决策形式背景三支粒约简

Three-way Granular Reduction for Decision Formal Context

针对决策形式背景,文中研究了基于对象导出三支概念格的粒约简问题。首先提出了三支粒协调决策形式背景的概念以及三支粒协调集的概念,以此为基础给出了三支粒协调集的判定定理。然后结合区分矩阵和区分函数给出了三支粒约简方法,并通过实例说明了提出的约简方法的有效性。最后讨论了决策形式背景下三支粒约简、粒约简、分类约简之间的关系。

This paper studied the thre e-way granular reduction in decision formal context.The concepts of thre e-way granular consistent formal decision context and thre e-way granular consistent set were put forward.The judgment theorem for consistent set was examined.Based on discernibility matrix and discernibility function,the reduction method and an illustrative example were presented.At last,the relationships among thre e-way granular reduction,granular reduction and classification reduction were examined.