In this paper, focusing on multiobjective two-level integer programming problems where two decision makers with integer decision variables have multiple objective functions, we present interactive fuzzy programming for them using partial information about preference. In the proposed method, after introducing the fuzzy goals of objective functions for the decision makers, a solution, which minimizes the difference between the membership function values and the reference membership levels for the decision maker at the lower level under the condition that the membership function values are greater than or equal to the minimal satisfactory levels for the decision maker at the upper level, is obtained by genetic algorithms. After evaluating the aggregated satisfactory degree for each of the decision makers through the partial information about preference, if the ratio of the aggregated satisfactory degree for the decision maker at the lower level to that for the decision maker at the upper level satisfies a certain condition and the decision maker at the upper level is content with the solution, a satisfactory solution is obtained. Otherwise, the interactive procedures with updating the minimal satisfactory levels and the reference membership levels is going to be continued until a satisfactory solution is found.
