The fuzzy graph model for conflict resolution considering power asymmetry based on social trust network

Conflicts are widespread in all spheres of society, and power asymmetries between conflicting actors are becoming more pronounced. However, the underlying causes of this asymmetry are often overlooked. To objectively reveal the fundamental reasons for power asymmetry, this paper utilizes Social Trust Networks (STN) to calculate decision-makers' (DMs) weights. To further investigate the complex phenomenon of power asymmetry and accurately describe the inherent fuzziness in DMs' subjective judgments, two multiple decision-makers (multi-DMs) power asymmetry models based on fuzzy preferences are constructed: one with a leader, a subordinate leader, and a follower, and the other with a leader and two followers. In response to the issue of neglecting power intensity differences in previous research, this paper provided an in-depth discussion of the effects of different degrees of power on the adjustment of followers' preferences. On this basis, the stability definitions were extended to fuzzy power asymmetry conditions. Finally, this paper presented a case study on business operation conflicts in commercial banks and drew conclusions based on the analysis.