| 基于线性规划的区间标度层次分析法 |
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| 引用本文： | 郭均鹏,吴育华,李汶华.基于线性规划的区间标度层次分析法[J].哈尔滨工业大学学报,2007,39(2):334-336. |
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| 作者姓名： | 郭均鹏 吴育华 李汶华 |
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| 作者单位： | 天津大学,管理学院,天津,300072;天津大学,管理学院,天津,300072;天津大学,管理学院,天津,300072 |
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| 基金项目： | 天津大学管理学院青年教师科研基金资助项目 |
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| 摘 要： | 将传统的层次分析法由“点”标度扩展到区间标度,得到区间标度层次分析法.基于区间判断矩阵的权向量的可行域,对其进行一致性检验.并讨论了区间向量的标准化问题,建立了求解区间判断矩阵的区间权向量的线性规划模型.通过两个线性规划模型,自下而上计算各方案相对于各指标的组合区间权重,并给出了区间层次总排序的算法.算例验证了方法的有效性.
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| 关 键 词： | 线性规划 区间判断矩阵 区间标度 层次分析法 |
| 文章编号： | 0367-6234(2007)02-0334-03 |
| 修稿时间： | 2005-10-22 |
Interval scales analytic hierarchy process based on linear programming |
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| GUO Jun-peng,WU Yu-hua,LI Wen-hua.Interval scales analytic hierarchy process based on linear programming[J].Journal of Harbin Institute of Technology,2007,39(2):334-336. |
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| Authors: | GUO Jun-peng WU Yu-hua LI Wen-hua |
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| Affiliation: | Management School of Tianjin University;Tianjin 300072;China |
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| Abstract: | The interval scales analytic hierarchy process(AHP) is obtained by extending exact scales of the original AHP to interval scales.The feasible region of weight vectors of the interval judgment matrix is defined.By this means consistency check of interval judgment matrix is made. Normalization of interval vectors is studied,and linear programming model is built by which the interval weight vector is obtained.By two linear programming models,from bottom to top,the combined interval weight of every alternative ... |
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| Keywords: | linear programming interval judgment matrix interval scales the analytic hierarchy process |
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