Based on the option prioritization in graph model for conflict resolution of two decision makers(DMs),new logical and matrix representations of four stability concepts for DMs′attitude are proposed.The logical representation of attitude is defined,and converted to the matrix form in order to develop a decision support system(DSS)efficiently.Compared with existing definitions of DMs′attitude based on states,the proposed definitions of attitude based on options are convenient and more effective to generate preferences since that of states can be significantly larger than that of options in a large conflict.In addition,it is easier to obtain the information of the prioritization of option statements than to obtain preference of states for users.The proposed representations are applied to the process conflict during aircraft manufacturing to demonstrate the efficiency of the new approach. Based on the option prioritization in graph model for conflict resolution of two decision makers (DMs), new logical and matrix representations of four stability concepts for DMs’ attitude are proposed. The logical representation of attitude is defined, and converted to the matrix form in the order definitions of attitude based on options are quite and more effective to generate preferences since that of states can be significantly larger than that of options in a large conflict.In addition, it is easier to obtain the information of the prioritization of option statements than to obtain preference of states for users. The proposed representations are applied to the process conflict during aircraft manufacturing to demonstrate the efficiency of the new approach.