一种基于三元区间数的多指标决策法
发布时间：2019-02-21 17:30
【摘要】：利用三元区间数,对权重未知的多指标决策问题进行了研究。在定义三元区间数排序公式的基础上,利用拉哥郎日函数确定决策方案平衡系数大小的情况下,建立了多指标决策问题的数学模型。并利用离差法确定各指标权重值的情况下,把离差法拓展为三元区间数型形式。在确定关联度的基础上,对模型进行了求解,并对决策模型进行了实际应用,结果表明该法科学合理、计算简单、所需信息量少。
[Abstract]:In this paper, the problem of multi-index decision-making with unknown weights is studied by using the number of ternary regions. On the basis of defining the order formula of the number among the ternary regions, the mathematical model of the multi-index decision making problem is established under the condition that the equilibrium coefficient of the decision scheme is determined by the Ragorang daily function. When the weight of each index is determined by using the deviation method, the deviation method is extended to the form of number between three areas. On the basis of determining the correlation degree, the model is solved and the decision model is applied in practice. The results show that the method is scientific and reasonable, simple to calculate and requires less information.
【作者单位】： 合肥工业大学理学院 合肥工业大学机械与汽车工程学院
【基金】：合肥工业大学科学研究发展基金资助项目(061002F)
【分类号】：C934
[Abstract]:In this paper, the problem of multi-index decision-making with unknown weights is studied by using the number of ternary regions. On the basis of defining the order formula of the number among the ternary regions, the mathematical model of the multi-index decision making problem is established under the condition that the equilibrium coefficient of the decision scheme is determined by the Ragorang daily function. When the weight of each index is determined by using the deviation method, the deviation method is extended to the form of number between three areas. On the basis of determining the correlation degree, the model is solved and the decision model is applied in practice. The results show that the method is scientific and reasonable, simple to calculate and requires less information.
【作者单位】： 合肥工业大学理学院 合肥工业大学机械与汽车工程学院
【基金】：合肥工业大学科学研究发展基金资助项目(061002F)
【分类号】：C934
【参考文献】
相关期刊论文 前10条
1 胡启洲;张卫华;于莉;;三参数区间数研究及其在决策分析中的应用[J];中国工程科学;2007年03期
2 吴江,黄登仕;区间数排序方法研究综述[J];系统工程;2004年08期
3 胡启洲,石琴,张卫华,张爱萍;城市公交线网优化的理想决策方法[J];交通运输工程学报;2005年01期
4 刘家学,黄德成;多指标决策的最优线性分派法[J];系统工程与电子技术;2000年07期
5 卜广志,张宇文;基于三参数区间数的灰色模糊综合评判[J];系统工程与电子技术;2001年09期
6 张吉军,樊玉英;权重为区间数的多指标决策问题的逼近理想点法[J];系统工程与电子技术;2002年11期
7 钱钢,徐泽水;三种基于理想点的不确定多属性决策优化模型[J];系统工程与电子技术;2003年05期
8 金菊良,汪淑娟,魏一鸣;动态多指标决策问题的投影寻踪模型[J];中国管理科学;2004年01期
9 罗党,刘思峰;灰色关联决策方法研究[J];中国管理科学;2005年01期
10 孙晓东,焦s，
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