On Different Types of Single-Valued Neutrosophic Covering Rough Set with Application in Decision-Making. (31st July 2021)

• Record Type: Journal Article
• Authors: Zhang, Xiongwei; Atef, Mohammed; Khalil, Ahmed Mostafa
• Other Names: Abdullah Lazim Academic Editor.
• Is Part Of: Mathematical problems in engineering. Volume 2021(2021)
• Publication Date: 2021-07-31
• Subjects: Engineering mathematics -- Periodicals; 510.2462
• DOI: 10.1155/2021/7362006
• Languages: English
• ISSNs: 1024-123X

Abstract

Abstract : This paper aims to propose the notion of Type-1 single-valued neutrosophic complementary β -neighborhood (briefly, Type-1 SVN complementary β -neighborhood) and use it to introduce a novel class of 1-single-valued neutrosophic β -covering rough set (briefly, 1-SVN β -CRS). Then, we will merge the 1-SVN β -neighborhood and 1-SVN complementary β -neighborhood to create new two models of 1-SVN β -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 β -neighborhood and use it to present a novel class of 2-SVN β -CRS. Also, we combine the 2-SVN β -neighborhood and 2-SVN complementary β -neighborhood to investigate the new two models of 2-SVN β -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.