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一种用于判断矩阵排序的扩展最小二乘方法
引用本文:王应明.一种用于判断矩阵排序的扩展最小二乘方法[J].厦门大学学报(自然科学版),1997,36(2):189-196.
作者姓名:王应明
作者单位:厦门大学自动化系
摘    要:对判断矩阵排序提出一种新的扩展最小二乘方法(ELSM),并从理论上给出相应的收敛性迭代算法和一致性检验方法.与最小二乘排序方法LSM相比较,新的排序方法ELSM保序性好,排序结果准确;与特征向量排序方法EM相比较,ELSM排序方法虽然算法复杂些,但概念更清楚,涵义更明确,更为突出的优点是可以推广应用于群组判断矩阵排序.最后通过仿真实例说明ELSM排序方法的优越性

关 键 词:判断矩阵,排序方法,一致性检验,保序性特性

A Extensional Least Square Priority Method Used for Comparison Matrix
Wang Yingming.A Extensional Least Square Priority Method Used for Comparison Matrix[J].Journal of Xiamen University(Natural Science),1997,36(2):189-196.
Authors:Wang Yingming
Abstract:A new extensional least square priority method of comparison matrix (ELSM) is proposed and its convergent iteration algorithm and a consistency checking method suitable for priorities are also given. The ELSM has better rank preservation property and more exact priority results than the least square priority method (LSM).Compared with the traditional priority method (EM), the ELSM is easier to be understood and can also be used for priority method of group comparison matrices. The superiorities of ELSM are shown by several examples.
Keywords:Comparison matrix  Priority method  Consistency check  Rank preservation property
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