In the case of decomposition based MaOPs, for example NSGA3, some predefined Ref.Points are associated to the population members in order to decompose a Many Objective problems to the series of multi/single objective problem!!
so how it works??
Dear Amirhosein Fardi,
I suggest you to see links and attached file on topic.
https://www.sciencedirect.com/science/article/abs/pii/S0020025521006599
https://www.sciencedirect.com/science/article/abs/pii/S0020025520311907
Article A Many-Objective Optimization Algorithm Based on Weight Vect...
Conference Paper Reference point based multi-objective optimization through d...
Article A modified particle swarm optimization based on decompositio...
Best regards
Please check the following:
Conference Paper Reference point based multi-objective optimization through d...
Article Generating multiple reference vectors for a class of many-ob...
The Ref. points or vector which are also in some cases different with each other, decomposes the objective space with the use of vectors from the origin to the desired point.
So while the algorithms is being ran, the population members gather around their own associated Ref.point so each Ref. point make some particles just to search the area around it in order to enhance the diversity of the population!
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