articleIEEE Transactions on Evolutionary ComputationDec 4, 2014Closed access

A Knee Point-Driven Evolutionary Algorithm for Many-Objective Optimization

Anhui University · Donghua University

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Abstract

Evolutionary algorithms (EAs) have shown to be promising in solving many-objective optimization problems (MaOPs), where the performance of these algorithms heavily depends on whether solutions that can accelerate convergence toward the Pareto front and maintaining a high degree of diversity will be selected from a set of nondominated solutions. In this paper, we propose a knee point-driven EA to solve MaOPs. Our basic idea is that knee points are naturally most preferred among nondominated solutions if no explicit user preferences are given. A bias toward the knee points in the nondominated solutions in the current population is shown to be an approximation of a bias toward a large hypervolume, thereby…

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Topics & keywords

Keywords
  • Evolutionary algorithm
  • Mathematical optimization
  • Multi-objective optimization
  • Convergence (economics)
  • Optimization problem
  • Computer science
  • Computational complexity theory
  • Set (abstract data type)
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