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    Area of Science:

    • Computational Intelligence
    • Optimization Algorithms
    • Evolutionary Computation

    Background:

    • Multi-operator and multi-method evolutionary algorithms often show inconsistent performance across diverse problems.
    • Current algorithm design relies heavily on trial-and-error, lacking a systematic approach.
    • A need exists for more robust and consistently performing optimization techniques.

    Purpose of the Study:

    • To propose a novel cooperative framework for evolutionary algorithms.
    • To enhance optimization performance through a rule-based cooperative strategy.
    • To improve the consistency and effectiveness of evolutionary computation methods.

    Main Methods:

    • Developed a cooperative strategy where two algorithms form a team, utilizing fuzzy rules based on solution quality and population diversity.
    • Implemented two subpopulations, dynamically emphasizing the better-performing one.
    • Incorporated a learning mechanism where inferior algorithms learn from superior ones, with fine-tuning in later stages.

    Main Results:

    • The proposed cooperative evolutionary algorithm demonstrated a high success rate on benchmark datasets (CEC2014, CEC2013, CEC2005, and 12 classical problems).
    • The algorithm consistently outperformed traditional single-operator-based algorithms.
    • It also showed superior performance compared to various state-of-the-art algorithms in the literature.

    Conclusions:

    • The proposed fuzzy rule-based cooperative approach offers a significant improvement over existing evolutionary algorithms.
    • This method provides a more systematic and effective way to design cooperative optimization strategies.
    • The enhanced performance and consistency suggest broader applicability in complex optimization tasks.