Study on group decision making based on the triangular fuzzy number preference relations under incomplete information

The priority problem of incomplete complementary judgment matrix is investigated.Trans- formation relation between the triangular fuzzy number reciprocal judgment matrix and the triangular fuzzy number complementary judgment matrix is analyzed.The concept of additive consistency for the triangular fuzzy number complementary judgment matrix is introduced.A least-square approach to group decision making based on the incomplete triangular fuzzy number complementary judgment matrices is proposed,of which the existence condition of the solution is studied.The priority method of the collective judgment matrices with incomplete information is extended to the case of the collec- tive judgment matrices and the individual judgment matrix with complete information.Finally,it is illustrated by a numerical example that this method is feasible and effective.