Dynamics under Uncertainty: Modeling Simulation and Complexity II

A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "Dynamical Systems".

Deadline for manuscript submissions: closed (28 April 2023) | Viewed by 9512

Special Issue Editors


grade E-Mail Website
Guest Editor

E-Mail Website
Guest Editor
Department of Structural Analysis, Technical University of Berlin, 10623 Berlin, Germany
Interests: finite element analysis; nano materials; nano technology; materials science; modeling; mathematical modeling; experimentation; ansys; labview, transportatiom; civil engineering; structural engineering; mechanical engineering
Special Issues, Collections and Topics in MDPI journals

Special Issue Information

Dear Colleagues,

The dynamics of systems have proven to be very powerful tools in understanding the behavior of different natural phenomena throughout the last two centuries. However, the attributes of natural systems are observed to deviate from their classical state due to the effects of different types of uncertainties. In fact, randomness and impreciseness are the two major sources of uncertainties in natural systems. Randomness is modeled by different stochastic processes, and impreciseness can be modeled by fuzzy sets, rough sets, Dempster–Shafer theory, etc.

Generally, symmetry, asymmetry, and antisymmetry are basic characteristics of binary relations used when modeling dynamical systems. Moreover, the notion of symmetry has appeared in many articles about fuzzy sets, rough sets, Dempster–Shafer theory, etc., which are employed in dynamical systems. Hence, the behavior of dynamical systems with uncertain variables, parameters, and functions has recently attracted academic attention. Similarly, the study of the dynamics manifested in complex networks, or an interaction network of individuals, became popular in the last few decades. The study of collective dynamics in complex interaction networks has been proven to be useful to understand collective dynamic phenomena like the emergence of cooperation between rational agents, the synchronization of signals like a flashlight or fireflies, rumor spreading, conscious forming in a social network, etc. Different methods of statistical mechanics are also successfully applied to study such complex systems and to understand the emergence of different collective behavior. When randomness and imprecision coexist in a system, the system is called a hybrid uncertain system. In such a system, the overall uncertainty is an aggregation of both types of uncertainties. However, in the context of modeling the behavior of complex natural systems, it is extremely important to analyze the effect of appropriate uncertainty in order to understand the predictability of different phenomena. Examples of such uncertain dynamical systems could be cited in different levels of the universe ranging from the interaction of quantum particles to the complex interaction of biochemical molecules like signaling in the brain, or even complex social interactions like forming opinions.

This Special Issue will collect high-quality papers addressing uncertain dynamics, their modeling, and their simulation. Submitted papers should not have been previously published or be currently under consideration for publication elsewhere.

We invite authors to submit original research articles that propose novel modeling and simulation of uncertain complex systems in various fields of natural science.

A quick query of Scopus on uncertain dynamics clearly demonstrates a rapid and steady growth of the area as shown in Figure 1.

text

Figure 1. Publications related to uncertain dynamics.

Potential topics include but are not limited to the following:

  • Stochastic dynamics, SPDE;
  • Random dynamical systems;
  • Rough path analysis, random matrix;
  • Uncertain dynamics, fuzzy dynamics, rough dynamics;
  • Network analysis of complex dynamics;
  • Hybrid uncertainty analysis;
  • Simulation and complexity of dynamics under uncertainty.

Prof. Dr. Dragan Pamucar
Prof. Dr. Dragan Marinkovic
Prof. Dr. Samarjit Kar
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.

Published Papers (5 papers)

Order results
Result details
Select all
Export citation of selected articles as:

