Ideal Theory of BCK/BCI-algebras Based on Double-framed Soft Sets

被引：9
|
作者：
Jun, Young Bae [1 ,2 ]
Muhiuddin, G. [3 ]
Al-roqi, Abdullah M. [4 ]
机构：
[1] Gyeongsang Natl Univ, Dept Math Educ, Chinju 660701, South Korea
[2] Gyeongsang Natl Univ, RINS, Chinju 660701, South Korea
[3] Univ Tabuk, Dept Math, Tabuk 71491, Saudi Arabia
[4] King Abdulaziz Univ, Dept Math, Jeddah 21589, Saudi Arabia
来源：
APPLIED MATHEMATICS & INFORMATION SCIENCES | 2013年 / 7卷 / 05期
关键词：
Inclusive (resp Exclusive) set; Int-uni DFS-set; DFS-algebra; (Closed) DFS-ideal;
D O I：
10.12785/amis/070526
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The notion of a (closed) double-framed soft ideal (briefly, a (closed) DFS-ideal) in BCK/BCI-algebras is introduced, and related properties are investigated. Several examples are provided. The relation between a DFS-algebra and a DFS-ideal is considered, and characterizations of a (closed) DFS-ideal are established. A new DFS-ideal from old one is constructed, and we show that the int-uni DFS-set of two DFS-ideals is a DFS-ideal. Conditions for a DFS-ideal to be closed are discussed.
引用
收藏
页码：1879 / 1887
页数：9
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