AIMS Mathematics (Apr 2021)

Invariance of separation in covering approximation spaces

  • Qifang Li ,
  • Jinjin Li,
  • Xun Ge,
  • Yiliang Li

DOI
https://doi.org/10.3934/math.2021341
Journal volume & issue
Vol. 6, no. 6
pp. 5772 – 5785

Abstract

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In this paper, the invariance of separation in covering approximation spaces are discussed. This paper proves that some separations in covering approximation spaces are invariant to reducts of coverings, invariant to covering approximation subspaces and invariant under CAP-transformations of covering approximation spaces. These results deepen and enrich theory of separations in covering approximation spaces, which is helpful to give further researches and applications of Pawlak rough set theory in information sciences.

Keywords