Interval neutrosophic covering rough sets based on neighborhoods

被引：0
|
作者：
Xu, Dongsheng [1 ]
Xian, Huaxiang [1 ]
Lu, Xiewen [1 ]
机构：
[1] Southwest Petr Univ, Sch Sci, Chengdu 610500, Peoples R China
来源：
AIMS MATHEMATICS | 2021年 / 6卷 / 04期
关键词：
neutrosophic sets; interval neutrosophic sets; rough sets; covering rough sets; neighborhood; OPERATORS;
D O I：
10.3934/math.2021224
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Covering rough set is a classical generalization of rough set. As covering rough set is a mathematical tool to deal with incomplete and incomplete data, it has been widely used in various fields. The aim of this paper is to extend the covering rough sets to interval neutrosophic sets, which can make multi-attribute decision making problem more tractable. Interval neutrosophic covering rough sets can be viewed as the bridge connecting Interval neutrosophic sets and covering rough sets. Firstly, the paper introduces the definition of interval neutrosophic sets and covering rough sets, where the covering rough set is defined by neighborhood. Secondly, Some basic properties and operation rules of interval neutrosophic sets and covering rough sets are discussed. Thirdly, the definition of interval neutrosophic covering rough sets are proposed. Then, some theorems are put forward and their proofs of interval neutrosophic covering rough sets also be gived. Lastly, this paper gives a numerical example to apply the interval neutrosophic covering rough sets.
引用
收藏
页码：3772 / 3787
页数：16
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