模糊β-最小和最大描述的矩阵表示

Matrix Representation of Fuzzyβ-Minimal and Maximal Descriptions

利用矩阵方法研究模糊β-覆盖近似空间中有关模糊β-最小和最大描述的问题,并研究模糊β-覆盖近似空间的约简问题.首先,通过定义的新矩阵计算模糊β-最小和最大描述,并用相关的实例进行验证.其次,定义去除交可约元的约简,提出有效计算约简的一种矩阵方法.最后,研究模糊β-最大描述和去除交可约元产生的约简之间的联系.

A matrix method is used to study the fuzzyβ-minimal and maximal descriptions in the fuzzyβ-covering approximation spaces,and the reduction of fuzzyβ-covering approximation space.Firstly,we calculate fuzzyβ-minimal and maximal descriptions by the defined new matrix,and verify them by related examples.Secondly,we define the reduction that removes intersection reducible elements,and propose a matrix method to calculate efficiently the reduction.Finally,we study the relationship between the fuzzyβ-maximal descriptions and reductions produced by removing intersection reducible elements.