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针对指标权重未知的区间概率风险型混合多属性决策问题,提出一种基于熵权和投影理论的决策方法.首先,建立了语言变量和不确定语言变量与梯形模糊数的转化关系,将混合型数据转化成统一的梯形模糊数;然后,通过期望值将风险型决策矩阵转化为确定型决策矩阵,并用熵权法确定各指标权重,计算加权决策矩阵,根据各方案在正负理想方案上投影的相对接近度对方案进行排序;最后,通过应用案例说明了该方法的有效性.
A decision making method based on entropy weight and projection theory is proposed for the interval-risk mixed MADM with unknown index weights.Firstly, the transformation relations between linguistic variables and uncertain linguistic variables and trapezoidal fuzzy numbers are established, and the hybrid Then, the risk-based decision matrix is converted into a deterministic decision matrix by the expectation value, and the weight of each index is determined by the entropy weight method, and the weighted decision matrix is calculated. Based on the projections of the schemes on the positive and negative ideal solutions The relative proximity of the program to sort; Finally, the application case shows the effectiveness of the method.