A Novel Study Based on Fuzzy p-Ideals of BCI-Algebras

被引：1

作者：

Muhiuddin, G. ^{[1
]}

Abughazalah, Nabilah ^{[2
]}

Mahboob, A. ^{[3
]}

Elnair, M. E. ^{[1
,4
]}

Alotaibi, Abdullah G. ^{[1
]}

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] Gezira Univ, Dept Math & Phys, POB 20, Wad Madani, Sudan

来源：

JOURNAL OF FUNCTION SPACES | 2023年 / 2023卷

关键词：

ELEMENT; (IS-AN-ELEMENT-OF;

D O I：

10.1155/2023/9453596

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we propose the concept of (epsilon, epsilon V(j(*), q(j)))-fuzzy p-ideals in "BCI-algebras." We show that "(epsilon, epsilon Vq))-fuzzy p-ideals" and "(epsilon V(j(*), q(j)), epsilon V(j(*), q(j)))-fuzzy p-ideals" are "(epsilon, epsilon V(j(*), q(j)))-fuzzy p-ideals." However, the converse is not true, then presented examples. For a BCI-algebra Y, it has been shown that ever y (epsilon, epsilon V(j(*), q(j)))-fuzzy p-ideal of Y is an (epsilon, epsilon V(j(*), q(j)))-fuzzy ideals of Y but not conversely, and then, an example is given. Furthermore in Y, a connection between (epsilon, epsilon V(j(*), q(j)))-fuzzy p-ideals and p-ideals is established.

引用

页数：6

共 26 条

[1]

Al-Masarwah A. N. A. S., 2019, ANN COMMUNICATIONS M, V2, P11

[2] m-Polar (α, β)-Fuzzy Ideals in BCK/BCI-Algebras [J].

Al-Masarwah, Anas ;

Ahmad, Abd Ghafur .

SYMMETRY-BASEL, 2019, 11 (01)

[3] (is an element of,is an element of boolean OR q)-fuzzy subgroup [J].

Bhakat, SK ;

Das, P .

FUZZY SETS AND SYSTEMS, 1996, 80 (03) :359-368

[4] On the Algebraic Attributes of (α, β)-Pythagorean Fuzzy Subrings and (α, β)-Pythagorean Fuzzy Ideals of Rings [J].

Bhunia, Supriya ;

Ghorai, Ganesh ;

Xin, Qin ;

Gulzar, Muhammad .

IEEE ACCESS, 2022, 10 :11048-11056

[5] On the Algebraic Characteristics of Fuzzy Sub e-Groups [J].

Bhunia, Supriya ;

Ghorai, Ganesh ;

Kutbi, Marwan Amin ;

Gulzar, Muhammad ;

Alam, Md Ashraful .

JOURNAL OF FUNCTION SPACES, 2021, 2021

[6]

Ejegwa P. A., 2019, ANN COMMUNICATION MA, V2, P24

[7] ON AXIOM SYSTEMS OF PROPOSITIONAL CALCULI .14. [J].

IMAI, Y ;

ISEKI, K .

PROCEEDINGS OF THE JAPAN ACADEMY, 1966, 42 (01) :19-&

[8] AN ALGEBRA RELATED WITH A PROPOSITIONAL CALCULUS [J].

ISEKI, K .

PROCEEDINGS OF THE JAPAN ACADEMY, 1966, 42 (01) :26-&

[9]

JUN Y.B., 2005, Bull. Korean Math. Soc, V42, P703

[10]

Jun Y. B., 2004, Scientiae Mathematicae Japonicae, V60, P613

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