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New Advances in Fuzzy Logic and Fuzzy Systems
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New Advances in Fuzzy Logic and Fuzzy Systems

A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "D2: Operations Research and Fuzzy Decision Making".

Deadline for manuscript submissions: closed (20 April 2025) | Viewed by 3879

Special Issue Editors

Prof. Dr. Nohe R. Cazarez-Castro

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Guest Editor
Instituto Tecnológico de Tijuana, Tecnológico Nacional de México, Tijuana 22414, Mexico
Interests: mathematical and computational modeling; fuzzy differential equations; fuzzy systems; robotics; nonlinear control; genetic algorithms and applications
Special Issues, Collections and Topics in MDPI journals
Prof. Dr. Selene L. Cardenas-Maciel

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Guest Editor
Instituto Tecnológico de Tijuana, Tecnológico Nacional de México, Tijuana 22414, Mexico
Interests: mathematical and computational modeling; computational intelligence; fuzzy systems; robotics; nonlinear control; genetic algorithms and applications
Special Issues, Collections and Topics in MDPI journals
Prof. Dr. Jorge A. Lopez-Renteria

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Guest Editor
Secretaría de Ciencia, Humanidades, Tecnología e Innovación (SECIHTI), Instituto Tecnológico de Tijuana, Tecnológico Nacional de México, Tijuana 22414, Mexico
Interests: dynamical systems; fractional order systems
Special Issues, Collections and Topics in MDPI journals

Special Issue Information

Dear Colleagues,

This Special Issue will compile frontier research in the areas of fuzzy sets and fuzzy systems, both in terms of theory and applications, with a particular interest on dynamic systems and control. Fuzzy sets and fuzzy systems are a fundamental approach to engineering; so, engineering applications of fuzzy sets and fuzzy systems in include: 

  • Automatic control;
  • Clustering;
  • Education;
  • Forecasting;
  • Fuzzy differential equations;
  • Fuzzy-fractional differential equations;
  • Mechatronics;
  • Modelling;
  • Robotics;
  • Structural analysis;
  • Synchronization.

Prof. Dr. Nohe R. Cazarez-Castro
Prof. Dr. Selene L. Cardenas-Maciel
Prof. Dr. Jorge A. Lopez-Renteria
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. Mathematics is an international peer-reviewed open access semimonthly 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 2600 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

  • fuzzy sets
  • fuzzy systems
  • dynamic systems
  • control
  • fractional systems

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Published Papers (2 papers)

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Research

26 pages, 2343 KiB  
Article
Analysis of a Dry Friction Force Law for the Covariant Optimal Control of Mechanical Systems with Revolute Joints
by Juan Antonio Rojas-Quintero, François Dubois, Hedy César Ramírez-de-Ávila, Eusebio Bugarin, Bruno Sánchez-García and Nohe R. Cazarez-Castro
Mathematics 2024, 12(20), 3239; https://doi.org/10.3390/math12203239 - 16 Oct 2024
Viewed by 1133
Abstract
This contribution shows a geometric optimal control procedure to solve the trajectory generation problem for the navigation (generic motion) of mechanical systems with revolute joints. The mechanical system is analyzed as a nonlinear Lagrangian system affected by dry friction at the joint level. [...] Read more.
This contribution shows a geometric optimal control procedure to solve the trajectory generation problem for the navigation (generic motion) of mechanical systems with revolute joints. The mechanical system is analyzed as a nonlinear Lagrangian system affected by dry friction at the joint level. Rayleigh’s dissipation function is used to model this dissipative effect of joint-level friction, and regarded as a potential. Rayleigh’s potential is an invariant scalar quantity from which friction forces derive and are represented by a smooth model that approaches the traditional Coulomb’s law in our proposal. For the optimal control procedure, an invariant cost function is formed with the motion equations and a Riemannian metric. The goal is to minimize the consumed energy per unit time of the system. Covariant control equations are obtained by applying Pontryagin’s principle, and time-integrated using a Finite Elements Method-based solver. The obtained solution is an optimal trajectory that is then applied to a mechanical system using a proportional–derivative plus feedforward controller to guarantee the trajectory tracking control problem. Simulations and experiments confirm that including joint-level friction forces at the modeling stage of the optimal control procedure increases performance, compared with scenarios where the friction is not taken into account, or when friction compensation is performed at the feedback level during motion control. Full article
(This article belongs to the Special Issue New Advances in Fuzzy Logic and Fuzzy Systems)
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26 pages, 2466 KiB  
Article
An Integrated Instruction and a Dynamic Fuzzy Inference System for Evaluating the Acquirement of Skills through Learning Activities by Higher Middle Education Students in Mexico
by Cecilia Leal-Ramírez and Héctor Alonso Echavarría-Heras
Mathematics 2024, 12(7), 1015; https://doi.org/10.3390/math12071015 - 28 Mar 2024
Cited by 1 | Viewed by 1167
Abstract
Background: The evaluation of the development of a student’s abilities and skills through a learning activity is a topic strongly questioned by the education system in Mexico. Several instruments have been developed to achieve said evaluation. However, these involve both qualitative and subjective [...] Read more.
Background: The evaluation of the development of a student’s abilities and skills through a learning activity is a topic strongly questioned by the education system in Mexico. Several instruments have been developed to achieve said evaluation. However, these involve both qualitative and subjective assessment, thereby avoiding the possibility of unambiguously verifying the development of a student’s aptitudes. Methods: We developed a new instrument composed of an integrated instruction and a dynamic fuzzy inference system. Integrated instruction is a table that contains a set of instructions and a set of indicators that make it possible to evaluate knowledge, procedure, and attitude without establishing qualitative or subjective criteria to rank them. The dynamic fuzzy inference system assesses indicators under a criterion to demonstrate the development of a student’s abilities and skills. Results: The method was applied to three different learning activities, where the assessment was precise and transparent for the student, contributing to an extraordinary identification of the acquainted knowledge, procedure, and attitude that the student displayed to develop the activity. Conclusions: Our instrument evaluates the development of abilities and skills without ambiguity or subjectivity, making efficient feedback possible and allowing it to be perfected without difficulties for future adaptations. Full article
(This article belongs to the Special Issue New Advances in Fuzzy Logic and Fuzzy Systems)
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