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针对不完全不确定序数信息下的双边匹配问题,提出了一种新方法。首先,描述了不完全不确定序数信息下的双边匹配问题;接着,将不完全不确定序数矩阵转化为不完全满意度矩阵;其次,以每方主体满意度总和最大为目标,考虑到一对一匹配约束条件,构建了匹配模型;运用线性加权法将双目标匹配模型进行转化,进而通过求解转化后的单目标优化模型获得匹配方案。实例分析说明了所提方法的可行性和有效性。
Aiming at the problem of bilateral matching under incompletely uncertain ordinal information, a new method is proposed. Firstly, the bilateral matching problem under incomplete uncertain ordinal information is described. Then, the incompletely uncertain ordinal matrices are transformed into the incomplete satisfaction matrices. Secondly, aiming at the maximization of the satisfaction of each main body, A matching constraint is constructed and the matching model is constructed. The dual-objective matching model is transformed by using the linear weighting method, and then the matching solution is obtained by solving the transformed single-objective optimization model. The example analysis shows the feasibility and effectiveness of the proposed method.