The Large-Small Group-Based Consensus Decision Method and Its Application to Teaching Management Problems

Many decision problems in reality are made by consensus decision of the large group and the small group. This paper aims to apply the consensus model and method to group decision-making problems between a large and small group. For this purpose, the authors solve the group decision-making problems by considering a group decision as the common decision of the large and small groups and then construct the consensus model combined with the TOPSIS theory. First, the reasonable comprehensive evaluation for schemes that reach a consensus between the large and small group can be determined through the comprehensive consideration of the evaluation of the scheme by the large group and the small group. Then, the consensus measurement to the sequences of the large group and the small group is built with the aim to minimize the deviation of the sequence of the total group consisting of the large and small group. Furthermore, the corresponding adjustment rules are given based on recognizing the strategic behavior of the large group and the small group in different situations. Finally, an example of teaching management problem is given to demonstrate the efficiency and feasibility of the proposed method.