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

作者：Zhu, Kuan Yun; Hu, Bao Qing^*

来源：Soft Computing, 2018, 22(11): 3649-3662.

DOI：10.1007/s00500-017-2816-z

• BCI-algebra
• Soft rough set
• Z-soft rough fuzzy set
• Z-soft rough fuzzy BCI-algebra (idea)

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.

• 出版日期2018-6
• 单位武汉大学