变精度覆盖粗糙集的新型算子研究

Research on operators in variable precision covering rough set

基于邻域的变精度覆盖粗糙集模型中,β上,下覆盖近似算子的交不保持交运算。通过定义一对新的覆盖边界上,下算子,并讨论了它们的性质。应用新定义的算子,能够将覆盖上下近似算子交运算的不等式变成等式,防止了信息的丢失。

Both the β upper approximation and lower approximation operators in variable precision covering rough set model based on neighborhood do not keep intersection operation ,which means that the information may be lost in the operations of intersection. A new pair of covering upper and lower boundary regions operators are defined in variable precision covering rough set and their properties are discussed. Using them,two inequalities well known in the variable precision covering rough set become equalities. With the change,no information will be lost in the new expressions.