Symmetry/Asymmetry in Multi-Objective Optimization

A special issue of Symmetry (ISSN 2073-8994). This special issue belongs to the section "Computer".

Deadline for manuscript submissions: 31 October 2025 | Viewed by 428

Special Issue Editor


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Guest Editor
School of Mathematics and Informatics, South China Agricultural University, Guangzhou 510642, China
Interests: constrained evolutionary; multi-objective optimization; UAV path planning; mobile-edge computing

Special Issue Information

Dear Colleagues,

Multi-objective optimization is a fundamental discipline in operations research, artificial intelligence, and decision-making, dealing with the simultaneous optimization of multiple conflicting objectives. Symmetry and asymmetry play critical roles in shaping problem structures and influencing the efficiency of optimization algorithms. Symmetry in objectives, constraints, or decision variables often simplifies problem formulation, enabling the design of efficient algorithms that exploit regularity. Conversely, asymmetry introduces complexity and realism, better modeling real-world scenarios where objectives, constraints, or interactions are inherently unbalanced.

Symmetry-based approaches are extensively utilized in multi-objective optimization problems to enhance computational efficiency, simplify analysis, and uncover inherent patterns. On the other hand, addressing asymmetry requires adaptive strategies and novel algorithms that cater to heterogeneous or irregular problem features. The balance between leveraging symmetry and managing asymmetry is pivotal in advancing multi-objective optimization techniques for applications such as logistics, engineering design, and machine learning.

This Special Issue aims to explore the interplay of symmetry and asymmetry in multi-objective optimization, with a focus on theoretical advancements, algorithmic innovations, and real-world applications. Topics of interest include, but are not limited to, the following:

  • Symmetry in Pareto front approximation and analysis;
  • Handling asymmetry in dynamic or stochastic multi-objective problems;
  • Symmetry-aware evolutionary algorithms and heuristics;
  • Multi-objective optimization in large-scale and high-dimensional spaces;
  • Applications of symmetry and asymmetry in engineering, healthcare, and economics;
  • Integration of artificial intelligence techniques with multi-objective optimization;
  • Case studies demonstrating the impact of symmetry or asymmetry in decision-making.

We invite contributions that push the boundaries of both theoretical understanding and practical application in multi-objective optimization.

Dr. Chaoda Peng
Guest Editor

Manuscript Submission Information

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Keywords

  • multi-objective optimization
  • optimization algorithms
  • pareto front
  • evolutionary algorithms
  • stochastic problems
  • high-dimensional spaces
  • artificial intelligence
  • decision making

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Published Papers (1 paper)

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Research

25 pages, 45927 KiB  
Article
Three-Dimensional Path Planning for AUVs Based on Interval Multi-Objective Secretary Bird Optimization Algorithm
by Runkang Tang, Liang Qi, Shuxia Ye, Changjiang Li, Tian Ni, Jia Guo, Huan Liu, Yushan Li, Danfeng Zuo, Jiayu Shi and Jiajun Gong
Symmetry 2025, 17(7), 993; https://doi.org/10.3390/sym17070993 - 24 Jun 2025
Viewed by 278
Abstract
Path planning is crucial for autonomous underwater vehicles (AUVs) and plays a vital role in ocean engineering. To improve the search efficiency and accuracy, this study proposed a three-dimensional path-planning method for AUVs based on the interval multi-objective secretary bird optimization algorithm (IMOSBOA). [...] Read more.
Path planning is crucial for autonomous underwater vehicles (AUVs) and plays a vital role in ocean engineering. To improve the search efficiency and accuracy, this study proposed a three-dimensional path-planning method for AUVs based on the interval multi-objective secretary bird optimization algorithm (IMOSBOA). This method addressed path-planning challenges under imprecise current predictions and uncertain hazard source locations. First, the marine environment was modeled in three dimensions using the interval theory. Second, the danger levels and navigation times were set as the optimization objectives to construct a three-dimensional path-planning mathematical model. Finally, IMOSBOA was proposed and applied to solve the optimization problem. To verify the optimization performance of the new algorithm, its planning results were compared with those of the other algorithms. The simulation results demonstrated that the robustness and search capability of the proposed algorithm surpass those of comparative algorithms. Full article
(This article belongs to the Special Issue Symmetry/Asymmetry in Multi-Objective Optimization)
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