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中文摘要：
针对不完全不确定得分信息下的双边匹配问题,提出了一种决策方法.首先,描述了不完全不确定得分信息下的双边匹配问题,将不完全不确定得分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,考虑一对一匹配约束条件,构建了匹配模型;考虑到模型中的系数已经规范化,运用线性加权法将双目标匹配模型转化为单目标优化模型,进而通过求解单目标优化模型获得匹配方案.最后,通过实例证明了所提方法的可行和有效.
英文摘要：
This paper proposes a decision method in respect to the two-sided matching problems with the incomplete and uncertain score information. Firstly, the two-sided matching problems with the incomplete and uncertain score information are described. Then, the incomplete and uncertain score matrixes are converted into the incomplete sat- isfaction degree matrixes. To maximize the sum of satisfaction degrees of the agents on each side, a matching model considering the constraint conditions with one-to-one matching is set up. Considering that the coefficients of the matching model have been normalized, the linear weighted method is used to convert the bi-objective matching model into a single-objective optimization model. By solving the single-objective optimization model, the matching alterna- tive can be obtained. Lastly, an example analysis illustrates the feasibility and validity of the proposed method.
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