A Decomposition-Based Multiobjective Evolutionary Algorithm with Adaptive Weight Adjustment

Algorithm 1

Adaptive weight vector adjustment.

Require: the size of the initial population , the current weight vectors and current population

Ensure: the weight vectors

 Step 1: Find the non-dominated solutions of and denote . Calculate the and .

 Step 2: Deleting weight vectors:

  If , then weight vectors with the minimum are deleted from .

  While do

    The corresponding weight vector with the minimum is deleted from and recalculate the and .

 Step 3: Adding weight vectors:

 If then

  Find the maximum distances of obtained non-dominated solutions, and use Eq. (5) to generate the new weight vectors.

 Step 4: Deleting some weight vectors of from

 If >0.5 then

    Use the crowding distance to delete -0.5 weight vectors of from .