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Answers for “两个目标的加权和标量化的数学定义是什么?”

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The weighted-sum scalarization combines two objective functions into a single aggregate objective JJ by multiplying the first objective by a weight w1w_1 and the second objective by the complementary weight 1−w11-w_1.

Conditions: There are exactly two objectives being combined.; The second weight is defined as 1−w11-w_1.; The objective is to minimize or maximize the combined scalar JJ.

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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.