Intuitionistic Fuzzy Rough Set Based on the Cut Sets of Intuitionistic Fuzzy Set

被引：0
|
作者：
Wu, Le-tao [1 ]
Yuan, Xue-hai [1 ]
机构：
[1] Dalian Univ Technol Panjin, Sch Math & Phys Sci, Panjin 124221, Liaoning, Peoples R China
来源：
FUZZY INFORMATION AND ENGINEERING AND DECISION | 2018年 / 646卷
关键词：
Fuzzy rough set; Intuitionistic fuzzy set; Cut set; Three valued fuzzy set; Rough set;
D O I：
10.1007/978-3-319-66514-6_4
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 triple valued fuzzy set is selected as the cut set of intuitionistic fuzzy set and four kinds of cut sets of intuitionistic fuzzy sets are selected to investigate the intuitionistic fuzzy rough set. The intuitionistic fuzzy rough set is constructed by using the representation theorem of intuitionistic fuzzy set, and it is proved to be equivalent to the original intuitionistic fuzzy rough set. These works give a new perspective on intuitionistic fuzzy rough sets, which promotes the further research and development of the theory of intuitionistic fuzzy sets and rough sets.
引用
收藏
页码：37 / 45
页数：9
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