差别矩阵HU属性约简的几种等价表示  

Some Equivalent Representations of HU's Attribute Reduction for Discernibility Matrix

作　　者：曾凡智[1] 黄国顺[2] 文翰[2] 

机构地区：[1]佛山科学技术学院计算机系,广东佛山528000 [2]佛山科学技术学院理学院,广东佛山528000

出　　处：《计算机工程》2011年第16期65-67,71,共4页Computer Engineering

基　　金：广东省自然科学基金资助项目(10452800001004185)

摘　　要：对于一致决策表,现有基于相对粒度、相对划分粒度、知识量和同可区分度的属性约简与分别代数约简是等价的,但对于不一致决策表,它们与代数约简并不等价。为此,针对不一致决策表,建立相对粒度与新条件信息熵、知识量和同可区分度之间的线性关系,从而得出结论:现有基于相对粒度、相对划分粒度、知识量和同可区分度的属性约简本质上仅与基于差别矩阵的HU属性约简等价,并通过设计一个不一致决策表验证该结论的正确性。For consistent decision table,the attribute reductions based on relative granularity,relative partition granularity,knowledge quantity and common discernibility degree are equivalent with the algebraic reduction respectively.But they are inconsistent while the decision table is inconsistent.For inconsistent decision table,it is proved that the relationship between new conditional information entropy,knowledge quantity,common discernibility degree and relative granularity is linear.It is followed that the attribute reductions based on relative granularity,relative partition granularity,knowledge quantity and common discernibility degree are just equivalent with the one based on HU＇s discernibility matrix.An inconsistent decision table is designed to illustrate the correctness of conclusion.

关 键 词：差别矩阵 HU属性约简 条件信息熵 相对粒度 知识量 同可区分度 

分 类 号：TP18[自动化与计算机技术—控制理论与控制工程]