| 基于区间数互反判断矩阵的一致性调整新方法 |
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| 引用本文： | 徐改丽,谢晓兰.基于区间数互反判断矩阵的一致性调整新方法[J].桂林工学院学报,2013(2):376-381. |
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| 作者姓名： | 徐改丽 谢晓兰 |
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| 作者单位： | [1]桂林理工大学理学院,广西桂林541004 [2]桂林理工大学信息科学与工程学院,广西桂林541004 |
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| 基金项目： | 广西科学研究与技术开发计划项目（桂科攻11107014-4）; 广西教育厅科研项目（201106LX248）; 广西空间信息与测绘重点实验室基金项目（桂科能1103108-25）; 桂林市科学研究与技术开发计划项目（20110111-1） |
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| 摘 要： | 提出了一种区间数互反判断矩阵一致性和排序的新方法。首先根据已有的区间数互反判断矩阵的一致性定义给出了其一致性等价定义,通过定义导出矩阵,给出了完全一致性判别方法和满意一致指标,并根据此指标给出了一种完全一致性的逼近方法和满意一致的调整方法。最后通过对实互反判断矩阵权重公式的推广给出了区间数互反判断矩阵的一个权重计算公式,算例证明了此方法的有效性。
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| 关 键 词： | 区间互反判断矩阵 一致性 权重 一致性指标 |
Identifying and Improving Method for Consistency of Interval Reciprocal Judgment Matrices |
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| XU Gai-lia,XIE Xiao-lan.Identifying and Improving Method for Consistency of Interval Reciprocal Judgment Matrices[J].Journal of Guilin University of Technology,2013(2):376-381. |
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| Authors: | XU Gai-lia XIE Xiao-lan |
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| Affiliation: | b(a.College of Science;b.College of Information Science and Engineering,Guilin University of Technology,Guilin 541004,China) |
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| Abstract: | The consistency and ranking method for interval reciprocal judgment matrices are proposed in this paper.First the equivalent definitions of consistency are proposed based on the given consistency definition of interval reciprocal judgment matrices.Then a consistency checking method and a consistent index of an interval reciprocal judgment matrix are given.Complete consistency approximation approach and satisfied consistency adjusting approach of interval reciprocal judgment matrices are proposed based on the consistent index.Finally the weight computing formula are introduced by extending a weight computing formula for real number reciprocal judgment matrices.Two examples are used to illustrate the validity of proposed method. |
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| Keywords: | interval reciprocal judgment matrices consistency weight consistent index |
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