Topology of the Redefined Intuitionistic Fuzzy Rough Sets

被引:0
|
作者
Yun, Sang Min [1 ]
Eom, Yeon Seok [1 ]
Lee, Seok Jong [1 ]
机构
[1] Chungbuk Natl Univ, Dept Math, Cheongju, South Korea
关键词
Fuzzy rough set; Intuitionistic fuzzy rough sets; Transition topology; Category;
D O I
10.5391/IJFIS.2021.21.4.369
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
In our previous paper, we proposed a new definition of intuitionistic fuzzy rough sets. In this paper, we propose a topology for redefined intuitionistic fuzzy rough sets and investigate the basic properties of their subspaces, transition spaces, and continuous functions. Moreover, we obtain the adjointness between the categories of fuzzy rough sets and intuitionistic fuzzy rough sets. The results obtained from this new definition differ from those of previous studies.
引用
收藏
页码:369 / 377
页数:9
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