| 基于遗传模拟退火算法的判断矩阵一致性修正 |
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| 引用本文： | 王迅,董玉成,陈义华.基于遗传模拟退火算法的判断矩阵一致性修正[J].系统工程学报,2006,21(1):107-111. |
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| 作者姓名： | 王迅 董玉成 陈义华 |
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| 作者单位： | 1. 西安交通大学管理学院,陕西,西安,710049
2. 重庆大学数理学院,重庆,400044 |
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| 基金项目： | 国家自然科学基金委员会优秀创新群体资助项目(70121001) |
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| 摘 要： | 分析了判断矩阵一致性修正中存在的问题.把专家判断矩阵的不一致性看成在其特征矩阵受到扰动后形成的,在达到满意一致性阈值的前提下使扰动量修改最小,最终建立了专家判断矩阵一致性修正的一个非线性规划模型.设计了相应的遗传模拟退火算法用于求解这个非线性规划,并和已有的方法进行比较,数值计算证明模型是更有效的方法.
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| 关 键 词： | 判断矩阵 一致性 非线性规划 遗传模拟退火算法 |
| 文章编号： | 1000-5781（2006）01-0107-05 |
| 收稿时间： | 2004-02-24 |
| 修稿时间： | 2004-02-242005-07-04 |
Consistency modification of judgment matrix based on a genetic simulated annealing algorithm |
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| WANG Xun,DONG Yu-cheng,CHEN Yi-hua.Consistency modification of judgment matrix based on a genetic simulated annealing algorithm[J].Journal of Systems Engineering,2006,21(1):107-111. |
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| Authors: | WANG Xun DONG Yu-cheng CHEN Yi-hua |
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| Abstract: | It is assumed that the inconsistency of judgment matrix is formed after its eigenmatrix is disturbed.As a result,a nonlinear programming model is proposed for improving the consistency of the judgment matrix.In the model,disturbance quantity can be minimally modified and consistency threshold is also attained.Then a genetic simulated annealing algorithm is designed to solve the nonlinear programming model.Numerical calculation examples show that the presented model is more feasible and effective compared with existing methods. |
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| Keywords: | judgment matrix consistency nonlinear programming genetic simulated annealing |
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