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比较法确定多属性决策问题属性权重的灵敏度分析
引用本文:马健,孙秀霞.比较法确定多属性决策问题属性权重的灵敏度分析[J].系统工程与电子技术,2011,33(3):585-589.
作者姓名:马健  孙秀霞
作者单位:空军工程大学工程学院, 陕西 西安 710038
基金项目:中国博士后科学基金,航空科学基金(20080896009)资助课题
摘    要:属性权重的确定将直接影响多属性决策的求解结果,灵敏度分析可以判断决策结论的稳定性。针对比较法所得属性权重进行方案排序,利用经典的线性规划方法,将属性线性相关约束分解为两类物理意义更清晰的属性相关形式表示的约束条件,求解维持既定方案排序的权重变化区间,得出对既定决策排序结果最敏感的属性,从而辅助决策者做出更加合理的决策。计算实例表明,该方法具有可操作性和实用性。

关 键 词:灵敏度分析  多属性决策  比较法  属性权重

Sensitivity analysis on attribute weight ascertained by comparison method in multiple attribute decision making
MA Jian,SUN Xiu-xia.Sensitivity analysis on attribute weight ascertained by comparison method in multiple attribute decision making[J].System Engineering and Electronics,2011,33(3):585-589.
Authors:MA Jian  SUN Xiu-xia
Institution:Engineering College, Air Force Engineering University, Xi’an 710038, China
Abstract:The result of multiple attribute decision making is directly influenced by the ascertaining of attribute weight, and sensitivity analysis is usually used to analyze the stability of project taxis result. Two kinds of restrictions due to attribute correlation are constructed by making use of classical linear programming methods, and the feasible area of attribute weight to ensure the taxis result of attribute weight from comparison method is worked out. According to the range of the feasible area, the most sensitive attribute is picked out, thus improving the decision making. The case shows that the sensitivity analysis method is exercisable and applicable.
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