区间层次分析法的权重求解方法初探.pdfVIP

2004 年 11 月 系统工程与电子技术 Nov. 2004 第 26 卷 　第 11 期 Systems Engineering and Electronics Vol26 　No11 ( ) 　文章编号 :1001506X 2004 　 　 区间层次分析法的权重求解方法初探 肖　峻 , 王成山 , 罗凤章 (天津大学电气与自动化工程学院 , 天津 300072) 摘 　要 : 为综合比较各种区间层次分析法的权重求解方法 ,通过对计算结果的定性分析和定量比较 ,对其中 5 种方法的精度以及在综合评判决策中的适用性作出了评价 ,并指出其在实际中应用的原则 。实际综合评判决策多 为离线计算 ,对每个判断矩阵都可调用多种方法计算权重及其误差 ,取误差最小的权重作为结果 。针对以往文献中迭 代算法的缺陷提出了改进方法 ;研究了随机模拟法中样本容量与精度的关系及分布规律 ;分析了LM 模型无解的原因 并给出了相应的处理方法 ,并提出了LM 模型是否存在可行解可作为区间判断矩阵一致性校验的一种方法 。 关键词 : 区间层次分析法 ; 权重 ; 评价 ; 迭代法 中图分类号 :C934 　　　　文献标识码 :A Exploration on the methods of weight calculation in the intervalbased A HP XIAO Jun , WAN G Chengshan , LUO Fengzhang ( School of Electrical Engineering and A utomation , Tianj in University , Tianj in 300072 , China) Abstract : For comparing the accuracies of different methods of weight calculation in intervalbased analytic hier archy process ( IAHP) , five methods are studied . By comparison and analysis of the results , accuracy of these methods is evaluated and the principle of applying different methods to practical multiattribute decisionmaking (MADM) is concluded . In case of offtime MADM , various algorithms can be invoked and the weights with the minimal error will be the final results. In addition , some improvements are made to increase the accuracey of the iteration algorithm. As to random simulation method , the relationship between accuracy and sample capacity and the rules of probability distribu tion are studied . In addition , the reason that the lower model (LM) algorithm has no solution in some cases