| 基于广义一致性变换的相异标度法构造的判断矩阵的排序 |
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| 引用本文： | 周兴慧,张吉军.基于广义一致性变换的相异标度法构造的判断矩阵的排序[J].数学的实践与认识,2011,41(1). |
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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，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,给出了参数β取值范围的一个合理区间.进而归纳出由不同标度法构造的判断矩阵的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 |
On Ranking of Judgement Matrix Structured by Different Scales based on Generalized Consistency Transformtion |
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| ZHOU Xing-hui,ZHANG Ji-jun.On Ranking of Judgement Matrix Structured by Different Scales based on Generalized Consistency Transformtion[J].Mathematics in Practice and Theory,2011,41(1). |
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| Authors: | ZHOU Xing-hui ZHANG Ji-jun |
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| Abstract: | Aiming at the consistency testing and ranking problems of Judgement matrix s structured by different scales,this paper defines the generalized consistency transformation of Judgement matrix,and demonstrates properties of fuzzy complementary matrix after the generalized consistency transformation.By contrasting with related literatures,the result of the paper has a wider scope of application.It also intensifies the understanding of parameterβ.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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