Interval number is a common tool to describe uncertain information. Its ranking method plays a role in solving uncertain decision-making problems. In Ref. , by analyzing the feature and shortcomings of the current ranking methods, we proposed a ranking method based on quantity property, and systematically discussed the structure criteria, based on it, in this paper, we firstly introduce the definition of quasi-linear function and establish an order model of interval numbers based on it; secondly, with a specific example, we further analysis the property the order structure built in Ref. . The result shows that this method can merge decision making consciousness into the decision making process effectively. In complex optimization system, decision making and other fields have a wide range of applications.