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中文摘要：
在决策信息系统中引入拓扑结构，借助拓扑学的基本概念（拓扑、内部和闭包等）研究决策问题，用它们刻画决策信息系统中的一些重要概念（决策协调集、决策约简集、下近似协调集、下近似约简集、上近似协调集、上近似约简集），并利用它们把这些重要概念推广到最一般的情况，建立起相应的约简理论。
英文摘要：
In this paper, we construct topological structure in decision information systems, and use some basic concepts of topology to recognize definitions of decision consistent set, lower approximation consistent set and upper approximation consistent set in consistent information systems and inconsistent information systems. Then, based on the theory of topology, we give the definition of relation reduction, interior reduction and closure reduction in a family of general relations naturally. Also, we use a discernibility matrix to give judgement theorem for relation consistent set, interior consistent set and closure consistent set, and generalize corresponding theory in decision information systems.
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