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.
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收藏
页数：13
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