| 区间数判断矩阵满意一致性递推排序方法研究 |
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| 引用本文： | 胡钢,冯向前,魏翠萍,李宗植.区间数判断矩阵满意一致性递推排序方法研究[J].山东大学学报(理学版),2007,42(11):89-93. |
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| 作者姓名： | 胡钢 冯向前 魏翠萍 李宗植 |
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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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| 基金项目： | 国家自然科学基金;山东省自然科学基金 |
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| 摘 要： | 研究了区间数判断矩阵的一致性和递推排序方法. 根据区间数判断矩阵的概念给出了区间数判断矩阵的完全一致性定义, 通过对完全一致性性质的讨论演绎出区间数判断矩阵的一致性和满意一致性定义及其判别方法，并且研究了一致性和满意一致性定义的合理性, 提出了求解区间数判断矩阵排序向量的递推排序方法, 最后用算例验证了方法的有效性.
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| 关 键 词： | 区间数判断矩阵 一致性 特征向量 标准化 |
| 文章编号： | 1671-9352（2007）11-0089-05 |
| 收稿时间： | 2007-05-08 |
Research on consistency and recursive priority of an interval number complementary judgment matrix |
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| HU Gang,FENG Xiang-qian,WEI Cui-ping,LI Zong-zhi.Research on consistency and recursive priority of an interval number complementary judgment matrix[J].Journal of Shandong University,2007,42(11):89-93. |
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| Authors: | HU Gang FENG Xiang-qian WEI Cui-ping LI Zong-zhi |
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| Institution: | 1. College of Economics and Management, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, Jiangsu;2. College of Operations Research and Management, Qufu Normal University, Rizhao 276826 |
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| Abstract: | The consistency and the recursive priority method of an interval number complementary judgment matrix were studied. According to the definition of an interval number complementary judgment matrix, the definition of complete consistency and satisfactory were introduced. Furthermore, the recursive method for the consistency of an interval number complementary judgment matrix was addressed from the perspective of complete consistency. Based on the interval-weight vector of the priority method, the method for recursive priorities of the interval number judgment matrix was proposed. Finally, a numerical example was given to illustrate the effectiveness of this method. |
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| Keywords: | interval number judgment matrix consistency eigenvector normalization |
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