, 2009, 5 (03) : 599 - 615

← 1 2 3 4 5 →