Affiliations:
University of Shanghai for Science and Technology, Shanghai, China
Correspondence:
[*]
Corresponding author. Shaojian Qu, Business School, University of Shanghai for Science and Technology, Shanghai 200093, China. E-mail: [email protected].
Abstract: In the process of group decision making, perturbation of input data always reduces the quality of the optimal solution or even makes it unfeasible. Hence, the value of the optimal solution is often limited. In this paper, a robust optimization method is proposed to overcome the inherent uncertainty of input data in group decision making (such as experts’ unit adjustment cost). Firstly, the minimum cost consensus model based on norm definition is established. Then, four different forms of uncertainty sets are proposed, and the corresponding robust models of four minimum consensus cost models are established. Finally, in order to evaluate the robustness of the solutions obtained by the robust consensus model, the results with different parameters are compared. The robust consensus model is also compared with the minimum cost consensus model. A numerical example proves that the result of the minimum cost consensus model is too optimistic, and the robust consensus model is more robust.
Keywords: Group decision making, consensus, uncertain set, robust optimization, marketing plan
