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

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  • Xiongwei Zhang
  • Mohammed Atef
  • Ahmed Mostafa Khalil

Abstract

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

Suggested Citation

  • Xiongwei Zhang & Mohammed Atef & Ahmed Mostafa Khalil, 2021. "On Different Types of Single-Valued Neutrosophic Covering Rough Set with Application in Decision-Making," Mathematical Problems in Engineering, Hindawi, vol. 2021, pages 1-16, July.
    • Handle: RePEc:hin:jnlmpe:7362006
    DOI: 10.1155/2021/7362006
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