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Multiobjectivization of Single-Objective Optimization in Evolutionary Computation: A Survey.

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    Multiobjectivization transforms single-objective optimization problems (SOPs) into multiobjective optimization problems (MOPs) using evolutionary computation. This approach enhances solution quality by reducing local optima and improving diversity.

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    Area of Science:

    • Evolutionary Computation
    • Optimization Theory

    Background:

    • Single-objective optimization problems (SOPs) are often challenging to solve efficiently.
    • Multiobjectivization offers a novel paradigm to address SOPs by transforming them into multiobjective optimization problems (MOPs).

    Purpose of the Study:

    • To provide a comprehensive survey of state-of-the-art multiobjectivization methods.
    • To introduce a new taxonomy for classifying these methods.
    • To discuss the advantages, limitations, challenges, theoretical analyses, benchmarks, applications, and future directions.

    Main Methods:

    • Transformation of SOPs into MOPs through techniques like adding helper objectives, decomposing objectives, or aggregating objectives.
    • Application of evolutionary algorithms to solve the transformed MOPs.
    • Systematic review and categorization of existing multiobjectivization techniques.

    Main Results:

    • Multiobjectivization can reduce local optima, create new search paths, yield more incomparable solutions, and improve solution diversity in SOPs.
    • A new taxonomy is proposed to structure the diverse range of multiobjectivization methods.
    • The survey covers a wide spectrum of aspects, from theoretical underpinnings to practical applications.

    Conclusions:

    • Multiobjectivization is a powerful technique for enhancing the solution of SOPs within evolutionary computation.
    • The proposed taxonomy and comprehensive survey facilitate a deeper understanding and further research in this field.
    • Future research directions are identified to advance the capabilities and applications of multiobjectivization.