| 三角模糊数互补判断矩阵排序方法研究 |
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| 引用本文： | 徐泽水.三角模糊数互补判断矩阵排序方法研究[J].系统工程学报,2004,19(1):85-88. |
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| 作者姓名： | 徐泽水 |
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| 作者单位： | 中国人民解放军理工大学理学院,江苏,南京,210007 |
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| 基金项目： | 国防科技预研基金资助项目(00J6.4.2.JB3804)，解放军理工大学理学院青年科研基金资助项目(Q02Y01). |
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| 摘 要： | 研究了决策信息以三角模糊数互补判断矩阵形式给出的多属性决策问题．提出了三角模糊数一致性互补判断矩阵等概念，建立了一个线性目标规划模型．通过求解该模型得到三角模糊数互补判断矩阵的权重向量，并利用已有的三角模糊数排序公式求得决策方案的排序．最后给出了一个算例．
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| 关 键 词： | 多属性决策 三角模糊数互补判断矩阵 排序方法 互反判断矩阵 互补判断矩阵 |
| 文章编号： | 1000-5781(2004)01-0085-04 |
On priority method of triangular fuzzy number complementary judgement matrix |
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| XU Ze-shui.On priority method of triangular fuzzy number complementary judgement matrix[J].Journal of Systems Engineering,2004,19(1):85-88. |
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| Authors: | XU Ze-shui |
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| Abstract: | This paper studies the multi-attribute decision making problem, in which the decision information takes the form of triangular fuzzy number complementary judgement matrix. Some concepts such as triangular fuzzy number consistent complementary judgement matrix, etc., are given and a linear objective programming model is established. The weight vector of triangular fuzzy complementary judgement matrix is obtained by solving the model. By using a existing priority formula of triangular fuzzy numbers, the decision alternatives are ranked. Finally, a numerical example is given. |
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| Keywords: | triangular fuzzy complementary judgement matrix linear objective programming model priority |
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