Three-Way Group Decision

On consideration of the effectiveness of group decision making in practical complex decision-making problems, we introduce group decision making into three-way decision with decision-theoretic rough sets and discuss collective wisdom based three-way decision. Group decision making based three-way decision extends the range of applications of three-way decision with decision-theoretic rough sets and provides a novel interpretation of the determination of loss functions. Based on decision-theoretic rough sets, we firstly focus on analyzing the determination for the loss functions under the group decision-making environment. With the aid of the principle of justifiable granularity, we adopt the important and majority suggestions of experts to measure each loss function, which supports a coherent way of designing information granules in presence of numerics.