邻域关系下的覆盖粗糙集及其模糊性度量

Covering Rough Set Based on the Neighborhood Relation and Its Fuzzyness Metric

对邻域关系下的覆盖粗糙集的矩阵描述及模糊性度量进行分析和研究。首先,给出了一种新的邻域关系的覆盖粗糙集上、下近似的定义。其次,在邻域关系下的覆盖近似空间引入了一类新的模糊集,得覆盖近似空间的模糊性度量,最后通过实例给出直观解释。

Matnx description and fuzzyness metric of covering rough set based on the neighborhood relation are analyzed and researched, First of all, the paper gives the upper and lower approximate definition of the covering rough set based on a new kind of neighborhood relation,secondly, introduces a new class of fuzzy sets in the covering approximation space based on neighborhood relationship, gets the fuzzyness metric, and gives intuitive explanation through example.