| 生成度量矩阵的新算法及拟度量矩阵的性质研究 |
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| 引用本文： | 张三强,周远国,詹棠森,李莉.生成度量矩阵的新算法及拟度量矩阵的性质研究[J].数学的实践与认识,2011,41(10). |
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| 作者姓名： | 张三强 周远国 詹棠森 李莉 |
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| 作者单位： | 景德镇陶瓷学院信息工程学院,江西景德镇,333403 |
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| 摘 要： | 阐述了生成度量矩阵的除法变换的新算法,这种算法使计算度量矩阵更简便,使数据的存贮空间大大减少.另外,得到了拟度量矩阵和拟判断矩阵的特征值和特征向量的关系,以及对广义成对比较矩阵和广义度量矩阵的性质进行了研究,这为不严格的成对比较矩阵的权重研究提供了较好的理论方法,为模糊矩阵的研究提供了较好的思想.
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| 关 键 词： | 拟度量矩阵 拟判断矩阵 除法变换法 |
On Studying Property of Quasimeasure Matrix and the New Algorithm of Generating Measure Matrix |
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| ZHANG San-qiang,ZHOU Yuan-guo,ZHAN Tang-sen,LI Li.On Studying Property of Quasimeasure Matrix and the New Algorithm of Generating Measure Matrix[J].Mathematics in Practice and Theory,2011,41(10). |
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| Authors: | ZHANG San-qiang ZHOU Yuan-guo ZHAN Tang-sen LI Li |
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| Institution: | ZHANG San-qiang,ZHOU Yuan-guo,ZHAN Tang-sen,LI Li (School of Information Engineering,Jingdezhen Ceramic Institute,Jingdezhen 333403,China) |
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| Abstract: | In this paper,the new algorithm of generating measure matrix is put forword basing on division transformation,this algorithm makes the calculation of measurematrix easier,reducing significantly the data storage space.In addition,the relationship of eigenvalues and eigenvectors on quasimeasure matrix and quasijudgement matrix are got,and property of generalized pair-wise comparison matrix and generalized measure matrix are studied,it provides a better theoretical method for studying weight of nonstrict pair-... |
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| Keywords: | quasimeasure matrix quasijudgement matrix division transformation method |
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