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| 判断矩阵的一个恰当的校正方法 | |
| 引用本文： | 蒋正新,魏挹湘.判断矩阵的一个恰当的校正方法[J].航空学报,1989,10(11):559-564. |
| 作者姓名： | 蒋正新 魏挹湘 |
| 作者单位： | 北京航空航天大学 (蒋正新)，北京航空航天大学(魏挹湘) |
| 摘 要： | 本文首先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。然后通过微分同胚,把原来的非线性逼近转化成一个线性逼近,从而用投影定理获得解决。算例证明该方法简易可行。 |
| 关 键 词： | 层次分析法 最佳逼近 成对比较矩阵 相容性矩阵 微分同胚 投影定理 |
| 收稿时间： | 1988-10-14; |
AN APPROPRIATE CORRECTIVE METHOD FOR THE JUDGEMENT MATRIX |
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| Beijing University of Aeronautics & Astronautics Jiang Zhengxin and Wei Yixiang.AN APPROPRIATE CORRECTIVE METHOD FOR THE JUDGEMENT MATRIX[J].Acta Aeronautica et Astronautica Sinica,1989,10(11):559-564. | |
| Authors: | Beijing University of Aeronautics & Astronautics Jiang Zhengxin and Wei Yixiang |
| Institution: | Beijing University of Aeronautics & Astronautics Jiang Zhengxin and Wei Yixiang |
| Abstract: | The existence of a best approximation to the pairwise comparison matrix from the set of consistent matrices is proved. At the same time, we can also prove that there are many best approximations. The transformation from the original non-linear approximation into a linear one by using diffeomorphism is proposed. Finally a method of best approximation is obtained, and a simple example is given. |
| Keywords: | analytic hierarchy process best approximation pai-rwise comparison matrix consistent matrix diffeomorphism projection theorem |
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