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New Rough Approximations Based on E-Neighborhoods

Author

Listed:
  • Tareq M. Al-shami
  • Wen Qing Fu
  • E. A. Abo-Tabl
  • Abdel-Haleem Abdel-Aty

Abstract

This paper puts forward some rough approximations which are motivated from topology. Given a subset R⊆U×U, we can use 8 types of E-neighborhoods to construct approximations of an arbitrary X⊆U on the one hand. On the other hand, we can also construct approximations relying on a topology which is induced by an E-neighborhood. Properties of these approximations and relationships between them are studied. For convenience of use, we also give some useful and easy-to-understand examples and make a comparison between our approximations and those in the published literature.

Suggested Citation

  • Tareq M. Al-shami & Wen Qing Fu & E. A. Abo-Tabl & Abdel-Haleem Abdel-Aty, 2021. "New Rough Approximations Based on E-Neighborhoods," Complexity, Hindawi, vol. 2021, pages 1-6, March.
    • Handle: RePEc:hin:complx:6666853
    DOI: 10.1155/2021/6666853
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    Cited by:

    1. Radwan Abu-Gdairi & Mostafa A. El-Gayar & Mostafa K. El-Bably & Kamel K. Fleifel, 2021. "Two Different Views for Generalized Rough Sets with Applications," Mathematics, MDPI, vol. 9(18), pages 1-21, September.

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