基于二元联系数距离的不确定语言多属性决策模型

发布时间：2018-05-11 04:44

本文选题：多属性决策 + 二元联系数　；参考：《数学的实践与认识》2012年21期

【摘要】：研究了属性权重范围已知,方案主观偏好值为语言变量,决策信息为不确定语言决策矩阵的多属性决策问题.在给出不确定语言变量转换为二元联系数的公式以及二元联系数距离公式的基础上,将方案主观偏好语言评价值转换为二元联系数,将不确定语言决策矩阵转换为二元联系数决策矩阵,从而得到方案的二元联系数综合属性值,通过最小化方案的二元联系数综合属性值和主观偏好值之间距离,建立多目标优化模型,并将其转换为一个单目标规划模型计算出属性权重.然后,通过对方案的二元联系数综合属性值进行不确定性分析,得到各方案的排序总数,利用排序总数对方案进行排序择优.应用实例表明该决策方法可行有效.
[Abstract]:The problem of multi-attribute decision making with known attribute weight range, subjective preference value of scheme as language variable and decision information as uncertain language decision matrix is studied. On the basis of the formula of transforming uncertain language variables into binary relation numbers and the distance formula of binary connection numbers, the subjective preference language evaluation value of scheme is converted to binary relation number. The uncertain language decision matrix is transformed into the binary relation number decision matrix, and the binary association number of the scheme is obtained by minimizing the distance between the binary relation number of the scheme and the subjective preference value. The multi-objective optimization model is established and transformed into a single objective programming model to calculate attribute weights. Then, through the uncertainty analysis of the binary connection number of the scheme, the total number of the schemes is obtained, and the total number of the schemes is selected by using the total number of the sorting methods. An application example shows that the method is feasible and effective.
【作者单位】：郑州航空工业管理学院数理系;
【基金】：河南省教育厅科学技术研究重点项目(12B110027) 郑州航空工业管理学院青年科研基金(2011113003)
【分类号】：C934

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