3 nguyen xuan hung nhung dong gop cua LA tienganh

SUMMARY INFORMATION ON NEW FINDINGS IN DOCTORAL THESIS Thesis title: Objective reduction methods in evolutionary many-objective optimization Major: Mathematical Foundation for Informatics Major code: 46 01 10 PhD Student: Nguyen Xuan Hung Supervisor: Assoc.Prof., Dr Bui Thu Lam Educational institution: Military Technical Academy The new findings of the research: Validating the performance objective reduction strongly depends on which multiobjective evolutionary algorithms (multi- algorithms) /many-objective evolutionary algorithms (many- algorithms) generate non-dominated solution sets It shows that many-objective evolutionary algorithms give better results than multi- algorithms when combining with an objective dimensionality reduction (ODR) It also reveals that the combination giving better results in the case of many- algorithms alone, as well as, it demonstrates that combining with an ODR to remove redundant objectives can significantly improve the performance of many- algorithms Proposing a complete PF-based objective reduction algorithm, namely COR The algorithm utilizes non-dominated set generated by many- algorithms then uses PAM algorithm for removing redundant objectives in solving many-objective optimization problems It can automatically determine parameters for reduction and its results are comparable with the existing methods Proposing two partial PF-based objective reduction algorithms, namely PCS-LPCA and PCS-Cluster The algorithms employ Pareto corner search evolutionary algorithm (PCSEA) for obtaining a partial PF, namely only “corner” solutions of PF Based on these solutions, machine learning algorithms are then used to remove the redundant objectives The results show that the integration between PCSEA and ODRs gives better performance in finding the essential objectives and eliminate redundant ones for problems with a large number of objectives than other objective reduction algorithms Hanoi, October 27th 2022 Supervisor Phd Student Assoc.Prof., Dr Bui Thu Lam Nguyen Xuan Hung