%0 Journal Article %A Mei He and Ying Ge and Jingyu Qian %D 2011 %J International Journal of Mathematical and Computational Sciences %B World Academy of Science, Engineering and Technology %I Open Science Index 51, 2011 %T On an Open Problem for Definable Subsets of Covering Approximation Spaces %U https://publications.waset.org/pdf/7038 %V 51 %X Let (U;D) be a Gr-covering approximation space (U; C) with covering lower approximation operator D and covering upper approximation operator D. For a subset X of U, this paper investigates the following three conditions: (1) X is a definable subset of (U;D); (2) X is an inner definable subset of (U;D); (3) X is an outer definable subset of (U;D). It is proved that if one of the above three conditions holds, then the others hold. These results give a positive answer of an open problem for definable subsets of covering approximation spaces. %P 511 - 513