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    Area of Science:

    • Optimization
    • Computational Intelligence
    • Evolutionary Computation

    Background:

    • Dynamic multi-objective optimization problems (DMOPs) present significant challenges due to conflicting objectives that change over time.
    • Existing algorithms struggle to efficiently adapt to the temporal dynamics inherent in DMOPs.

    Purpose of the Study:

    • To propose a novel cooperative co-evolutionary strategy tailored for solving DMOPs.
    • To enhance the adaptability and convergence speed of optimization algorithms in dynamic environments.

    Main Methods:

    • A new method for grouping decision variables based on environmental interrelation.
    • Utilizing two populations for cooperative optimization of variable subcomponents.
    • Employing differential prediction and Cauchy mutation for rapid environmental response.
    • Integrating the strategy into NSGA-II and multi-objective particle swarm optimization to create DNSGAII-CO and DMOPSO-CO.

    Main Results:

    • The proposed algorithms, DNSGAII-CO and DMOPSO-CO, demonstrated superior performance compared to three state-of-the-art algorithms on seven benchmark DMOPs.
    • Significant improvements in convergence and distribution were observed across most tested DMOPs.
    • The cooperative co-evolutionary strategy effectively addresses the challenges posed by time-varying objectives.

    Conclusions:

    • The developed cooperative co-evolutionary strategy based on environment sensitivities is effective for solving DMOPs.
    • The proposed DNSGAII-CO and DMOPSO-CO algorithms offer significant advantages in handling dynamic and multi-objective optimization challenges.
    • This research contributes a robust framework for tackling complex, time-varying optimization problems.