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In this paper, notions of general algebraic information systems and dense abstract bases are introduced. Their relationships with algebraic dcpo's are investigated. It is shown that they both represent exactly the algebraic dcpo's. Technically, the corresponding categories of these three structures are equivalent with each other.
Covering generalized rough set is a substantial extension to the traditional rough set. Coverings are naturally relevant to topologies. Reduction is one of the most important issues in covering rough set theory. Therefore, there is an endogenous relation between reducts of a covering and topologies. With both theoretical and practical significance, exploring the topological interdependency between...
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