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Hybrid Multiobjective Differential Evolution Based on Positions of Individuals in Multiobjective Optimization

Authors: Wenqiang Zhang; Diji Yang; Yu Wang; Zhan Qian; Heyang Xu; Mitsuo Gen;

Hybrid Multiobjective Differential Evolution Based on Positions of Individuals in Multiobjective Optimization

Abstract

This paper proposes a hybrid multiobjective differential evolution (HMODE) framework based on positions of individuals in Pareto frontier (PF) to solve multiobjective optimization problem. Firstly, the hybrid multiobjective evolutionary algorithm (HMOEA) in HMODE is designed as the global search strategy to explore the entire solution space. HMOEA uses Pareto dominating and dominated relationship-based fitness function (PDDR-FF) to distinguish the nondominated and dominated individuals. The location information of individual can be determined by its PDDR-FF value. The elitist maintenance strategy based on PDDR-FF and simple selection strategy guarantee the capability of converging to the multiple directions of PF quickly and distributing along the PF uniformly. Secondly, differential evolution (DE) is combined with HMOEA as the local search to enhance the convergence and distribution performances on the elite population derived from HMOEA. Different PDDR-FF values of individuals clearly reflect their dominance relationships and position information in the PF. DE uses the position information of alternative individuals to finely tune the search directions to multiple areas of PF. Numerical comparisons indicate that the efficacy of HMODE outperforms HMOEA in convergence and distribution performances.

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
2
Average
Average
Average
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