二维变量约束条件下的多属性群决策方法及应用

Multi-attribute Group Decision-making Method and Its Application with Constraints of Two-dimensional Variables

研究经典多属性群决策问题。利用平均权重对各属性权重取值范围进行整合,运用加权的专家组评分构建属性值取值区间,由此确定属性权重和属性值的约束条件,建立以综合属性值为目标的二维变量线性规划模型,求解各方案的极大综合属性值,据此实现对全部方案的排序,并以具体案例验证方法的有效性。

The research is done on the classical multi-attribute group decision making.The average weight is used to integrate the value range of each attribute weight,and the weighted expert group scores are used to construct attribute value range,so as to determine the constraints of attribute weight and attribute value.A two-dimensional variable linear programming model is established with comprehensive attribute values as the target to determine the maximum comprehensive attribute values of each scheme,based on which all schemes are ranked.A specific case is used to verify the effectiveness of this method.