| 成对比较矩阵的一种逼近 |
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| 引用本文： | 蒋正新,魏挹湘.成对比较矩阵的一种逼近[J].北京航空航天大学学报,1989(3):33-38. |
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| 作者姓名： | 蒋正新 魏挹湘 |
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| 作者单位： | 北京航空航天大学应用数理系
(蒋正新)，北京航空航天大学航空工业系统工程系(魏挹湘) |
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| 摘 要： | 本文证明了成对比较矩阵在相容性矩阵集合中的最佳逼近的存在性和不唯一性。再通过微分同胚,把原来的非线性逼近转化成一个线性逼近,用投影定理予以解决。并用一个例子说明该方法的简易可行。
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| 关 键 词： | 比较矩阵 逼近 投影定理 |
A KIND OF APPROXIMATION OF PAIRWISE COMPARISON MATRICES |
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| Jiang Zhengxin Wei Yixiang.A KIND OF APPROXIMATION OF PAIRWISE COMPARISON MATRICES[J].Journal of Beijing University of Aeronautics and Astronautics,1989(3):33-38. |
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| Authors: | Jiang Zhengxin Wei Yixiang |
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| Institution: | Department of Mathematics and Physics |
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| Abstract: | The existence of a best approximation of the pairwise comparison matrix from the set of consistent matrices is proved.At the same time,this paper also proves that there are many excellent approximations.Then,by diffeomorphism,the primary nonlinear approximation is transformed into a linear one.Since an approximate method is used,the best approximation is obtained.Finally,a simple example is given. |
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| Keywords: | comparison matrix consistent matrix best approximation diffeomOrphism projection theorem |
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