Search for Articles:
Title / Keyword
Author / Affiliation / Email
Journal
Article Type
 
 
Advanced Search
 
Section
Special Issue
Volume
Issue
Number
Page
 
3.5
2.4
Journals
Mathematics
Special Issues
Soft Computing Techniques and Mathematical Modelling for Complex Dynamic Systems
share announcement

Soft Computing Techniques and Mathematical Modelling for Complex Dynamic Systems

A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "Fuzzy Sets, Systems and Decision Making".

Deadline for manuscript submissions: 31 May 2024 | Viewed by 6042

Special Issue Editors

Dr. Narsis Aftab Kiani

E-Mail Website
Guest Editor
Algorithmic Dynamics Lab, Department of Oncology-Pathology & Center of Molecular Medicine, Karolinska Institutet, 171 77 Solna, Sweden
Interests: dynamical system; network theory; algorithmic information theory; machine learning; fuzzy logic; precision medicine; computational pharmacology; algorithmic information dynamics
Special Issues, Collections and Topics in MDPI journals
Prof. Dr. Tofigh Allahviranloo

E-Mail Website
Guest Editor
Faculty of Engineering and Natural Sciences, Istinye University, Istanbul 34010, Turkey
Interests: uncertain dynamical system; fuzzy systems; biomathematics models; numerical analysis

Special Issue Information

Dear Colleagues,

Many real-world observations are outputs of complex dynamic systems. The prediction and/or control of the future state of these systems are needed for various reasons. It is difficult to carry out comprehensive studies of such systems. Quite often, solutions to these problems are impossible to achieve without the use of soft computing and mathematical modelling techniques. Soft computing techniques that involve neural networks, evolutionary algorithms, fuzzy logic, and other natural computing algorithms are state-of-the-art methods used to solve complex problems such as recognition, classification, optimization, identification, and simulation. This Special Issue welcomes original research papers that focus on such methods and expand ground-breaking aspects of soft computing and mathematical modeling with novel methods and theories, as well as those that cover innovative and successful applications of dynamic systems for fronting real-world problems. Physics-inspired soft computing approaches and applications in biology and medicine are especially welcome. 

Dr. Narsis Aftab Kiani
Prof. Dr. Tofigh Allahviranloo
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-set- and logic-based methods for dynamic systems
  • mathematical modelling of biological systems
  • data-driven discovery of systems’ governing equations
  • deep learning applications in dynamic systems
  • stability analysis and control of biological systems
  • evolutionary algorithms
  • swarm intelligent algorithms
  • other natural computing algorithms

Published Papers (5 papers)

Download All Papers
Order results
Result details
Show export options expand_more Show export options expand_less
Select all
Export citation of selected articles as:

Research

21 pages, 686 KiB  
Article
Applications of Special Functions to Approximate Stochastic Bi-Homomorphisms and Stochastic Bi-Derivations in FB-Algebras and FC-⋄-Algebras of the Matrix Type
by Zahra Eidinejad, Reza Saadati, Radko Mesiar and Pandora Raja
Mathematics 2023, 11(6), 1329; https://doi.org/10.3390/math11061329 - 09 Mar 2023
Viewed by 693
Abstract
We apply special functions and use the concept of the aggregation function to introduce a new class of fuzzy control functions, and based on this, we obtain the best approximation for the stochastic bi-homomorphisms and stochastic bi-derivations in FB-algebras and FC-⋄-algebras of matrix [...] Read more.
We apply special functions and use the concept of the aggregation function to introduce a new class of fuzzy control functions, and based on this, we obtain the best approximation for the stochastic bi-homomorphisms and stochastic bi-derivations in FB-algebras and FC-⋄-algebras of matrix type associated with the bi-additive random operator inequality. Full article
(This article belongs to the Special Issue Soft Computing Techniques and Mathematical Modelling for Complex Dynamic Systems)
24 pages, 4522 KiB  
Article
Describing Water Wave Propagation Using the G′G2–Expansion Method
by Safoura Rezaei Aderyani, Reza Saadati, Donal O’Regan and Fehaid Salem Alshammari
Mathematics 2023, 11(1), 191; https://doi.org/10.3390/math11010191 - 29 Dec 2022
Cited by 5 | Viewed by 1257
Abstract
In the present study, our focus is to obtain the different analytical solutions to the space–time fractional Bogoyavlenskii equation in the sense of the Jumaries-modified Riemann–Liouville derivative and to the conformable time–fractional-modified nonlinear Schrödinger equation that describes the fluctuation of sea waves and [...] Read more.
In the present study, our focus is to obtain the different analytical solutions to the space–time fractional Bogoyavlenskii equation in the sense of the Jumaries-modified Riemann–Liouville derivative and to the conformable time–fractional-modified nonlinear Schrödinger equation that describes the fluctuation of sea waves and the propagation of water waves in ocean engineering, respectively. The G′G2–expansion method is applied to investigate the dynamics of solitons in relation to governing models. Moreover, the restriction conditions for the existence of solutions are reported. In addition, we note that the accomplished solutions are useful to the description of wave fluctuation and the wave propagation survey and are also significant for experimental and numerical verification in ocean engineering. Full article
(This article belongs to the Special Issue Soft Computing Techniques and Mathematical Modelling for Complex Dynamic Systems)
►▼ Show Figures

