论文部分内容阅读
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.
The problem of multi-attribute decision-making with attribute range of weights, subjective preferences of language as linguistic variables and decision-making information as uncertain linguistic decision matrices is studied.The formulas for converting uncertain linguistic variables into binary conjunctions and binary conjunctions Based on the distance formula, the subjective preferred language evaluation value of the program is converted into a binary connection number, and the language decision matrix of uncertain language is converted into a binary connection number decision matrix to obtain the comprehensive attribute value of the binary connection coefficient of the solution, Then the multi-objective optimization model is established and converted into a single-objective programming model to calculate the attribute weight.Based on the binary attributes of the scheme, The value of the uncertainty analysis, the total number of each program is sorted, the use of the total number of programs to select the optimal program.Application examples show that the decision-making method is feasible and effective.