针对决策问题的灰色系统特征,引入三参数区间灰数对评价指标进行度量。从类型一致化和无量纲化这两个方面着手对评价矩阵进行标准化。考虑到三参数区间灰数的上下界与重心点的影响,给出了基于可能度的三参数区间灰数排序方法以及三参数...针对决策问题的灰色系统特征,引入三参数区间灰数对评价指标进行度量。从类型一致化和无量纲化这两个方面着手对评价矩阵进行标准化。考虑到三参数区间灰数的上下界与重心点的影响,给出了基于可能度的三参数区间灰数排序方法以及三参数区间灰数距离测度方法。在此基础上,提出了基于三参数区间灰数的逼近理想解排序(technique for order preference by similarity to ideal solution,TOPSIS)决策方法,并用实例验证了其科学性与有效性。展开更多
The evaluation problem with three-parameter interval grey number (T-PIGN) widely exists in real world. To select effective evaluation indicators of the problem, this paper puts forward evaluation index system selectio...The evaluation problem with three-parameter interval grey number (T-PIGN) widely exists in real world. To select effective evaluation indicators of the problem, this paper puts forward evaluation index system selection principle of T-PIGN based on distance entropy model, and gives out evaluation index system selection judgment criterion of T-PIGN. Furthermore, for the redundancy of evaluation index system with T-PIGN, a selection method of evaluation index system with T-PIGN is proposed. Finally, the applicability of the proposed method is verified by concrete examples.展开更多
文摘针对决策问题的灰色系统特征,引入三参数区间灰数对评价指标进行度量。从类型一致化和无量纲化这两个方面着手对评价矩阵进行标准化。考虑到三参数区间灰数的上下界与重心点的影响,给出了基于可能度的三参数区间灰数排序方法以及三参数区间灰数距离测度方法。在此基础上,提出了基于三参数区间灰数的逼近理想解排序(technique for order preference by similarity to ideal solution,TOPSIS)决策方法,并用实例验证了其科学性与有效性。
文摘The evaluation problem with three-parameter interval grey number (T-PIGN) widely exists in real world. To select effective evaluation indicators of the problem, this paper puts forward evaluation index system selection principle of T-PIGN based on distance entropy model, and gives out evaluation index system selection judgment criterion of T-PIGN. Furthermore, for the redundancy of evaluation index system with T-PIGN, a selection method of evaluation index system with T-PIGN is proposed. Finally, the applicability of the proposed method is verified by concrete examples.