Research

22 pages, 2960 KiB  
Article
Trapezoidal Interval Type-2 Fuzzy PIPRECIA-MARCOS Model for Management Efficiency of Traffic Flow on Observed Road Sections
by Wei Xu, Dillip Kumar Das, Željko Stević, Marko Subotić, Adel F. Alrasheedi and Shiru Sun
Mathematics 2023, 11(12), 2652; https://doi.org/10.3390/math11122652 - 10 Jun 2023
Cited by 3 | Viewed by 881
Abstract
Road infrastructure management is an extremely important task of traffic engineering. For the purpose of efficient management, it is necessary to determine the efficiency of the traffic flow through PAE 85%, AADT and other exploitation parameters on the one hand, and the number [...] Read more.
Road infrastructure management is an extremely important task of traffic engineering. For the purpose of efficient management, it is necessary to determine the efficiency of the traffic flow through PAE 85%, AADT and other exploitation parameters on the one hand, and the number of different types of traffic accidents on the other. In this paper, a novel TrIT2F (trapezoidal interval type-2 fuzzy) PIPRECIA (pivot pairwise relative criteria importance assessment)-TrIT2F MARCOS (measurement of alternatives and ranking according to compromise solution) was developed in order to, in a defined set of 14 road segments, identify the most efficient one for data related to light goods vehicles. Through this the aims and contributions of the study can be manifested. The evaluation was carried out on the basis of seven criteria with weights obtained using the TrIT2F PIPRECIA, while the final results were presented through the TrIT2F MARCOS method. To average part of the input data, the Dombi and Bonferroni operators have been applied. The final results of the applied TrIT2F PIPRECIA-TrIT2F MARCOS model show the following ranking of road segments, according to which Vrhovi–Šešlije M-I-103 with a gradient of −1.00 represents the best solution: A5 > A8 > A2 > A1 > A4 > A3 > A6 > A12 > A13 = A14 > A11 > A7 > A9 > A10. In addition, the validation of the obtained results was conducted by changing the values of the four most important criteria and changing the size of the decision matrix. Tests have shown great stability of the developed TrIT2F PIPRECIA-TrIT2F MARCOS model. Full article
(This article belongs to the Special Issue Dynamics under Uncertainty: Modeling Simulation and Complexity II)
Show Figures

Figure 1

29 pages, 390 KiB  
Article
Efficient Decision Making for Sustainable Energy Using Single-Valued Neutrosophic Prioritized Interactive Aggregation Operators
by Muhammad Riaz, Hafiz Muhammad Athar Farid, Jurgita Antucheviciene and Gülay Demir
Mathematics 2023, 11(9), 2186; https://doi.org/10.3390/math11092186 - 05 May 2023
Cited by 6 | Viewed by 1999
Abstract
To reduce greenhouse gas emissions, conserve the environment, and reduce dependency on fossil fuels, the transition from fossil energy to renewable energy is deemed essential. Several companies around the globe, especially big conglomerates, were pioneers in the use of renewable energy. For sustainable [...] Read more.
To reduce greenhouse gas emissions, conserve the environment, and reduce dependency on fossil fuels, the transition from fossil energy to renewable energy is deemed essential. Several companies around the globe, especially big conglomerates, were pioneers in the use of renewable energy. For sustainable growth, Pakistani businesses are growing increasingly interested in the use of green sources in manufacturing and economic activities. In recent years, there has been a growth in the number of companies that are eager to use renewable energies to produce products that correspond to green standards, therefore boosting their competitiveness. Yet, the selection of an appropriate energy source for any industrially complex project is not a simple task, as numerous qualitative and quantitative characteristics must be considered. To arrive at a feasible conclusion, this research provides a multi-criteria paradigm for sustainable energy selection in a single-valued neutrosophic environment. This work developed an innovative aggregation operators approach that interprets the input evaluation using single-valued neutrosophic numbers. For this, a “single-valued neutrosophic prioritized interactive weighted averaging operator and single-valued neutrosophic prioritized interactive weighted geometric operator” has been introduced. Several additional appealing features of these aggregation operators are also discussed. The application of the recommended operators for sustainable energy related to the industrial complex is discussed. A comparison analysis proves the empirical existence of the suggested methodology’s consistency and superiority. Full article
(This article belongs to the Special Issue Dynamics under Uncertainty: Modeling Simulation and Complexity II)
Show Figures

