Graph Model under Unknown and Fuzzy Preferences

A new hybrid preference framework of the Graph Model for Conflict Resolution (GMCR) is proposed which allows decision makers (DMs) having both unknown preference and fuzzy preference to be taken into account in conflict modeling and analysis. The novel hybrid preference structure provides DMs with a more flexible technique to express preference, and it is capable of covering the unknown preference of one feasible state over another, as well as fuzzy preference. Moreover, within the new hybrid preference structure, four extension forms of unknown preference are defined for different fuzzy stability definitions. These stability definitions under the new hybrid preference can be employed to thoroughly investigate complex conflicts existing in practical applications, and can offer enhanced strategic insights regarding the conflicts. A specific real-world water diversion conflict occurring in China, which includes multiple DMs and hybrid preference, is utilized to investigate how the new hybrid preference framework of GMCR can be conveniently applied in practice.