| 三角模糊数互补判断矩阵排序的最小方差法 |
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| 引用本文： | 和媛媛,周德群,王强.三角模糊数互补判断矩阵排序的最小方差法[J].控制与决策,2008,23(10). |
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| 作者姓名： | 和媛媛 周德群 王强 |
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| 作者单位： | 南京航空航天大学,经济与管理学院,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： | 研究偏好信息为三角模糊数互补判断矩阵形式给出的方案排序方法.根据三角模糊数互补判断矩阵完全一致性的概念,建立了一个基于最小方差的非线性规划模型.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,并利用三角模糊数排序公式对决策方案进行排序.最后通过算例分析表明了所提出的方法是可行而有效的.
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| 关 键 词： | 三角模糊数互补判断矩阵 完全一致性 非线性规划模型 排序 |
| 收稿时间： | 2007-7-27 |
| 修稿时间： | 2007-10-29 |
Least variance priority method for triangular fuzzy number complementary judgment matrix |
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| HE Yuan-yuan,ZHOU De-qun,WANG Qiang.Least variance priority method for triangular fuzzy number complementary judgment matrix[J].Control and Decision,2008,23(10). |
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| Authors: | HE Yuan-yuan ZHOU De-qun WANG Qiang |
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| Affiliation: | HE Yuan-yuan,ZHOU De-qun,WANG Qiang(College of Economics , Management,Nanjing University of Aeronautics , Astronautics,Nanjing 210016,China.) |
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| Abstract: | The priority method of complementary judgment matrix is studied,in which the preference information takes the form of triangular fuzzy number judgment matrix.Based on the concept of complete consistency for triangular fuzzy number complementary judgment matrix,a non-linear programming model is set up based on least variance method.The weight vector of triangular fuzzy number complementary judgment matrix is obtained by solving the model.By using a priority formula of triangular fuzzy numbers,the decision al... |
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| Keywords: | Triangular fuzzy number complementary judgment matrix Complete consistency Non-linear programming model Priority |
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