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Generalizations of rough sets via topology

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Abstract

In this paper, we present a general framework for the study of rough sets using topological approaches. First, we introduce several concepts and properties of \(\tau -R\)-open sets. After that, we used topology to generalize the basic rough set concepts and study their properties. It’s application in data reduction and decision analysis is investigated. Finally, a simple example is adopted to demonstrate the effectiveness of the proposed models.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Science, Mansoura University, Dakahlia Governorate, 35516, Egypt

    M. Abo-Elhamayel

  2. Department of Mathematics, Rustaq College of Education, Ministry of Higher Education, 329, Rustaq, Sultanate of Oman

    M. Abo-Elhamayel

  3. School of Computer Science and Informatics, De Montfort University, The Gateway, Leicester, LE1 9BH, UK

    Yingjie Yang

Authors
  1. M. Abo-Elhamayel
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  2. Yingjie Yang
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Correspondence to M. Abo-Elhamayel.

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Abo-Elhamayel, M., Yang, Y. Generalizations of rough sets via topology. Afr. Mat. 32, 41–50 (2021). https://doi.org/10.1007/s13370-020-00808-y

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