| 区间数判断矩阵的一致性研究 |
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| 引用本文： | 冯向前,魏翠萍,胡钢,李宗植.区间数判断矩阵的一致性研究[J].控制与决策,2008,23(2):182-186. |
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| 作者姓名： | 冯向前 魏翠萍 胡钢 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,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： | 研究区间数判断矩阵的一致性问题.首先对现有文献中有关区间数判断矩阵的一致性定义进行了总结、分析,指出定义中存在的不合理性.在此基础上给出区间数判断矩阵的完全一致性、强一致性、一致性和满意一致性定义,讨论这些定义和现有文献中相关定义的关系,论证了一致性等定义的合理性,并给出了一致性判别方法.最后通过算例验证了判别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 区间数判断矩阵 一致性 |
| 文章编号： | 1001-0920（2008）02-0182-05 |
| 收稿时间： | 2006-10-28 |
| 修稿时间： | 2007-01-29 |
Consistency of interval judgment matrix |
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| FENG Xiang-qian,WEI Cui-ping,HU Gang,LI Zong-zhi.Consistency of interval judgment matrix[J].Control and Decision,2008,23(2):182-186. |
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| Authors: | FENG Xiang-qian WEI Cui-ping HU Gang LI Zong-zhi |
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| Affiliation: | FENG Xiang-qian1,WEI Cui-ping2,HU Gang1,LI Zong-zhi1(1.College of Economics , Management,Nanjing University of Aeronautics , Astronautics,Nanjing 210016,China,2.College of Operations Research , Management,Qufu Normal University,Rizhao 276826,China.) |
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| Abstract: | The consistency problem of the interval judgment matrix is studied. Existing definitions on the consistency in some papers are firstly summarized and analyzed, and the invalidity in these definitions are pointed out. Furthermove, some definitions concerning the consistency of interval judgement matrix including perfect consistency, strong consistency, consistency and satisfactory consistency are proposed, and the relations between these definitions and the existing ones in some papers are discussed. The validity of these definitions is confirmed. Moreover, a method for testing consistency is given, and two examples show the effectiveness and potential practicality of this method. |
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| Keywords: | Uncertain type of the analytical hierarchy process Interval judgment matrix Consistency |
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