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Answers for “OBJ_1-OBJ_2 图中的紫色曲线代表什么?”

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The purple curve represents the trade-off curve in the objective space. It is formed by mapping the optimal solutions obtained as the weight w1w_1 changes, showing how improving one objective comes at the expense of the other.

Conditions: At least two objectives are plotted against each other.; Solutions are generated for multiple weight values.

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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.

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The weight table serves as the computational scaffold for exploring the family of weighted problems. It lists candidate values for the weight w1w_1, allowing the user to compute the aggregate objective JJ and record the resulting objective values OBJ1OBJ_1 and OBJ2OBJ_2 for each weight choice.

Conditions: Use a set of candidate weights w1w_1.; Compute JJ for each weight.; Record the resulting solution’s OBJ1OBJ_1 and OBJ2OBJ_2 values.