Abstract
Based on lower approximation operator C <inf xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">1</inf> ̲ and upper approximation operator C <inf xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">1</inf> ¯, this paper investigates granularity-wise separations in covering approximation space (U, C), where C <inf xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">1</inf> ̲ and C <inf xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">1</inf> ¯ are Zakowski’s approximation operators. By these investigations, some characterizations for granularity-wise separations are obtained and some relations among granularity-wise separations are established.
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