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Measuring Soft Roughness of Soft Rough Sets Induced by Covering

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Part of the book series: Studies in Computational Intelligence ((SCI,volume 708))

Abstract

In this chapter, important properties of soft rough sets induced by soft covering have been studied and different examples are mentioned. A measure of soft roughness has been introduced via soft covering approximation. Further, integral properties of the measure have been discussed and an example to show the prominence of the measure has been presented. A New approach of soft rough approximation space has been presented via a measure of soft roughness. Moreover, the concepts of soft lower and soft upper approximations via soft roughness have been mentioned. Finally, essential properties of this new approach have been elaborated.

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Acknowledgements

The author is grateful to the anonymous referee for a careful checking of the details and for helpful comments that improved this work.

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Author notes

  1. Amr Zakaria

    Present address: Department of Mathematics, Faculty of Education, Ain Shams University, Cairo, 11341, Egypt

Authors and Affiliations

  1. Institute of Mathematics, University of Debrecen, H-4002 Debrecen, Pf. 400, Hungary

    Amr Zakaria

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  1. Amr Zakaria
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Correspondence to Amr Zakaria .

Editor information

Editors and Affiliations

  1. Chongqing Key Laboratory of Computational Intelligence, Chongqing University of Posts and Telecommunications, Chongqing, China

    Guoyin Wang

  2. Institute of Mathematics, University of Warsaw Institute of Mathematics, Warsaw, Poland

    Andrzej Skowron

  3. University of Regina, Department of Computer Science University of Regina, Regina, Saskatchewan, Canada

    Yiyu Yao

  4. Institute of Informatics, University of Warsaw, Warsaw, Poland

    Dominik Ślęzak

  5. Polish-Japanese Academy IT , Warsaw, Poland

    Lech Polkowski

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Zakaria, A. (2017). Measuring Soft Roughness of Soft Rough Sets Induced by Covering. In: Wang, G., Skowron, A., Yao, Y., Ślęzak, D., Polkowski, L. (eds) Thriving Rough Sets. Studies in Computational Intelligence, vol 708. Springer, Cham. https://doi.org/10.1007/978-3-319-54966-8_13

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  • DOI: https://doi.org/10.1007/978-3-319-54966-8_13

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-54965-1

  • Online ISBN: 978-3-319-54966-8

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