On Different Types of Single-Valued Neutrosophic Covering Rough Set with Application in Decision-Making

被引：1

作者：

Zhang, Xiongwei ^{[1
]}

Atef, Mohammed ^{[2
]}

Khalil, Ahmed Mostafa ^{[3
]}

机构：

[1] Yulin Univ, Sch Math & Stat, Yulin 719000, Peoples R China

[2] Menoufia Univ, Fac Sci, Dept Math & Comp Sci, Menoufia, Egypt

[3] Al Azhar Univ, Fac Sci, Dept Math, Assiut 71524, Egypt

来源：

MATHEMATICAL PROBLEMS IN ENGINEERING | 2021年 / 2021卷

关键词：

FUZZY-SETS; REDUCTION; OPERATORS; APPROXIMATIONS;

D O I：

10.1155/2021/7362006

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

This paper aims to propose the notion of Type-1 single-valued neutrosophic complementary beta-neighborhood (briefly, Type-1 SVN complementary beta-neighborhood) and use it to introduce a novel class of 1-single-valued neutrosophic beta-covering rough set (briefly, 1-SVN beta-CRS). Then, we will merge the 1-SVN beta-neighborhood and 1-SVN complementary beta-neighborhood to create new two models of 1-SVN beta-CRS. Furthermore, we will discuss the relationships between the present work and Wang and Zhang's work. For further study on Type-2 Wang and Zhang's models, we will define the 2-SVN complementary beta-neighborhood and use it to present a novel class of 2-SVN beta-CRS. Also, we combine the 2-SVN beta-neighborhood and 2-SVN complementary beta-neighborhood to investigate the new two models of 2-SVN beta-CRS. Lately, we will demonstrate two illustrative examples as real problems to show the differences between two of our approaches and Wang and Zhang's approach.

引用

页数：16

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