Conflict Resolution Under Power Asymmetry Based on Incomplete Linguistic Preference Relations
本研究将不完全语言偏好关系引入权力不对称的冲突解决中，为领导者和追随者定义了多种稳定性概念，并通过环境治理案例验证了方法的有效性。
In the traditional graph model for conflict resolution (GMCR), decision-makers (DMs) are often assumed to have equal influence and operate independently, using actual or fuzzy numbers to quantify their preferences. However, in some conflicts, a leader with more significant power may emerge to guide the situation. In addition, DMs usually express their preferences linguistically to capture subjective nuances and uncertainties, but their preferences can be incomplete due to limitations in knowledge, time, or uncontrollable variables. To address these issues, our study extends incomplete linguistic preference relations (ILPRs) to conflict resolution within a power asymmetry framework. Initially, we define distinct graph models tailored for the leader and follower. Subsequently, considering DMs’ attitudes toward the risks inherent in ILPRs, we develop four types of logical representations of three incomplete linguistic power asymmetry stability concepts (ILPASCs) for the leader and five for the follower, resulting in 32 stability concepts under power asymmetry. We also propose matrix representations for these stability concepts to aid calculations and explore their interrelationships. Finally, we present an empirical case study on power asymmetry in environmental governance to validate the effectiveness and superiority of our developed method.