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    A new robust multiobjective competitive swarm optimizer with a predictive indicator (RMOCSO-PI) enhances reliability by reducing uncertain evolutionary searches. This approach improves optimization performance and stability for complex problems.

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    Area of Science:

    • Computational intelligence
    • Optimization algorithms
    • Swarm intelligence

    Background:

    • The competitive swarm optimizer (CSO) is effective for multiobjective optimization but suffers from evolutionary process uncertainty, impacting reliability.
    • Existing methods struggle to mitigate the inherent randomness in CSO's evolutionary path.

    Purpose of the Study:

    • To propose a robust multiobjective CSO with a predictive indicator (RMOCSO-PI) to enhance algorithmic reliability and reduce inefficient searches.
    • To improve the stability and performance of multiobjective optimization using a predictive approach.

    Main Methods:

    • Developed a predictive indicator using an autoregressive model to forecast evolutionary trends based on historical swarm data.
    • Classified particles into winners and losers for differential evolution guidance, employing a space fusion-based competitive mechanism for precise direction.
    • Introduced a dynamic cooperative mechanism with three patterns for purposeful diversity exploration based on estimated evolutionary states.

    Main Results:

    • The RMOCSO-PI approach effectively reduces aimless and inefficient searches, thereby enhancing algorithmic robustness.
    • Convergence analysis provides theoretical support for the validity and reliability of the proposed RMOCSO-PI.
    • Experimental results demonstrate that RMOCSO-PI achieves more stable and excellent optimization performance compared to existing methods.

    Conclusions:

    • RMOCSO-PI significantly improves the robustness and reliability of multiobjective optimization by addressing evolutionary uncertainty.
    • The integration of predictive indicators, differential guidance, and dynamic cooperation leads to superior and stable optimization outcomes.