| 模糊判断矩阵的特征向量排序方法 |
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| 引用本文： | 巩在武,刘思峰.模糊判断矩阵的特征向量排序方法[J].运筹与管理,2006,15(4):27-32. |
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| 作者姓名： | 巩在武 刘思峰 |
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| 作者单位： | 南京航空航天大学,经济与管理学院,江苏,南京,210016 |
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| 基金项目： | 国家自然科学基金;高等学校博士学科点专项科研项目 |
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| 摘 要： | 从相关性角度提出了互反判断矩阵排序的特征向量方法。利用两类一致性模糊判断矩阵与完全一致性互反判断矩阵的相互转换公式，给出了基于加性一致性指标与乘性一致性指标的模糊判断矩阵特征向量排序方法，最后利用这些方法进行了算例分析，结果表明这些新的排序方法是有效可行的。
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| 关 键 词： | 多属性决策 互反判断矩阵 模糊判断矩阵 特征向量 排序 |
| 文章编号： | 1007-3221(2006)04-0027-06 |
| 收稿时间： | 12 29 2005 12:00AM |
| 修稿时间： | 2005年12月29 |
Eigenvector Methods for Priorities of Fuzzy Judgment Matrix |
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| GONG Zai-wu,LIU Si-feng.Eigenvector Methods for Priorities of Fuzzy Judgment Matrix[J].Operations Research and Management Science,2006,15(4):27-32. |
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| Authors: | GONG Zai-wu LIU Si-feng |
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| Institution: | College of Economics and Management, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China |
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| Abstract: | New eigenveetor method for priority of reciprocal judgment matrix based on eorrelativity is proposed. Using the transformation formulas between perfectly consistent reciprocal judgment matrix and consistent fuzzy judgment matrix, this paper also puts forward new eigenveetor ways for priority of fuzzy judgment matrix grounded on additive consistency and multiplieative consistency. It is illustrated by numerical examples that these approaches of judgment matrices are effective. |
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| Keywords: | multi-attribute decision AHP judgment matrix fuzzy judgment matrix eigenveetor priority |
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