程度上、下近似算子的乘积运算

Product Operation of Grade Upper and Lower Approximation Operators

主要探索了程度近似算子的乘积复合运算,定义了程度上、下近似算子的乘积运算,得到了其本质、基本结构与性质,为计算提出了宏观算法与结构算法,进行了算法分析与比较,得到了结构算法在算法时间、算法空间上优于宏观算法的结论.最后用实例进行了说明,并讨论了程度粗糙集模型与变精度粗糙集模型的关系.

This paper aims to explore product operation of grade approximation operators. Product operation of grade upper and lower approximation operators is proposed first, and its essence, basic structure and properties are investigated. Macroscopic algorithm and structural algo：rithm are proposed and analyzed to calculate. It is proved that the structural algorithm is better than macroscopic algorithm in terms of algorithm time and algorithm space. Finally, an example is given, and the relationship between graded rough set model and variable precision rough set model is discussed.