Robust minimum cost consensus models with various individual preference scenarios under unit adjustment cost uncertainty

In group decision making (GDM), individual opinions and unit adjustment costs are essential factors in reaching a collective consensus. However, in previous studies, most scholars only considered the uncertainty of individual opinions while ignored the uncertainty of unit adjustment costs or had an inaccurate description of unit adjustment cost uncertainty, which increases the risk for decision makers (DMs). This study constructs four types of uncertainty sets to describe the uncertainty of unit adjustment costs more accurately to solve this problem. Moreover, based on multi-role individual preference scenarios, we adopt a robust optimisation (RO) method to reduce the risk of the model, and we propose robust minimum cost consensus models with various individual preference scenarios under the uncertainty of unit adjustment costs. Furthermore, the proposed robust models were applied to numerical experiments on marine ranching in Weihai, China. The results showed that the proposed robust models were more potent than the original model. Finally, a sensitivity analysis is presented and the characteristics of the proposed models are revealed.