| 基于FOWA算子的三角模糊数互补判断矩阵排序法 |
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| 引用本文： | 徐泽水.基于FOWA算子的三角模糊数互补判断矩阵排序法[J].系统工程理论与实践,2003,23(10):86-89. |
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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： | 解放军理工大学理学院青年科研基金(Q02Y01) |
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| 摘 要： | 研究了决策信息以三角模糊互补判断矩阵形式给出的有限方案决策问题。给出了一种模糊有序加权平均（FOWA）算子，利用该算子对以三角模糊数互补判断矩阵形式给出的判断信息进行了集结，基于三角模糊数期望值求得三角模糊数互补判断矩阵的排序向量，进而对决策方案进行排序。最后进行了算例分析。
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| 关 键 词： | 三角模糊数互补判断矩阵 模糊有序加权平均（FOWA）算子 排序 |
| 文章编号： | 1000-6788(2003)10-0086-04 |
| 修稿时间： | 2002年8月16日 |
A Priority Method for Triangular Fuzzy Number Complementary Judgement Matrix |
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| XU Ze-shui.A Priority Method for Triangular Fuzzy Number Complementary Judgement Matrix[J].Systems Engineering —Theory & Practice,2003,23(10):86-89. |
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| Authors: | XU Ze-shui |
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| Institution: | Institute of Sciences, PLA University of Science and Technology, Nanjing 210007, China) |
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| Abstract: | This paper studies the decision making problem with finite alternatives, in which the decision information takes the form of triangular fuzzy number complementary judgement matrix. A fuzzy ordered weighted averaging (FOWA) operator is presented and then utilized to aggregate the information given in the form of triangular fuzzy number complementary judgement matrix. The priority vector of triangular fuzzy number complementary judgement matrix is also obtained by mean of the expected values of triangular fuzzy numbers, and then used to rank the decision alternatives. Finally, a numerical example is given to illustrate the developed method. |
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| Keywords: | triangular fuzzy complementary judgement matrix fuzzy ordered weighted averaging (FOWA) operator priority |
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