Data-driven makes it more convenient and effective for decision-makers to obtain information. Under the theoretical framework of graph model for conflict resolution， this paper firstly mines conflict strategies based on data-driven， and realizes the rational construction of conflict strategies. Secondly， considering that decision-makers’ choice of a certain strategy is more likely to be a possibility of being selected in real conflicts， this paper effectively integrates the hesitant fuzzy linguistic information with the theory of graph model for conflict resolution， and uses the hesitant fuzzy linguistic information for evaluation. Based on the rough set theory， the information of hesitant fuzzy semantic evaluation is aggregated to represent this possibility. Furthermore， a new option prioritizing method for graph model of conflict resolution based on hesitant fuzzy linguistic information is proposed. Finally， the cross-border water pollution of the Shu River are modeled and analyzed to compare the novel and classic methods， so as to verify the rationality of the method proposed in this paper.