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文章介绍了利用数据包络分析法(DEA)获取层次分析法(AHP)中判断矩阵权重排序的方法,探讨了它的可行性.通过算例显示出该模型适用性广泛.同时,当准则含有决策者偏好时,传统的特征向量方法无法进行调整而显得无能为力.而改进了的运用公共权重计算的DEA方法可以体现出这种差异,从而反映了这种方法的优越性.
Abstract：The paper introduces a method of DEA for weight priority of judgment matrix in the analytic hierarchy process (AHP) and discusses the feasibility of this method. A simulation example offered indicates the wide adaptability of the model. In addition, when the preferences of decision makers are considered, traditional method of eigenvector can′t show the difference due to its failure of adjustment, while the improved method of DEA with common weight can. This comparison shows the DEA method is effective and applicable.
[1]Satty T L.The analytic hierarchy process[M].NewYork:Mc-Graw-Hill,1980.
[2]Saaty T L.Axiomatic foundation of the analytic hierarchy process[J].Management Science,1986,32:841-855.
[3]Charnes A,Cooper W W,Rhodes E.Measuring the ef.ciency of decision making units[J].European Journal of Op-erations Research,1978,2:429-444.
[4]徐成龙,吴健中.决策单元相互评价模型及其应用研究[J].系统工程理论方法应用,2000,9(1):78-81.
[5]Zhu J.Data envelopment analysis with preference structure[J].Journal of the Operational Research Society,1996,47:136-150.
[6]Sinuany-Stern Z,Abraham M,Yossi H.An AHP/DEA methodology for ranking decision making units[J].Interna-tional Transactions in Operational Research,2000,7(2):109-124.
[7]Ramakrishnan Ramanathan.Data envelopment analysis for weight derivation and aggregation in the analytic hierarchy process[J].Computers&Operations Research,2006,133:1289-1307.
[8]王应明.判断矩阵排序方法综述[J].决策与决策支持系统,1995,5(3):101-113.
基本信息:
DOI：
中图分类号:O241.6
引用信息:
[1]余跃,林道荣.以数据包络分析法进行判断矩阵排序的AHP方法及其算例[J].南通大学学报(自然科学版),2007,No.20(01):15-19.
基金信息:
南通大学自然科学基金项目(03040049)