Graph Model for Conflict Resolution Considering Heterogeneous Behavior Based on Hesitant Fuzzy Preference and Social Network Analysis

Graph model for conflict resolution (GMCR) is an effective tool to solve conflicts, which determines the feasible states by modeling the conflict, and then analyzes the behavior of decision-makers (DMs) through stability analysis to find a solution to the conflict. This article studies the composite DMs (CDMs) and the heterogeneous behaviors of opponents in GMCR. Based on the social relationship between DMs, the social network is applied to analyze the individuals in CDMs and to identify the types of heterogeneous behaviors of DMs. Combining social network and aggregating operator, this article unifies the preferences of individuals in a CDM. Subsequently, an identification mechanism is designed to determine the kind of opponents’ heterogeneous behaviors. Then, the mixed stabilities are extended to hesitant fuzzy mixed general meta-rationality (HFMGMR) and hesitant fuzzy mixed symmetric meta-rationality (HFMSMR). The matrix representations of two stabilities are developed to analyze the equilibrium of conflicts. Finally, a conflict in pollution rectification of industry enterprises is analyzed to demonstrate how social networks can be applied to GMCR with CDM and heterogeneous opponents. Hesitant fuzzy mixed stability analysis reveals the influence of heterogeneous behaviors in GMCR. Different types of DM behavior lead to different equilibrium results, which is concluded in this article.