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Pareto Front

a.k.a Pareto frontier or Pareto set. In multi-objective optimization, when the different objectives are contradictory, an optimal solution is said Pareto optimal when it is not possible to improve an objective without degrading the others. A Pareto optimal solution can then be seen as an optimal trade-off between the objectives. The set of all Pareto optimal solutions is called the Pareto front as it usually graphically forms a distinct front of points. Solutions which do not lay on the Pareto front are called Pareto dominated solutions. The figure shows a typical convex Pareto front obtained when minimizing two objectives concurrently.