基于闭包关系的信息系统约简研究

Study of Relation Reduction Based on Closure of Information Systems

用拓扑学中闭包这个最基本的概念来刻画协调决策信息系统的属性约简和不协调决策信息系统关于上近似的约简。在此基础上,很自然地提出一个二元关系相对于一族二元关系的闭包约简的概念,并且定义一个辨识矩阵来刻画闭包约简,给出闭包协调集的判定定理与约简方法。这些结果是协调信息系统的属性约简和不协调决策信息系统中关于上近似约简理论的自然推广。

In this paper,the closure in topology was used to recognize attribute reduction in consistent information systems and possible reduction in inconsistent information systems.Then,based on the theory of topology, we gave the definition of closure reduction in a family of general relationsnatuarally.Also,we defined a discernibility matrixto present judgement theorem for closure consistent set.