Abstract-In this research, the conflict problem in supply chain management is studied. The method of graph model is applied to solve the conflict problem in supply chain management, then based on the matrix form, the decision support system(MRCR) is used to make auxiliary decision, considering the uncertainty to select the strategy of decision makers in supply chain management. And an empirical analysis about the conflict problem is taken in YJ Nanjing Company's supply chain management. On the basis of the characteristics of YJ Company supply chain management, model is established, then, equilibrium point is obtained by MRCR, finally, make a decision to resolve the conflict after analysis.

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