| 对方案有偏好的三角模糊数型多属性决策方法研究 |
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| 引用本文： | 徐泽水.对方案有偏好的三角模糊数型多属性决策方法研究[J].系统工程与电子技术,2002,24(8):9-12. |
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| 作者姓名： | 徐泽水 |
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| 作者单位： | 东南大学经济管理学院,江苏,南京,210096 |
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| 基金项目： | 国家自然科学基金资助课题 (79970 0 93 ) |
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| 摘 要： | 研究了这样一类多属性决策问题 :①决策者对方案有偏好 ;②属性值以三角模糊数形式给出 ;③属性的权重信息不能完全确知。提出了一种基于相似度的对方案有偏好的三角模糊数型多属性决策方法 ,该方法首先建立一个线性规划模型 ,通过求解该模型获得属性权重。然后 ,基于三角模糊数两两比较的可能度公式及互补判断矩阵的排序公式 ,对决策方案进行排序和择优。最后进行了算例分析。
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| 关 键 词： | 三角模糊数 权重 模型 多属性决策 |
| 文章编号： | 1001-506X(2002)08-0009-04 |
| 修稿时间： | 2001年5月23日 |
Study on Method for Triangular Fuzzy Number-Based Multi-Attribute Decision Making With Preference Information on Alternatives |
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| XU Ze,shui.Study on Method for Triangular Fuzzy Number-Based Multi-Attribute Decision Making With Preference Information on Alternatives[J].System Engineering and Electronics,2002,24(8):9-12. |
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| Authors: | XU Ze shui |
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| Abstract: | We study the multi attribute decision making problem, in which the attribute weight information is incomplete, and the elements in decision making matrix and subjective preference values are triangular fuzzy numbers, and propose a similarity degree based method for triangular fuzzy number based multi attribute decision making with preference information on alternatives By using this method, a linear programming model is established firstly, and the attribute weights are derived by solving this model, then, based on a possibility degree formula for comparing two triangular fuzzy numbers and a formula for priorities of complementary judgement matrix, a priority method for alternatives is presented Finally, a numerical example is given. |
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| Keywords: | Triangular fuzzy number Weight Model Multi attribute decision making |
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