%0 Journal Article %A Shiping Wang and Peiyong Zhu and William Zhu %D 2010 %J International Journal of Mathematical and Computational Sciences %B World Academy of Science, Engineering and Technology %I Open Science Index 37, 2010 %T Structure of Covering-based Rough Sets %U https://publications.waset.org/pdf/13163 %V 37 %X Rough set theory is a very effective tool to deal with granularity and vagueness in information systems. Covering-based rough set theory is an extension of classical rough set theory. In this paper, firstly we present the characteristics of the reducible element and the minimal description covering-based rough sets through downsets. Then we establish lattices and topological spaces in coveringbased rough sets through down-sets and up-sets. In this way, one can investigate covering-based rough sets from algebraic and topological points of view. %P 193 - 196