A two-decision maker multi-objective graph model with intuitionistic fuzzy preference

Abstract

In many conflict situations, decision-makers (DMs) integrate multiple objectives rather than considering just one objective or dimension. A multi-objective graph model (MOGM) for two DMs is proposed to balance DMs’ objectives in this paper. An intuitionistic fuzzy (IF) preference (IFP) framework is developed. By combining strength of preference and IF preference, integrating multiple objectives, an IFMOGM is developed for strategic conflicts. Four IF stability definitions: IF Nash stability, IF general metarationality (IFGMR), IF symmetric metarationality (IFSMR), and IF sequential stability (IFSEQ), are introduced and the dependence of these stability solutions on weights is shown. Finally, the IFMOGM is applied to greenhouse gas emission disputes between the US and China to demonstrate that the model and methodology.