Figure 1

21 pages, 3857 KiB  
Article
An Estimation of an Acceptable Efficiency Frontier Having an Optimum Resource Management Approach, with a Combination of the DEA-ANN-GA Technique (A Case Study of Branches of an Insurance Company)
by Reza Sanei, Farhad Hosseinzadeh lotfi, Mohammad Fallah and Farzad Movahedi Sobhani
Mathematics 2022, 10(23), 4503; https://doi.org/10.3390/math10234503 - 29 Nov 2022
Cited by 1 | Viewed by 966
Abstract
In this paper, a novel artificial intelligence technique for the estimation of near-optimal resource management is proposed. The model utilizes a two-stage data envelopment analysis to find the best-practice frontier of the decision-making units. By employing this data, a supervised multi-layer Artificial Neural [...] Read more.
In this paper, a novel artificial intelligence technique for the estimation of near-optimal resource management is proposed. The model utilizes a two-stage data envelopment analysis to find the best-practice frontier of the decision-making units. By employing this data, a supervised multi-layer Artificial Neural Network is exercised. This network is capable of predicting the frontier for the near future by receiving input and mediator variables. In the next step, a genetic algorithm is formed to find an optimal input value for the artificial neural network, such that the overall performance of decision-making units in the near future is maximized. The proposed algorithm allows the managers to set some restrictions on the whole system, including the minimum efficiency and the maximum change on resources. The performance of the presented technique is reviewed on 31 branches of an insurance company, during the years 2015 to 2018. The results show that the developed algorithm can efficiently maximize the overall performance of decision-making units. Full article
(This article belongs to the Special Issue Soft Computing Techniques and Mathematical Modelling for Complex Dynamic Systems)
►▼ Show Figures

Figure 1

20 pages, 6815 KiB  
Article
Bifurcation and Multiplicity of Solutions of the Navier–Stokes Equations in Driven Semi-Elliptical Cavity Flow
by Ercan Erturk and Tofigh Allahviranloo
Mathematics 2022, 10(22), 4242; https://doi.org/10.3390/math10224242 - 13 Nov 2022
Cited by 1 | Viewed by 1041
Abstract
In this paper, bifurcations in the solution of the Navier–Stokes equations are studied and multiple solutions of the driven semi-elliptical cavity flow are presented. The two-dimensional steady incompressible driven viscous flow in a semi-elliptical cavity is solved numerically. To this end, the problem [...] Read more.
In this paper, bifurcations in the solution of the Navier–Stokes equations are studied and multiple solutions of the driven semi-elliptical cavity flow are presented. The two-dimensional steady incompressible driven viscous flow in a semi-elliptical cavity is solved numerically. To this end, the problem is formulated using an elliptic coordinate system that transforms the geometry conformally and provides a body fitted coordinate system. The presented results show that above a bifurcation Reynolds number the solution of the governing flow equations bifurcates and there exist multiple solutions for a particular Reynolds number when the aspect ratio of the semi-elliptical cavity geometry is 0.26 ⩽D⩽ 0.8. The bifurcation Reynolds numbers for different aspect ratios and also multiple solutions at different Reynolds numbers are presented in detail. Full article
(This article belongs to the Special Issue Soft Computing Techniques and Mathematical Modelling for Complex Dynamic Systems)
►▼ Show Figures

Figure 1

27 pages, 5048 KiB  
Article
Existence, Uniqueness and Stability Analysis with the Multiple Exp Function Method for NPDEs
by Safoura Rezaei Aderyani, Reza Saadati, Donal O’Regan and Fehaid Salem Alshammari
Mathematics 2022, 10(21), 4151; https://doi.org/10.3390/math10214151 - 06 Nov 2022
Cited by 4 | Viewed by 1139
Abstract
In this study, firstly, through an alternative theorem, we study the existence and uniqueness of solution of some nonlinear PDEs and then investigate the Ulam–Hyers–Rassias stability of solution. Secondly, we apply a relatively novel analytical technique, the multiple exp function method, to obtain [...] Read more.
In this study, firstly, through an alternative theorem, we study the existence and uniqueness of solution of some nonlinear PDEs and then investigate the Ulam–Hyers–Rassias stability of solution. Secondly, we apply a relatively novel analytical technique, the multiple exp function method, to obtain the multiple wave solutions of presented nonlinear equations. Finally, we propose the numerical results on tables and discuss the advantages and disadvantages of the method. Full article
(This article belongs to the Special Issue Soft Computing Techniques and Mathematical Modelling for Complex Dynamic Systems)
►▼ Show Figures

Figure 1

Show export options expand_more Show export options expand_less
Select all
Export citation of selected articles as:
 
Displaying articles 1-5
Back to TopTop