Abstract
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.
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