基于理想点的多属性决策主客观赋权法

An Objective and Subjective Synthetic Approach to Determine Weights Based On Ideal-Solution for Multi-attribute Decision Making

针对多属性决策中属性权重确定的问题,提出了基于理想点的主客观赋权法,该方法是指实际方案中的点与反理想点之间的偏离程度越大则该点即为方案集中越好的点,然后通过建立数学规划模型自动求解属性的权重,最后的实例表明,该方法确定的权重不仅反映了文献[6]方法中确定的权重客观程度,同时也反映了属性权重的主观程度。

This paper makes a study of determining weights vector for multi-attribute decisionmaking, and an objective and subjective synthetic approach to determine weights based on ideal-solution is proposed. This approach points out that the best solution is the real solution that the distance between real solution and the adverse ideal-solution is largest. And then this approach can automatically solve weights vector of attributes through a kind of mathematics programming model, Finally, an example is given to show that the approach makes the weights reflect not only the objective degree which is shown in paper [ 6 ] but also the subjective degree.