On the basis of the research demands in multiple attribute decision theory, this paper proposes a method to rank
interval numbers by employing probability reliability, and gives a formulation depiction of the ranking problem. Then the
order relation of interval numbers is defined to establish the ranking rule. The feature information is denoted as probability
consistency function, and the probability reliability model of order relation is constructed. In order to compare various
interval numbers, complementary judgment matrix is introduced and the ranking problem is converted into matrix operation.
Experiment results show the effectiveness and feasibility of the proposed method in contrast to the traditional approaches.