Invariance of separation in covering approximation spaces

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: covering approximation space; invariance; separation; reduct; covering approximation subspace; transformation Mathematics Subject Classification: 54B05, 54D65, 68U35