• •

### 具有单边互惠偏好信息的稳定双边匹配决策方法

1. 1. 淮阴工学院管理工程学院,   淮安  223003;  2. 江苏省智能工厂工程研究中心,  淮安 223003
• 出版日期:2018-04-25 发布日期:2021-06-29

KONG Decai, CUI Jie, LIU Changping. Stable Two-Sided Matching Decision Making Method with One-Side Reciprocal Preferences[J]. Journal of Systems Science and Mathematical Sciences, 2021, 41(4): 1108-1120.

### Stable Two-Sided Matching Decision Making Method with One-Side Reciprocal Preferences

KONG Decai1,2 ,CUI Jie1,2, LIU Changping1,2

1. 1. School of Management Engineering, Huaiyin Institute of Technology, Huai’an 223003; 2. Jiangsu Smart Factory Engineering Research Center, Huai’an 223003
• Online:2018-04-25 Published:2021-06-29

A stable matching decision method is proposed to solve the two-sided matching problem that one side agents give the preference order information, and the other agents generates the reciprocal preferences. Firstly, the two-sided matching problem with one-sided reciprocal preferences is described. Then, the concepts, such as one-sided reciprocal stable matching and Pareto effective matching, are defined and the existence of one-sided stable matching scheme is proved by the extended Gale-Shapley algorithm. Furthermore, the stable matching optimization model maximizing two-sided matching agents' satisfaction degree is constructed. The analysis of the characteristics of the model shows that the matching solution corresponding to the optimal solution of the model is a Pareto effective matching schema. Finally, the method proposed in this paper is used to recommend suitable couples for men and women.
()
 No related articles found!