| 不完全判断矩阵的一致性及权重估值模型研究 |
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| 引用本文： | 朱建军,王梦光,刘士新.不完全判断矩阵的一致性及权重估值模型研究[J].系统工程学报,2006,21(1):75-80. |
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| 作者姓名： | 朱建军 王梦光 刘士新 |
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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. 东北大学信息科学与工程学院,辽宁,沈阳,110004 |
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| 基金项目： | 国家自然科学基金资助项目(70301007)，国家863计划CIMS主题资助项目(2002AA412010)，辽宁省博士启动基金资助项目(20021011)，沈阳市自然科学基金资助项目(1022036-1-04)，中国博士后科学研究基金项目(2005038575) |
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| 摘 要： | 研究层次分析法中不完全判断矩阵的若干问题,基于随机确定性判断矩阵的概念,定义不完全判断矩阵局部一致性和局部满意一致性,并建立判别不完全判断矩阵是否具有局部满意一致性的数学概念模型;针对Harker方法没有充分估计不完全判断矩阵内含不确定性的缺点,建立一个新模型来估计权重的上、下限范围,模型采用颗粒群优化算法求解.
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| 关 键 词： | 层次分析法 不完全判断矩阵 等价判断矩阵 权重优化模型 颗粒群优化算法 |
| 文章编号： | 1000-5781（2006）01-0075-06 |
| 收稿时间： | 2004-02-10 |
| 修稿时间： | 2004-02-102005-09-09 |
Study of consistency and weight estimation model of incomplete comparison matrix |
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| ZHU Jian-jun,WANG Meng-guang,LIU Shi-xin.Study of consistency and weight estimation model of incomplete comparison matrix[J].Journal of Systems Engineering,2006,21(1):75-80. |
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| Authors: | ZHU Jian-jun WANG Meng-guang LIU Shi-xin |
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| Institution: | 1. College of Economics and Management, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China; 2. School of Information Science and Engineering, Northeastern University, Shenyang 110004, China |
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| Abstract: | This paper studies several problems of the incomplete pairwise comparison matrix(IPCM) in the analytical hierarchy process.According to the definition of stochastic crisp comparison matrix,the local consistency and the local satisfactory consistency of IPCM are defined.Then,a mathematical notion model is developed to determine whether the IPCM is consistent or not.In addition,to solve the lack of Harker's method that it can not estimate the uncertainty of the incomplete pairwise comparison matrix,a new weight model is put forward,which is solved by particle swarm optimization algorithm to estimate the weight's upper range and low range. |
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| Keywords: | analytical hierarchy process incomplete comparison matrix equivalent comparison matrix weight optimization model particle swarm optimization algorithm |
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