A novel Z-soft rough fuzzy -algebras (ideals) of -algebras

被引:0
作者
Zhu, Kuan Yun [1 ,2 ]
Hu, Bao Qing [1 ,2 ]
机构
[1] Wuhan Univ, Sch Math & Stat, Wuhan 430072, Hubei, Peoples R China
[2] Wuhan Univ, Computat Sci Hubei Key Lab, Wuhan 430072, Hubei, Peoples R China
基金
中国国家自然科学基金;
关键词
BCI-algebra; Soft rough set; Z-soft rough fuzzy set; Z-soft rough fuzzy BCI-algebra (idea); DECISION-MAKING; SET-THEORY; BCI-ALGEBRAS; UNIVERSES; HEMIRINGS; APPROXIMATION;
D O I
10.1007/s00500-017-2816-z
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
In this paper, the notion of Z-soft rough fuzzy BCI-algebras (ideals) is introduced, which is an extended notion of soft rough BCI-algebras (ideals) and rough fuzzy BCI-algebras (ideals). In this paper, we first apply Z-soft rough fuzzy sets to BCI-algebras. Moreover, we study roughness in BCI-algebras with respects to a Z-soft approximation space. Some new Z-soft rough fuzzy operations over BCI-algebras are explored. In particular, Z-lower and Z-upper soft rough fuzzy BCI-algebras (ideals) are investigated.
引用
收藏
页码:3649 / 3662
页数:14
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