How the reference points (vectors) decompose the Many Objective Optimization problem to the single Objective problems?

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Mohamed-Mourad Lafifi

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

Noha A. Mostafa

Please check the following:

Article Generating multiple reference vectors for a class of many-ob...

Amirhosein Fardi

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!