Emerging Topics in Multi-objective Optimization and Its Applications

A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "Computational and Applied Mathematics".

Deadline for manuscript submissions: 30 June 2025 | Viewed by 183

Special Issue Editors


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Guest Editor
Department of Economics and Logistics, Faculty of Economics, Ashkelon Academic College, Ashkelon 78211, Israel
Interests: optimizations heuristics; data mining; machine learning; multi-objective optimization; multi-criteria decision making

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Guest Editor
Mechanical Engineering Department, Braude College of Engineering, Karmiel 2161002, Israel
Interests: multi-objective search and optimization; multi-objective neuro-evolution; machine learning; evolutionary computation; multi-payoff games

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Guest Editor
School of Mechanical Engineering, Tel-Aviv University, Tel-Aviv 6997801, Israel; School of Neuroscience, Tel-Aviv University, Tel-Aviv 6997801, Israel
Interests: multi-objective search and optimization; multi-objective multi-concept search and optimization; multi-objective machine learning; multi-payoff games

Special Issue Information

Dear Colleagues,

Multi-Objective Optimization Problems (MOPs) are common in many application domains, such as engineering, management, operation research, finance, medical science, computer science, and informatics. Such problems commonly involve conflicting objectives, a huge number of variables, nonlinear relationships, a variety of soft and hard constraints, and a dynamic and uncertain environment, and as such pose great challenges.

Solving a MOP without a priori articulation of the objective preferences commonly results in more than one solution. Over more than two decades, Pareto-based optimization, which is based on a vector-based domination relation among the candidate solutions, has become a leading approach to solving MOPs. It aims to find the set of optimal solutions and their associated performance vectors, i.e., the Pareto-optimal set and front. The main advantage of this approach is that it exposes the performance tradeoffs of the optimal solution, which supports decision making on the selected solution. It should be noted that, although the research in the field of multi-objective optimization has progressed significantly in the last two decades, the complexity of real-world problems has substantially increased as well.

The scope of this Special Issue includes, but is not limited to, the following topics:

  • Multi/many objective evolutionary and other population-based algorithms;
  • Interactive multi-objective optimization;
  • Benchmarking and performance indicators;
  • Multi-objective machine learning;
  • Surrogate-based methods in multi-objective optimization;
  • Theoretical aspects of multi-objective optimization;
  • Applications and case studies;
  • Multi-objective optimization in a dynamic and uncertain environment;
  • Preference handling techniques;
  • Constraint handling techniques;
  • Visualization techniques;
  • Surrogate-assisted techniques;
  • Theoretical analysis of convergence and scalability.

Dr. Oren E. Nahum
Dr. Adham Salih
Dr. Amiram Moshaiov
Guest Editors

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Keywords

  • optimization
  • multi-objective optimization
  • non-dominated solutions
  • Pareto front
  • exact algorithms
  • mathematical programming
  • heuristics
  • metaheuristics
  • evolutionary algorithms
  • population-based algorithms

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