基于不完全得分信息的双边匹配决策方法

Decision Method for Two-sided Matching Based on Incomplete Score Information

针对基于不完全得分信息的双边匹配问题,提出了一种匹配决策方法。首先,将不完全得分信息转化为不完全满意度信息;其次,以每方主体满意度总和最大为目标,构建了双目标匹配模型;考虑到模型中系数已经规范化,运用线性加权法将双目标匹配模型转化为单目标模型,并通过模型求解获得匹配方案。最后,实例分析说明了所提方法的有效性。

This paper proposes a matching decision method with respect to the two-sided matching problem based on incomplete score information. Firstly, information of incomplete scores is converted into information of incomplete satisfaction degrees. To maximize the sum of satisfaction degrees of agents on each side, a hi-objective matching model is set up. Consider coefficients of the model have been normalized; the linear weighted method is used to convert the hi-objective matching model into a single objective model. By solving the model, the matching alternative is obtained. Lastly, an example analysis illustrates the validity of the proposed method.