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广义判断下AHP(GJAHP)的一致性检验与可接受性的进一步探讨
引用本文:李元左. 广义判断下AHP(GJAHP)的一致性检验与可接受性的进一步探讨[J]. 系统工程理论与实践, 1995, 15(10): 71-77. DOI: 10.12011/1000-6788(1995)10-71
作者姓名:李元左
作者单位:国防科工委指挥技术学院
摘    要:广义判断下的AHP(GJAHP)是在单准则下通过构造广义判断矩阵的数学模型而建立的一种广义AHP.本文提出了广义判断矩阵一致性的一种非参数统计检验方法--spearman秩相关系数法, 给出了广义辅助矩阵的构造性定义, 并进一步探讨了广义判断矩阵的可接受性。最后本文给出了GJAHP的应用实例。

关 键 词:层次分析法(AHP)  广义判断下的AHP(GJAHP)  广义判断矩阵  广义辅助矩阵  一致性检验  Spearman秩相关系数  可接受性  
收稿时间:1994-07-06

A Further Study on the Consistency Test and Acceptability of the Analytic Hierarchy Process in Generalized Judgement
Li Ynanzuo. A Further Study on the Consistency Test and Acceptability of the Analytic Hierarchy Process in Generalized Judgement[J]. Systems Engineering —Theory & Practice, 1995, 15(10): 71-77. DOI: 10.12011/1000-6788(1995)10-71
Authors:Li Ynanzuo
Affiliation:Institute of Command Technology, COSTIND, Huairou Beijing 101407
Abstract:The Analytic Hierarchy Process in Generalized Judgement (GJAHP),established by constructing mathematicdmodel of generalized judgement matriX under one criterion, is a kinds of generalized analytic hierarchy process(GAHP) ,This paper gives a nonparametric statistical test of generalized judgement matrix’s consistency the Spearman rank-order correlation coefficient and defines the generalized assistent matrix of generalized judgement matrix, and still it further studies the acceptability of generalized judgement matrix. Finally; the thesis cites a praictical case.
Keywords:AHP  the analytic hierarchy process in generalized judge-ment(GJAHP)  generalized judgement matrix  generalized assistent ma-tri  consistency test  Speaman rank-order correlation  coefficient  accept-ability
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