A Survey on Knee-Oriented Multiobjective Evolutionary Optimization

Guo Yu,Lianbo Ma,Yaochu Jin,Wenli Du,Qiqi Liu,Hengmin Zhang

Published 2022 in IEEE Transactions on Evolutionary Computation

ABSTRACT

Conventional multiobjective optimization algorithms (MOEAs) with or without preferences are successful in solving multi- and many-objective optimization problems. However, a strong hypothesis underlying their performance is that MOEAs are able to find a representative solution set to cover the entire Pareto-optimal front (PF) and decision makers are able to conveniently and precisely articulate their preference, which is not always easy to fulfill in practice. Accordingly, it is suggested that representative solutions in the naturally interesting regions of the PF rather than the whole PF should be targeted. A large body of research has been proposed to search or identify the knees or knee regions over the past decades. Therefore, this article aims to provide a comprehensive survey of the research on knee-oriented optimization. We start with a discussion of the importance and basic concepts of the knees, followed by a summary of knee-oriented benchmarks and indicators. After that, knee-oriented frameworks and techniques, and real-world applications are presented. Finally, potential challenges are pointed out and a few promising future lines of research are suggested. The survey offers a new perspective to develop MOEAs for solving multi- and many-objective optimization problems.

PUBLICATION RECORD

  • Publication year

    2022

  • Venue

    IEEE Transactions on Evolutionary Computation

  • Publication date

    2022-12-01

  • Fields of study

    Mathematics, Computer Science, Engineering

  • Identifiers
  • External record

    Open on Semantic Scholar

  • Source metadata

    Semantic Scholar

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