Mathematical Problems in Engineering / 2014 / Article / Fig 2

Research Article

Multipurpose Water Reservoir Management: An Evolutionary Multiobjective Optimization Approach

Figure 2

Representation of the Pareto-set, in the space of decision variables, as a set starting in the point and ending in the point . The image of such a set is represented in the objective space as the curve starting in the point and ending in the point . The feasible set, in the decision variable space, is represented by the closed set , and its image in the objective space is represented by the closed set . The image of the Pareto-set is part of the boundary of the set , which motivates it being called the Pareto-front of the problem. It should be clear that any point inside , except the points belonging to the Pareto-front, will have some other points belonging to that dominates it.
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