具有序区间偏好信息的双边稳定匹配决策方法

针对具有序区间偏好信息的双边匹配决策问题,提出了一种新的决策方法.首先,给出了具有序区间偏好信息的双边匹配决策问题的描述,并给出了序区间偏好信息下的可接受对和个体理性匹配的定义;然后,给出了基于可能度的弱稳定匹配、α-稳定匹配、强稳定匹配和超稳定匹配的定义,并分析了各种稳定匹配之间的关系;在此基础上,分别构建了获得弱稳定匹配、α-稳定匹配、强稳定匹配和超稳定匹配的多目标优化模型,并给出了获得相应最优匹配方案的求解方法.最后,通过一个算例说明了该方法的有效性和可行性.

Two-sided stable matching decision-making method with ordinal interval preference

A new decision-making method is proposed to solve the two-sided matching problem with ordinal interval preference. Firstly, the two-sided matching problem with ordinal intervel preference is described, and the definitions of acceptable pair and individual rational matching based on ordinal interval preference are given. Then, the definitions of weak stable matching, stable matching, strong stable matching and super stable matching based on possibility degree are introduced, and the relationship among these stable matchings are analysed. Furthermore, the multi-objective optimization models for weak stable matching, stable matching, strong stable matching and super stable matching are constructed, respectively. In addition, the solution methods to obtain the corresponding optimal matching alternatives are also provided. Finally, an example is given to illustrate the efficiency and feasibility of the proposed method.