Deriving intuitionistic fuzzy number priority weights from intuitionistic judgment matrix

The problem of the weights of intuitionistic judgment matrix (IGM) was discussed, and the consistency of IGM, which is related to the reliability of the weights, was explored. From the perspectives of the score function and accuracy function of intuitionistic fuzzy value, a new definition of additive consistency of IGM was given, and an equivalent condition for additive consistency was achieved. To make full use of the information of the original IGM and make the decision meet the consistency, the original IGM was converted into two additive consistency fuzzy judgment matrices, which was achieved by the transformation function arising from the equivalent condition. The membership degree and the non-membership degree of the original IGMs weights were respectively achieved by normalizing rank aggregation to the two additive consistency fuzzy judgment matrices. Thus the intuitionistic fuzzy number priority weights of the IGM were obtained, and ranked with a sequencing rule for intuitionistic fuzzy values. The excellent properties of the proposed method were discussed, and its validity and practicability were illustrated in an example.