Term "nadir points" is new and exists only in these passages:
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In turn, the nadir objective vector is the upper bound of the Pareto front, representing the worst of all objective functions but with values delimited to the Pareto optimal solutions. Typically, it is a dominated point. In any case, the role of these points is to offer the decision-maker the feeling of the range of optimal solutions that can be obtained for a given problem.
Therefore, it is often used as an estimate of the nadir point. Also, for numerical reasons, the ideal point is often not used directly. In turn, it is transformed into a utopian point with marginally better objective values on all objectives.
First, the method is initialized by computing the ideal and nadir points. They are shown to the DM, who learns about the achievable objective values. Second, the optimizer generates an initial Pareto optimal solution.
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