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Answers for “为什么多个目标通常是冲突的?”

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The video distinguishes them by their attainability and position relative to the Pareto front. Unattainable solutions are points in the objective-value plane that cannot be achieved by any feasible decision, lying beyond the attainable frontier.

Conditions: The plot is in objective-value coordinates.; The example concerns attainable solutions of a multi-objective problem.; Both objectives are being minimized in the example.

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The Pareto front is the curve that links all non-dominated solutions in the objective-value plot. Visually, it is the lower-left boundary of the attainable set in this minimization problem, representing the best possible trade-offs between the conflicting objectives.

Conditions: Objectives are plotted in the (OBJ_1, OBJ_2) plane.; The example uses minimization of both objectives.