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Generalized Fuzzy DEA/AR Model Based on Monte Carlo Simulation and Its Application

摘要


The traditional DEA regards the DMU group as a black box and only focuses on the relative efficiency of the DMU group. Stackelberg (leader-follower) game theory is used to give priority to and successively decompose the efficiency of the DMU into the efficiency value of its own DMU. In this paper, a new two-stage Stackelberg fuzzy DEA model is proposed to calculate the efficiency values of DMUs and sub-DMUs. The model has three characteristics: first, it is linear, which makes it possible to quickly obtain the global optimal solution; secondly, the model is independent of the α cut set variables, which greatly reduces the calculation amount of the model and improves the accuracy of efficiency calculation; thirdly, the paper uses model Carlo simulation to rank the decision-making units. Finally, the efficiency of public cultural services in 13 cities of Beijing-Tianjin-Hebei urban agglomeration is calculated to verify the effectiveness of the model.

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