Optimal model of weighting experts in group decision-making based on compatibility criterion

According to the reciprocal judgment matrices provided by experts, the optimal model of weighting experts is proposed in the group decision-making. Under the conditions of judgment matrices satisfying consistency, the compatibility of judgment matrices is discussed between the weighting geometric averaging combination judgment matrix and the characteristic matrix formed by weighting geometric averaging combination vectors. Based on the concept of compatibility, the optimal model of weighting experts is constructed under the criterion of minimizing the compatibility of judgment matrices. The solving method for the model is also discussed. Finally, an example is illustrated and the results show that the model is reasonable and feasible.