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Two-sided Matching under the Conditions of Strict Order Relations and Threshold Orders
Qi Yue,Yongshan Peng,Bingwen Yu 보안공학연구지원센터 2015 International Journal of Database Theory and Appli Vol.8 No.3
A matching approach is proposed for solving the two-sided matching problem, where the preferences given by the two-sided agents are in the format of strict order relations and threshold orders. The two-sided matching problem under the conditions of strict order relations and threshold orders is firstly described. The related concepts of the two-sided matching are also introduced. In order to solve the considered two-sided matching problem, the strict order relations are converted into the Borda number matrix, and the threshold orders are transformed into the threshold Borda numbers. According to the Borda number matrix and the threshold Borda numbers of each side, the two Borda number cut matrix can be established, and then the two normalized Borda number cut matrixes can be set up. According to the two normalized Borda number cut matrixes, the synthetical normalized Borda number cut matrix can be established. Based on the synthetical normalized Borda number cut matrix, a matching model considering the two-sided matching constraint conditions can be developed. The matching alternative can be obtained by solving the matching model. Finally, a matching example between positions and staffs is given to illustrate the use of the proposed approach.
Two-sided Matching Decision under Multi-granularity Uncertain Linguistic Environment
Qi Yue,Yongshan Peng,Bingwen Yu,Yu Hong,Quan Xiao 보안공학연구지원센터 2015 International Journal of u- and e- Service, Scienc Vol.8 No.11
With respect to the two-sided matching problem, where the agents’ preferences are in the format of multi-granularity uncertain linguistic terms, a matching method is proposed. Some basic concepts and definitions on uncertain linguistic term and 2-tuple are firstly given. Based on this, the two-sided matching problem with multi-granularity uncertain linguistic terms is described. Then, multi-granularity uncertain linguistic term matrixes are transformed into multi-granularity 2-tuple matrixes. Furthermore, a multi-objective optimization model is developed by using the extended 2-tuple weighted average. By using the normalization method and the linear weighted method twice, the multi-objective optimization model can be converted into a single-objective optimization model. By solving the model, the matching alternative can be obtained. Example of matching demand and supply in agricultural knowledge illustrates the feasibility and effectiveness of this method.