RETRACTED: More General Form of Interval-Valued Fuzzy Ideals of BCK/BCI-Algebras (Retracted Article)

被引：4

作者：

Muhiuddin, G. ^{[1
]}

Al-Kadi, D. ^{[2
]}

Mahboob, A. ^{[3
]}

机构：

[1] Univ Tabuk, Dept Math, Tabuk 71491, Saudi Arabia

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

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

来源：

SECURITY AND COMMUNICATION NETWORKS | 2021年 / 2021卷

关键词：

BIPOLAR SOFT SETS; (IS-AN-ELEMENT-OF; SUBGROUPS;

D O I：

10.1155/2021/9930467

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

The concepts of interval-valued is an element of,is an element of V((kappa) over tilde*,q((kappa) over tilde)-fuzzy subalgebras, interval-valued is an element of,is an element of V((kappa) over tilde*,q((kappa) over tilde)-fuzzy ideals, and interval-valued (is an element of V((kappa) over tilde*, q((kappa) over tilde), is an element of V((kappa) over tilde*,q((kappa) over tilde))-fuzzy ideals are introduced, and related properties are studied. Many examples are given in support of these new notions. Furthermore, interval-valued (is an element of,is an element of V((kappa) over tilde*,q((kappa) over tilde))-fuzzy commutative ideals are defined, and some important properties are discussed. For a BCK-algebra X, it is proved that every interval-valued is an element of,is an element of V((kappa) over tilde*,q ((kappa)) over tilde -fuzzy commutative ideal of BCK-algebra X is an interval-valued is an element of,is an element of V((kappa) over tilde*,q((kappa) over tilde))-fuzzy ideal of X, but the converse need not be true, in general, and then a counterexample is constructed.

引用

页数：10

共 38 条

[1]

Ahmad A., 2013, POLITECHNICA U BUC A, V75, P69

[2]

Akram M., 2014, Int. J Pure Appl Math., V92, P335, DOI 10.12732/ijpam.v92i3.2

[3] Hybrid models for decision-making based on rough Pythagorean fuzzy bipolar soft information [J].