| 判断矩阵的广义一致性变换及其排序的一种算法 |
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| 引用本文： | 周兴慧,张吉军.判断矩阵的广义一致性变换及其排序的一种算法[J].浙江大学学报(理学版),2011,38(2):157-162,193. |
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| 作者姓名： | 周兴慧 张吉军 |
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| 作者单位： | 西南石油大学,经济管理学院,四川,成都,610500 |
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| 基金项目： | "油气藏地质及开发工程"国家重点实验室开放基金资助项目，四川石油天然气发展研究中心2009年度重点课题资助项目 |
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| 摘 要： | 针对不同标度构造的判断矩阵的一致性检验以及排序问题,给出了判断矩阵广义一致性变换的定义,并论证了判断矩阵经广义一致性变换后所具有的性质.通过对比分析指出本文的研究结论具有更广的应用范围,深化了对参数β的理解,给出了该参数取值范围的一个合理区间.最后,归纳出由不同标度构造的判断矩阵具体的广义一致性变换及其排序方法.
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| 关 键 词： | 判断矩阵 广义一致性变换 模糊一致矩阵 排序 |
Generalized consistency transformtion of judgement matrix and a lgorithm of ranking |
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| ZHOU Xing-hui,ZHANG Ji-jun.Generalized consistency transformtion of judgement matrix and a lgorithm of ranking[J].Journal of Zhejiang University(Sciences Edition),2011,38(2):157-162,193. |
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| Authors: | ZHOU Xing-hui ZHANG Ji-jun |
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| Institution: | ZHOU Xing-hui,ZHANG Ji-jun(School of Economics and Management,Southwest Petroleum University,Chengdu 610500,China) |
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| Abstract: | Aiming at the consistency testing and ranking problems of Judgement matrixs structured by different scales,this paper defines the generalized consistency transformation of Judgement matrix,and demonstrates properties of Judgement matrix after the generalized consistency transformation.By contrasting with related literatures,the result of the paper has a wider scope of application.It also deepens the understanding of parameter β.And the interval of parameter values is located reasonably in this paper.Finally,this paper gives a conclusion about different specific generalized consistency transformations and ranking methods of Judgement matrixs structured by different scales. |
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| Keywords: | judgement matrix generalized consistency transformation fuzzy consistent matrix ranking |
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