The problem of the satisfying consistency of interval comparison matrix and the ranking of alternatives are
studied. Firstly, a new definition of the satisfying consistency of the interval comparison matrix is proposed. Then, whether an interval comparison matrix has satisfying consistency is judged according to whether its 0-1 central value permutation matrix is a standard 0-1 permutation matrix. If the interval comparison matrix has satisfying consistency, the ranking of alternatives are obtained directly from the 0-1 central value permutation matrix, and thereby the satisfying consistency of an interval comparison matrix with non-strict pairwise comparison information is judged. Finally, two examples are given to demonstrate the rationality and the feasibility of the proposed method.