A Case Study of Grey-Based Preference in a Graph Model for Conflict Resolution with Two Decision Makers

A generic sustainable development conflict having uncertain preferences is investigated using a new methodology. In particular, definitions of grey numbers are introduced for incorporation into the Graph Model for Conflict Resolution (GMCR) in order to capture uncertainty in preferences. The GMCR constitutes a simple and flexible methodology model and analyze strategic conflicts. The goal of the study is to analyze the influence of uncertainty on the outcome of the conflict and to provide suggestion on guiding the conflict to move in a desired direction. General grey numbers are used to represent the uncertain preferences of decision makers. Following the explanation of four solution concepts based on grey preferences, a stability analysis is conducted and some new insights are provided in this research.