A Consensus Accuracy Model for group decision making with [0,1] reciprocal preference relations

The existing group consensus models for solving the group decision making (GDM) problems with [0,1] reciprocal preference relations are always on the basis of absolute deviation measures. In this paper, we define the individual consistency accuracy index and the group consensus accuracy index based on the relative deviation measure, which can measure the relative precision of difference among the group members. Then, two algorithms are developed to design the decision support model, and a Group Consensus Accuracy Model (GCA Model) is presented to determine the importance weight of each preference relation by maximizing group consensus accuracy index. The main characteristics of our model are that: (1) it guarantees that the original preference information is most likely reserved in each round; (2) the weights of decision makers are obtained objectively by using the GCA Model with relative deviation. Finally, performance of the proposed method is illustrated by an example.