Two-sided matching considering the preferences of agents and intermediary
Qi Yue1, Yuhua Li1, 2
1School of Information Management, Jiangxi University of Finance and Economics, Nanchang, Jiangxi 330013, China
2School of International Trade and Economics, Zhongshan Jiahede Investment Company, Zhongshan, Guangdong 528400, China
This paper proposes a novel method for solving the two-sided matching problem, in which the preferences provided by agents are ordinal numbers, and the preferences provided by intermediary is the expense standard on ordinal numbers. In this paper, the description of the considered two-sided matching problem is given. Then the concepts of satisfaction degrees and expense are introduced. Furthermore, a multi-objective optimization model can be set up consider satisfaction degrees of agents and expense of intermediary. The method of weighted sums based on membership function is used to convert the multi-objective optimization model into a single-objective model. The matching result is obtained by solving the model.