Based on the different attitudes of decision makers toward risk and the fact that decisions can be influenced by complex psychological mechanisms such as limited human rationality, this paper proposes two interval number ranking methods for the interval number ranking problem arising from the selection of decision options. First, a two-parameter app-roach is introduced to represent the risk preferences of the decision maker and to measure the concessions made by the decision maker for the goal, thus giving a full order to compare the number of intervals, and the parameters are selected by great entropy to make the ranking method scientific and reasonable. Then the prospect theory is introduced to reflect the influence of irrational psychology on decision making under uncertainty and a second method of ranking interval numbers is given. Finally, the existing interval number ranking methods are compared and analyzed with the method proposed in this paper through the existing cases, and it is verified that the first two-parameter method can contain the results obtained by the two existing methods listed in this paper after changing different parameters, so that the two-parameter method is more widely used; the second prospect theory method takes into account the psychological behavior of people when they face gains and losses, and the decision results are more in line with the reality.