Decision Making Support

---

The multi-objective optimization yields not one solution, but a Pareto optimal solution set. The solution fitting all product specifications for the given problem has to choose from the solution set. Different experts from different fields come together to consider all points of the solution set and to make this decision. For small problems however, the engineer has to stand alone to make the decision. It is very difficult to make the decision, one solution from a solution set, because the solutions conflict each other and there is no exactly comparing between its. It is impossible to say, solution A is better than solution B etc. A decision making support tool is needed here.

First of all, all criteria are normalized in range [0, 1]:

Therefore, all solution points are located between 0 and 1 and are comparable with each other. The decision come from the ideal point, which is given by user as Weight of Criterion in range [0..1].  The Solution comes from the point, which has the most small absolute differences to the ideal point:

The parallel chart can visualize the decision process. All normalized criteria lie in range [0, 1]. The ideal point is the red line. The solution is the line, which has the smallest relative area to the red line: