RETRACTED: More General Form of Interval-Valued Fuzzy Ideals of BCK/BCI-Algebras (Retracted Article)

被引：3
|
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.
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页数：10
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