Manuscript Topics

Swarm-based algorithms constitute a field of artificial intelligence that has obtained good results in its application to multiple real-world problems. These algorithms are inspired by the collective behavior observed in various groups of animals that allow them to face problems that they could not solve individually. These methods have been applied to solve complex optimization problems, generating very satisfactory results. There are many variants that have been proposed over the years, each one based on a specific mathematical model. However, sometimes a sufficiently detailed description of this mathematical model is not given, which can limit the interest of the proposed method, in addition to preventing other researchers from reproducing the results. Therefore, it is interesting not only the application of swarm-based algorithms to complex problems, but also the correct formulation of the proposed solution.

The goal of this special issue is to provide a platform for researchers to disseminate original, high-quality research on recent applications of swarm intelligence to solve complex problems, with special attention to the mathematical formulation of solutions.
Potential topics include, but are not limited to:

- swarm-based methods applied to real-world problems
- new swarm-based methods with improved qualities
- analysis of the mathematical models underlying swarm algorithms
- comparisons of the efficiency of swarm algorithms with traditional methods applied to optimization problems

As the journal focuses on mathematics, what I intend to indicate is that it would be interesting to publish articles in which swarm algorithms are applied to solve complex optimization problems, but making clear the importance of correctly defining the operations of the algorithm from a mathematical point of view. That is, all the equations necessary to apply the algorithm should be indicated, correct notation should be used, valid ranges specified for each variable, Although it is surprising, these aspects are not taken into account in some articles and many authors simply ‘copy’ the description of the algorithm made by the person who proposed it, without describing details that are necessary to write a program that applies the algorithm.

Another aspect in which a mathematical journal can contribute is in the analysis of why a method works. That is, many authors propose a new method with a set of associated equations, but they do not justify the usefulness of these equations to reach a good solution to the problem.

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