The decision problem of the satisfying consistency is studied, as well as the approach for regulating consistency where the strict preference relation is given as the form of trapezoidal fuzzy number reciprocal judgment matrix. Firstly, the trapezoidal fuzzy number reciprocal judgment matrix is transformed to the judgment matrix and the permutation matrix. Then, it is judged whether a trapezoidal fuzzy number reciprocal judgment matrix has satisfying consistency according to its permutation matrix. Based on the similar centroid of trapezoidal fuzzy number, the method of transforming a permutation matrix to an upper triangular matrix is given and the priority of alternatives is derived. Finally, a project evaluation problem is given to illustrate the feasibility of the proposed method.