Multi-criteria decision making is important in various fields like engineering and finance. This study focuses on helping decision makers when there are only a few optimal solutions available. The researchers developed a method that considers both feasible and infeasible solutions to better understand the optimal solution possibilities. By using reference directions, they can identify potential gaps in the optimal solutions. This method helps to more accurately approximate both continuous and discontinuous optimal fronts. The researchers tested their approach on different types of problems and found it to be effective in improving decision making.