摘要
提出了一种改进的行和归一化排序方法 (INRAM) ,从保序性、置换不变性、相容性和累积优势度等方面对该方法的合理性进行了研究 ,并且利用互补判断矩阵和互反判断矩阵之间的转换公式 ,给出了相应的求解互补判断矩阵排序向量的算法 ,从而丰富和发展了互反和互补判断矩阵的排序理论 .最后 ,通过算例将NRAM法和INRAM法与特征根排序方法 (EM)及对数最小二乘法 (LLSM)作了对比分析 .数值结果表明 :INRAM法不仅简洁易行 ,而且与EM法的排序结果完全一致 。
An improved normalizing rank aggregation method (INRAM) for priorities of reciprocal judgment matrices is presented and some of its desirable properties such as rank preservation, compatibility and cumulative dominance are studied. By using the transformation formulas of reciprocal judgment matrix and complementary judgment matrix, the corresponding method for priorities of complementary judgment matrix is given. The priority theory of reciprocal judgment matrices and complementary judgment matrices is thus developed. The normalizing rank aggregation method (NRAM) and the INRAM are compared with the eigenvector priority method and the logarithmic least squares method through some numerical examples. The numerical results show that the INRAM is simple, feasible and can get the same priorities as that with the eigenvector priority method.
出处
《东南大学学报(自然科学版)》
EI
CAS
CSCD
北大核心
2004年第4期518-522,共5页
Journal of Southeast University:Natural Science Edition
基金
国家自然科学基金资助项目 ( 79970 0 94)
中国博士后科学基金资助项目 ( 2 0 0 3 0 3 43 66) .
关键词
层次分析法
行和9-5-化排序方法
排序
Agglomeration
Decision making
Matrix algebra
Modification
Queueing theory
Vectors