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广义层次分析法
引用本文:肖人彬,费奇,陈珽.广义层次分析法[J].控制与决策,1993(6).
作者姓名:肖人彬  费奇  陈珽
作者单位:华中理工大学系统工程研究所,华中理工大学系统工程研究所,华中理工大学系统工程研究所 武汉 430074,武汉 430074,武汉 430074
摘    要:本文从系统结构分析入手,指出了传统层次分析法的不足,并对其加以拓广,提出了广义层次分析法(GAHP)。文中首先定义了广义层次结构,然后引入若干新概念,讨论了GAHP的单一准则下的元素排序,给出了合成排序定理。最后研究了GAHP的保序性,并得到相应的结论。

关 键 词:广义层次分析法  排序  保序性  解释结构建模  结构分析

The Generalized Analytic Hierarchy Process
Xiao Renbin,Fei Qi,Chen Ting.The Generalized Analytic Hierarchy Process[J].Control and Decision,1993(6).
Authors:Xiao Renbin  Fei Qi  Chen Ting
Affiliation:Huazhong University of Science and Technology
Abstract:The deficiency of the traditional analytic hierarchy process is pointed out. Based upon the system structural analysis, an extension, viz. , the generalized analytic hierarchy process (GAHP), is put forward in this paper. First, the definition of the generalized hierarchy structure is given. Then some new concepts are introduced to discuss the element ordering under the single criterion of GAHP. A theorem for combined ordering is proposed. Finally, research on the rank preservation of GAHP is made and certain conclusion is reached.
Keywords:generalized analytic hierarchy process  ordering  rank preservation  interpretive structural modeling  structural analysis  
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