Figure 1

31 pages, 1442 KiB  
Article
Structure Preserving Uncertainty Modelling and Robustness Analysis for Spatially Distributed Dissipative Dynamical Systems
by Bruno Dogančić, Marko Jokić, Neven Alujević and Hinko Wolf
Mathematics 2022, 10(12), 2125; https://doi.org/10.3390/math10122125 - 18 Jun 2022
Cited by 1 | Viewed by 1405
Abstract
The paper deals with uncertainty modelling, robust stability and performance analysis of multi-input multi-output (MIMO) reduced order spatially distributed dissipative dynamical systems. While researching the topic of modern robust control of such systems, two key findings were discovered: (i) systematic modelling of the [...] Read more.
The paper deals with uncertainty modelling, robust stability and performance analysis of multi-input multi-output (MIMO) reduced order spatially distributed dissipative dynamical systems. While researching the topic of modern robust control of such systems, two key findings were discovered: (i) systematic modelling of the uncertainty and model order reduction (MOR) at the level of a subsystem gives both modelling freedom and the ability for obtaining less conservative uncertainties on the level of a subsystem; (ii) for a special class of interconnected dissipative dynamical systems, uncertainty conservatism at the subsystem level can be reduced—a novel, structure preserving algorithm employing subsystem partitioning and subsystem MOR by means of balanced truncation method (BTM) is used to obtain low-order robustly stable interconnected systems. Such systems are suitable for practical decentralized and distributed robust controller synthesis. Built upon a powerful framework of integral quadratic constraints (IQCs), this approach gives uncertainty modelling flexibility to perform robustness analysis of real world interconnected systems that are usually affected by multiple types of uncertainties at once. The proposed uncertainty modelling procedure and its practical application are presented on the numerical example. A spatially discretized vibration dynamical system comprised of a series of simply supported Euler beams mutually interconnected by springs and dampers is examined. Spatial discretization of the mathematical model is carried out using the finite element method (FEM). Full article
(This article belongs to the Special Issue Dynamics under Uncertainty: Modeling Simulation and Complexity II)
Show Figures

Figure 1

14 pages, 1221 KiB  
Article
Inventory Management of Perishable Goods with Overconfident Retailers
by Mingyang Zhang, Xufeng Yang, Taichiu Edwin Cheng and Chen Chang
Mathematics 2022, 10(10), 1716; https://doi.org/10.3390/math10101716 - 17 May 2022
Cited by 2 | Viewed by 2258
Abstract
In recent years, many retailers sell their products through not only offline but also online platforms. The sales of perishable goods on e-commerce platforms recorded phenomenal growth in 2020. However, some retailers are overconfident and order more products than the optimal ordering quantity, [...] Read more.
In recent years, many retailers sell their products through not only offline but also online platforms. The sales of perishable goods on e-commerce platforms recorded phenomenal growth in 2020. However, some retailers are overconfident and order more products than the optimal ordering quantity, resulting in great losses due to product decay. In this paper, we apply the newsvendor model to analyze the impacts of overconfident behavior on the retailer’s optimal pricing and order quantity decisions and profit. Our model provides the overconfident retailer with a feasible and effective method to adjust optimal ordering and pricing decisions. Through numerical studies, we examine the retailer’s optimal decisions under the scenarios of complete rationality, over-estimation, and over-precision. We find that the over-estimation retailer always orders more products than the optimal order quantity, and the over-precision retailer always orders fewer products than the optimal order quantity. Under some conditions, overconfidence hurts the retailer’s revenue to a large extent. Therefore, it is beneficial for the overconfident retailer to adjust its order quantity according to our research findings. Full article
(This article belongs to the Special Issue Dynamics under Uncertainty: Modeling Simulation and Complexity II)
Show Figures

Figure 1

25 pages, 1217 KiB  
Article
Power Muirhead Mean Operators for Interval-Valued Linear Diophantine Fuzzy Sets and Their Application in Decision-Making Strategies
by Tahir Mahmood, Izatmand Haleemzai, Zeeshan Ali, Dragan Pamucar and Dragan Marinkovic
Mathematics 2022, 10(1), 70; https://doi.org/10.3390/math10010070 - 26 Dec 2021
Cited by 15 | Viewed by 2037
Abstract
It is quite beneficial for every company to have a strong decision-making technique at their disposal. Experts and managers involved in decision-making strategies would particularly benefit from such a technique in order to have a crucial impact on the strategy of their company. [...] Read more.
It is quite beneficial for every company to have a strong decision-making technique at their disposal. Experts and managers involved in decision-making strategies would particularly benefit from such a technique in order to have a crucial impact on the strategy of their company. This paper considers the interval-valued linear Diophantine fuzzy (IV-LDF) sets and uses their algebraic laws. Furthermore, by using the Muirhead mean (MM) operator and IV-LDF data, the IV-LDF power MM (IV-LDFPMM) and the IV-LDF weighted power MM (IV-LDFWPMM) operators are developed, and some special properties and results demonstrated. The decision-making technique relies on objective data that can be observed. Based on the multi-attribute decision-making (MADM) technique, which is the beneficial part of the decision-making strategy, examples are given to illustrate the development. To demonstrate the advantages of the developed tools, a comparative analysis and geometrical interpretations are also provided. Full article
(This article belongs to the Special Issue Dynamics under Uncertainty: Modeling Simulation and Complexity II)
Show Figures

Figure 1

Back to TopTop