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Symmetry
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Symmetry/Asymmetry in Fuzzy Control
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Symmetry/Asymmetry in Fuzzy Control

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

Deadline for manuscript submissions: 28 February 2026 | Viewed by 1245

Special Issue Editors

Dr. José R. García-Martínez

E-Mail Website
Guest Editor
Faculty of Electronics and Communications Engineering, Universidad Veracruzana, Poza Rica 93390, Mexico
Interests: fuzzy logic; motion control; fuzzy control; microcontrollers; IOT
Dr. Edson Eduardo Cruz-Miguel

E-Mail Website
Guest Editor
Faculty of Electronics and Communications Engineering, Universidad Veracruzana, Poza Rica 93390, Mexico
Interests: position controller; artificial intelligence; intelligent control; fuzzy controller; genetic algorithm; optimized controller
Prof. Dr. Juvenal Rodriguez-Resendiz

E-Mail Website
Guest Editor
Facultad de Ingeniería, Universidad Autónoma de Querétaro, Santiago de Querétaro 76010, Mexico
Interests: robotics; biomedical applications; instrumentation and measurement; signal processing
Special Issues, Collections and Topics in MDPI journals

Special Issue Information

Dear Colleagues,

The Special Issue “Symmetry/Asymmetry in Fuzzy Control” aims to analyze the transformative impact of fuzzy logic on the evolution of control methodologies applied to complex and uncertain systems. This issue focuses on the integration in key areas such as dynamical systems, robotics, renewable energy, adaptive and autonomous systems, and motion control, highlighting how fuzzy control increases adaptability, stability, and accuracy in diverse applications. In particular, the concept of symmetry in fuzzy controllers is explored, examining how the symmetric structure can simplify the design and improve the performance of control systems. At the same time, asymmetry allows for addressing more specific and complex scenarios by tuning controller responses to dynamic and nonlinear conditions. This collection seeks to provide new perspectives to address control challenges in modern engineering by promoting interdisciplinary collaboration, combining theoretical advances with practical implementations. Through algorithm development, comparative analysis, and case studies based on real applications, this Special Issue aims to demonstrate the revolutionary potential of fuzzy control in the design and operation of intelligent systems adapted to a constantly changing world.

Dr. José R. García-Martínez
Dr. Edson Eduardo Cruz-Miguel
Prof. Dr. Juvenal Rodriguez-Resendiz
Guest Editors

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Symmetry is an international peer-reviewed open access monthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2400 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

Keywords

  • robotics
  • motion control
  • embedded systems
  • fuzzy control
  • fuzzy sets
  • fuzzy reasoning
  • real-time systems

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Published Papers (2 papers)

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Research

17 pages, 281 KiB  
Article
Fuzzy Double Yang Transform and Its Application to Fuzzy Parabolic Volterra Integro-Differential Equation
by Atanaska Georgieva, Slav I. Cholakov, Maria Vasileva and Yordanka Gudalova
Symmetry 2025, 17(4), 606; https://doi.org/10.3390/sym17040606 - 16 Apr 2025
Viewed by 136
Abstract
This article introduces a new fuzzy double integral transformation called fuzzy double Yang transformation. We review some of the main properties of the transformation and find the conditions for its existence. We prove the theorems for partial derivatives and fuzzy unitary convolution. All [...] Read more.
This article introduces a new fuzzy double integral transformation called fuzzy double Yang transformation. We review some of the main properties of the transformation and find the conditions for its existence. We prove the theorems for partial derivatives and fuzzy unitary convolution. All of the new results are applied to find an analytical solution to the fuzzy parabolic Volterra integro-differential equation (FPVIDE) with a suitably selected memory kernel. In addition, a numerical example is provided to illustrate how the proposed method might be helpful for solving FPVIDE utilizing symmetric triangular fuzzy numbers. Compared with other symmetric transforms, we conclude that our new approach is simpler and needs less calculations. Full article
(This article belongs to the Special Issue Symmetry/Asymmetry in Fuzzy Control)
29 pages, 3567 KiB  
Article
Kinematic Fuzzy Logic-Based Controller for Trajectory Tracking of Wheeled Mobile Robots in Virtual Environments
by José G. Pérez-Juárez, José R. García-Martínez, Alejandro Medina Santiago, Edson E. Cruz-Miguel, Luis F. Olmedo-García, Omar A. Barra-Vázquez and Miguel A. Rojas-Hernández
Symmetry 2025, 17(2), 301; https://doi.org/10.3390/sym17020301 - 17 Feb 2025
Cited by 1 | Viewed by 654
Abstract
Mobile robots represent one of the most relevant areas of study within robotics due to their potential for designing and developing new nonlinear control structures that can be implemented in simulations and applications in specific environments. In this work, a fuzzy steering controller [...] Read more.
Mobile robots represent one of the most relevant areas of study within robotics due to their potential for designing and developing new nonlinear control structures that can be implemented in simulations and applications in specific environments. In this work, a fuzzy steering controller with a symmetric distribution of fuzzy numbers is proposed and designed for implementation in the kinematic model of a non-holonomic mobile robot. The symmetry in the distribution of triangular fuzzy numbers contributes to a balanced response to disturbances and minimizes systematic errors in direction estimation. Additionally, it improves the system’s adaptability to various reference paths, ensuring accurate tracking and optimized performance in robot navigation. Furthermore, this fuzzy logic-based controller emulates the behavior of a classic PID controller by offering a robust and flexible alternative to traditional methods. A virtual environment was also developed using the UNITY platform to evaluate the performance of the fuzzy controller. The results were evaluated by considering the average tracking error, maximum error, steady-state error, settling time, and total distance traveled, emphasizing the trajectory error. The circular trajectory showed high accuracy with an average error of 0.0089 m, while the cross trajectory presented 0.01814 m, reflecting slight deviations in the turns. The point-to-point trajectory registered a more significant error of 0.9531 m due to abrupt transitions, although with effective corrections in a steady state. The simulation results validate the robustness of the proposed fuzzy controller, providing quantitative insights into its precision and efficiency in a virtual environment, and demonstrating the effectiveness of the proposal. Full article
(This article belongs to the Special Issue Symmetry/Asymmetry in Fuzzy Control)
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