考虑偏好序的多满意稳定导向双边匹配决策方法

针对考虑偏好序的多满意稳定导向双边匹配决策问题,提出了一种新的决策分析方法.首先,给出了双边匹配方案、稳定双边匹配方案、弱稳定双边匹配方案和α-稳定双边匹配方案的相关定义.然后,考虑双边匹配主体给出的强偏好序、弱偏好序、无差异偏好序和未知偏好序信息,分别计算了双边匹配主体的满意度.进一步地,分别构建满意、弱满意稳定、α-满意稳定和满意稳定等四种决策导向的优化模型.通过运用求解模型的变步长算法,可以获得相应的最优匹配方案.最后,给出一个算例,证明所提方法的有效性和可行性.

Decision-making method on multiple targets of satisfied and stable two-sided matching considering the preference ordering

With respect to the multiple target of satisfied and stable two-sided matching decision-making problem considering the preference ordering, a novel decision-making analysis method is proposed. Firstly, the definitions of two-sided matching, stable matching, weak stable matching and α-stable matching alternatives are given. Then, the methods for calculating satisfaction degrees of two-sided matching party are given by considering the strong preference ordering, weak preference ordering, indifference preference ordering and unknown preference ordering information provided by two-sided matching party. Further, the optimization models for the targets of satisfied, weak satisfied and stable, α-satisfied and stable, satisfied and stable are built, respectively. By using a changeable step algorithm, the corresponding optimal matching alternative is obtained. Finally, an example is given to illustrate the efficiency and feasibility of proposed method.