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An Opposition-Based Evolutionary Algorithm for Many-Objective Optimization with Adaptive Clustering Mechanism.

Wan Liang Wang1, Weikun Li1, Yu Le Wang1

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This study introduces an opposition-based evolutionary algorithm with adaptive clustering to balance convergence and diversity in many-objective optimization problems, demonstrating superior performance on complex engineering challenges.

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Area of Science:

  • Computational Intelligence
  • Optimization Algorithms
  • Evolutionary Computation

Background:

  • Balancing convergence and diversity is crucial in many-objective optimization.
  • Evolutionary algorithms face significant challenges with a large number of objectives.
  • Existing methods struggle to maintain both solution quality and spread.

Purpose of the Study:

  • To propose a novel opposition-based evolutionary algorithm (OBOEA) with an adaptive clustering mechanism.
  • To enhance the performance of evolutionary algorithms in many-objective optimization.
  • To ensure both convergence and diversity in solving complex optimization problems.

Main Methods:

  • Integrating opposition-based learning for initial solution generation.
  • Employing a nondominated sorting scheme with a new adaptive clustering mechanism for environmental selection.
  • Comparing the proposed OBOEA with nine other evolutionary algorithms on test problems with up to 15 objectives.

Main Results:

  • The proposed OBOEA demonstrated superior performance compared to nine other evolutionary algorithms.
  • The algorithm effectively balanced convergence and diversity in many-objective optimization.
  • Experimental results confirmed the algorithm's competitiveness and effectiveness on real-world engineering problems.

Conclusions:

  • The proposed opposition-based evolutionary algorithm with adaptive clustering is effective for many-objective optimization.
  • This approach successfully addresses the challenges of balancing convergence and diversity.
  • The algorithm shows significant potential for solving complex, real-world multiobjective engineering problems.