基于最优近似粗糙集的属性约简

为了更好地获取由边界域产生的不确定性规则知识,提出最优近似粗糙集的属性约简方法,为此给出了近似空间上粗糙集最优近似集的判定与计算,引入最优近似分布协调集、最优近似分布约简概念.讨论了Pawlak属性约简、分布约简、最优近似分布约简之间关系,得到在协调决策表中它们是等价的,在不协调决策表中最优近似分布约简是分布约简子集.最后通过实例进行了验证与说明

Attributes reduction based on the optimal approximation set of rough set

To obtain the knowledge of uncertainty rules generated by the boundary region, an attribute reduction algorithm based on the optimal approximate rough set is proposed in this paper.The judgement and calculation of the optimal approximation set of rough set in approximate space is presented, and the conceptsof the optimal approximate distribution coordination sets and the optimal approximate distribution reduction are introduced.The relations among Pawlak attributes reduction, distribution reduction and distribution reduction based on the optipal approximation set of rough set are discussed.The conclusion that they are equivalent in the coordination decision table and the distribution reduction set based on the optipal approximation set of rough set is subset of the distribution reduction sets are obtained.Finally,the above conclusions are verified with an example.