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综合间接判断信息的排序方法 被引量:1

Permutation Method of Comprehensive Indirect Judging Information
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摘要 根据判断矩阵 A=(aij)n×n所提供的间接判断信息 ail· aij,ai2 ·a2j,…,ain·anj,用几何平 均法■对这些间接判断信息进行综合,构造一致性矩阵A=(aij)n×n,然后给判断矩阵A的求排向量,称这种排序算法为综合间接判断信息法,通过对这种排序方法与方根法、对数最小二乘法、最优传递矩阵法的关系的讨论,指出最优传递矩阵法与综合间接判断信息法所导出的排序向量最接近客观排序,因而是一种最优算法. In this paper, based on the indirect judging information ail·a1j, ai2 ,a2j, …, ain· anj, which were provided in the judging matrixA= (aij )nxn, by using the geometric average methods aij= to com- prehensive these judging information, a complete consistent matrix A= (aij )nxn was constructed and the sequencing vector of judgement matrix A was derived. This permutation methods was known as the Comprehensive indirect Judging Information Methods. Finally, the paper discusses the relationship among this method, root method, the logarithm least squares method and the optimal transfer matrix method and illustrates that if approach degree of objectivity sequencing vector is taken as the criterion, the optimal transfer matrix method and comprehensive indirect judging information method are the best ones.
作者 韦兰用
出处 《广西民族学院学报(自然科学版)》 CAS 2001年第2期84-86,共3页 Journal of Guangxi University For Nationalities(Natural Science Edition)
关键词 判断矩阵 一致性矩阵 排序 判断信息 Judgement Matrix Consistent Matrix Permutation
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