We proposed a minor-minimum method for BOIAP, where the coefficient of the objective functions has been considered as interval. This method gives the set of efficient/non-efficient solutions and best compromise solution for BOIAP. Using MATLAB software, a BOIAP is solved. For illustration, numerical example is given. This approach provides decision-makers with the necessary support when working with two objectives and different types of interval allocation problems. © 2020, Research Trend. All rights reserved.