Integrating intuitionistic preferences into the graph model for conflict resolution with applications to an ecological compensation conflict in Taihu Lake basin

Ecological compensation is an important means to solve the problem of river basin water pollution, which has been widely used at home and abroad. However, the study of ecological compensation problems from the perspective of the management by using the graph model for conflict resolution (GMCR) is still a challenge. Thus, the aim of this article is to construct the graph model with intu-itionistic preferences to model and analyze real life ecological compensation conflicts. Specifically, due to the lack of information and the inherent fuzziness of human cognition in ecological compensation conflicts, the intuitionistic preference structure is incorporated into the framework of the GMCR to represent the decision makers' (DMs') uncertain preference. Based on this, two sets of intuitionistic stability definitions are defined to analyze and solve the possible resolution for conflict problems with two DMs and multiple DMs, respectively. Note that a state is called intuitionistic stability for DM in a graph model based on the given intuitionistic stability definitions if and only if there is no reward for a given state to leave the initial state, that is to say, the evaluated value of the focus DM is less than an intuitionistic satisficing threshold of the same DM. Furthermore, the intuitionistic equilibrium is considered as the possible solution to the conflict problems and is intuitionistic stable for all DMs in the graph model. Finally, the ecological compensation conflicts of the Taihu Lake basin are used to demonstrate the usefulness and correctness of the graph model with intuitionistic preferences.(c) 2023 Elsevier B.V. All rights reserved.