| 区间数互补判断矩阵一致性及其权重算法研究 |
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| 引用本文： | 冯向前,魏翠萍,李宗植,胡钢.区间数互补判断矩阵一致性及其权重算法研究[J].数学的实践与认识,2007,37(19):87-93. |
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| 作者姓名： | 冯向前 魏翠萍 李宗植 胡钢 |
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| 作者单位： | 1. 南京航空航天大学,经济与管理学院,江苏,南京,210016
2. 曲阜师范大学运筹与管理学院,山东,日照,276826 |
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| 摘 要： | 研究了区间数互补判断矩阵的一致性和权重求解新方法.基于权重可行域定义了区间数互补判断矩阵一致性,给出了判别其是否具有一致性的简洁方法,为区间数互补判断矩阵排序的可靠性提供了更加合理的理论依据;针对区间数互补判断矩阵是否具有一致性,建立了不同的优化模型求解其排序向量,并且给出了具体的算法步骤;最后用算例验证了方法的有效性和适用性.
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| 关 键 词： | 不确定层次分析法 区间数互补判断矩阵 一致性 |
| 修稿时间： | 2006年8月3日 |
On Consistency and Priority Method of Interval Complementary Judgment Matrix |
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| FENG Xiang-qian,WEI Cui-ping,LI Zong-zhi,HU Gang.On Consistency and Priority Method of Interval Complementary Judgment Matrix[J].Mathematics in Practice and Theory,2007,37(19):87-93. |
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| Authors: | FENG Xiang-qian WEI Cui-ping LI Zong-zhi HU Gang |
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| Abstract: | Whether the interval judgment matrix has satisfying consistency directly influence if the ranking result can reflect the truth ranking about alternatives.A consistency method is presented with regard to the interval complementary judgment matrix.Firstly,consistency of the interval complementary judgment matrix is defined.At the same time,a simple judgment approach is given.Then the optimal programming models are given toward the different results.Finally,a numerical example is provided to illustrate the effectiveness and practicality of the proposed methods. |
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| Keywords: | uncertain type of the analytical hierarchy process interval complementary judgment matrix consistency |
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