A Novel Study of Fuzzy Bi-Ideals in Ordered Semirings

被引：2

作者：

Muhiuddin, Ghulam ^{[1
]}

Abughazalah, Nabilah ^{[2
]}

Mahboob, Ahsan ^{[3
]}

Al-Kadi, Deena ^{[4
]}

机构：

[1] Univ Tabuk, Fac Sci, Dept Math, POB 741, Tabuk 71491, Saudi Arabia

[2] Princess Nourah bint Abdulrahman Univ, Coll Sci, Dept Math Sci, POB 84428, Riyadh 11671, Saudi Arabia

[3] Madanapalle Inst Technol & Sci, Dept Math, Madanapalle 517325, India

[4] Taif Univ, Coll Sci, Dept Math & Stat, POB 11099, Taif 21944, Saudi Arabia

来源：

AXIOMS | 2023年 / 12卷 / 07期

关键词：

V; q(?)))-fuzzy bi-ideals; regular ordered semirings; intra-regular ordered semirings; SETS;

D O I：

10.3390/axioms12070626

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this study, by generalizing the notion of fuzzy bi-ideals of ordered semirings, the notion of (? , ? V (?* , q(?)) )-fuzzy bi-ideals is established. We prove that (? , ? V (?* , q(?)))-fuzzy biideals are fuzzy bi-ideals but that the converse is not true, and an example is provided to support this proof. A condition is given under which fuzzy bi-ideals of ordered semirings coincide with (? , ? V (?* , q(?)) )-fuzzy bi-ideals. An equivalent condition and certain correspondences between bi-ideals and (? , ? V (?* , q(?)))-fuzzy bi-ideals are presented. Moreover, the (?* , ?)-lower part of ((? , ? V (?* , q(?)))-fuzzy bi-ideals is described and depicted in terms of several classes of ordered semirings. Furthermore, it is shown that the ordered semiring is bi-simple if and only if it is ((? , ? V (?* , q(?)))-fuzzy bi-simple.

引用

页数：13

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