Multi-objective aerodynamic optimization design with user preference based on MOEA/D

Multi-objective optimization aims at searching for a set of solutions that are the best tradeoffs among all the objectives. Then the decision maker (DM) selects one or several solutions from this set of solutions according to his/her preference. In most cases, DM is interested in only part of the Pareto front. Hence, if the optimization can be focused on the interested region, it is promising to be more efficient, obtain better solutions and the computational resources will be better used. In this paper, multi-objective evolutionary algorithm based on decomposition (MOEA/D) is adopted to solve multi-objective aerodynamic optimization design problem with user preference using reference point and fuzzy preference to provide the preference information. Test functions and multi-objective optimization design of airfoil with preference are used to validate the proposed methods. The optimization results show that our methods can find the part of the Pareto front with respect to the preference. Better solutions are obtained comparing with the optimization without preference in the airfoil optimization case.