Aims and scope

Journal of Applied Mathematics is a refereed journal devoted to the publication of original research papers and review articles in all areas of applied, computational, and industrial mathematics.

Special Issue on New Trends in Fuzzy Logic and Data-Driven Methods
Submission Date: 2024-09-27

Description

The Special Issue’s purpose is to present recent developments in fuzzy logic and data-driven methods. Fuzzy models and data-driven models can be found in applications in a lot of scientific fields in engineering, biology, geology, medicine and in a wide spectrum of new scientific topics, such as decision making, control systems and artificial intelligence.

Fuzzy methods and data-driven methods are both versatile topics and combine classical and applied mathematics. We consider that fuzzy connectors (i.e., fuzzy 'and', fuzzy 'or' and fuzzy negations) play a key role in the construction of fuzzy implications. Fuzzy implications are the building block of artificial intelligence. Fuzzy partial parabolic equation problems with engineering applications can be solved using Finite Differences or Finite Elements methods. Fuzzy Estimators can be used in the solution with very useful results in management problems. On the other side, with the advent of large data recordings, data-driven methods constitute a vital research area for modelling and understanding complex systems in biology, ecology, social, technological, and engineering science. Data-driven methods for complex systems allow us to build realistic models, understand emerging behaviors, and predict or control the future states of the system. Our challenge is to take the aforementioned theory to a deeper level and broaden the range of problems in which it will be applied.

The aim of this Special Issue is to cover recent developments in fuzzy modelling and in data-driven methods relevant to a broad readership from physics, mathematics, biology, and engineering. In this collection, different modelling techniques, from ordinary and partial differential equations, to agent-based models on networks, are collected to describe complex systems of interest. In this special issue we are interested in research that presents new theory and related concepts and also in research works with methods and solutions in problems of interest. We welcome original research and review articles.

Potential topics include but are not limited to the following:

    Differential Equations
    Algebra of fuzzy connectivity
    Fuzzy Implications
    Fuzzy Connectives
    Quantification of uncertainty;
    Manifold learning algorithms and model reduction methods
    Machine and deep learning for dynamical systems
    Koopman's theory for systems identification
    Control and optimisation of complex and experimental systems
    Topological data analysis
    Dynamics in networks
    Criticality and Emergent Phenomena
    Ecological, technological, and climate networks
    Traffic and crowd dynamics
    Biological networks

Editors

Lead Editor

Avrilia Konguetsof1

1Democritus University of Thrace, Komotini, Greece

Guest Editors

Nikos Kavallaris1 | Christos Tzimopoulos2
1Karlstad University, Karlstad, Sweden
2Aristotle University of Thessaloniki, Thessaloniki, Greece