Attitude-Based Intuitionistic Fuzzy Graph Model for Conflict Resolution With Soft Consensus: Application to Dam Construction Projects

Construction of dam projects built on international rivers usually faces many conflicts due to different interests, values, and preferences of social entities. The graph model for conflict resolution (GMCR) is a powerful and flexible tool to model and analyze strategic conflicts. In this study, we introduce a GMCR model to address construction conflicts among different social entities. To process uncertain and vague information in preferences, this study allows decision-makers to use intuitionistic fuzzy information to express their preference information. First, we define necessary definitions, including the intuitionistic relative certainty of preference (IRCP), intuitionistic satisficing threshold (IST), and intuitionistic unilateral improvement (IUI). When using a graph model to represent real-world disputes, a decision-maker (DM) may have different attitudes toward other DMs. To analyze the influence of attitudes, we originally introduced the concept of soft consensus in GMCR. Then, three kinds of attitudes, i.e., positive attitude, neutral attitude, and negative attitude, are identified. Next, we propose four intuitionistic stability definitions considering the attitudes of DMs. Finally, an illustrative example regarding the Xayaburi Dam dispute that occurred in Indochina Peninsula is provided to demonstrate the applicability of the proposed model.