Preference ranking is a vital issue in the process of graph model for conflict resolution (GMCR). Concerning the ranking problem of uncertainty preference, we propose a grey multi-criteria preference ranking approach based on grey interval numbers to represent the uncertainty preference of decision-makers, and calculate the comprehensive grey incidence degrees between DMs. And then, based on maximum entropy, we construct a multi-objective optimization model to minimize uncertainty. Finally, we exploit a real-world conflict incident of "Taihu Lake water pollution" to illustrate the feasibility and effectiveness of the proposed model