Approach to group decision making based on the incomplete interval fuzzy number complementary judgment matrices

The priority problem of the interval fuzzy number complementary judgment matrices with incomplete information is investigated. Transformation relation between the interval fuzzy number reciprocal judgment matrix and the interval fuzzy number complementary judgment matrix is set up. The concept of additive consistency for the fuzzy number complementary judgment matrix is introduced. A least-square approach to group decision making based on the incomplete interval fuzzy number complementary judgment matrices is proposed, of which the existence condition of the solution is studied. Finally, it is illustrated by a numerical example that this method is feasible and effective.