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Mathematics, Volume 10, Issue 12

2022 June-2 - 200 articles

Cover Story: The theory of finitely supported structures is used to manage very large sets with a certain degree of symmetry. This framework generalizes the classical set theory of Zermelo–Fraenkel by infinitely allowing many basic elements with no internal structure (atoms) and by equipping classical sets with group actions of the permutation group over these basic elements. On the other hand, soft sets represent a generalization of the fuzzy sets and deal with uncertainty in a parametric manner. In this paper, we study the soft sets in the new framework of finitely supported structures, and their associations with any crisp set family of atoms describing them. We prove some finiteness properties for infinite soft sets and some order properties and present Tarski-like fixed-point results for mappings between soft sets with atoms. View this paper
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Articles (200)

  • Article
  • Open Access
20 Citations
4,569 Views
27 Pages

20 June 2022

The arithmetic optimization algorithm is a recently proposed metaheuristic algorithm. In this paper, an improved arithmetic optimization algorithm (IAOA) based on the population control strategy is introduced to solve numerical optimization problems....

(This article belongs to the Special Issue Optimization Algorithms: Theory and Applications)
  • Article
  • Open Access
5 Citations
2,923 Views
14 Pages

Transmission Line Object Detection Method Based on Label Adaptive Allocation

  • Lijuan Zhao,
  • Chang’an Liu,
  • Zheng Zhang and
  • Hongquan Qu

20 June 2022

Inspection of the integrality of components and connecting parts is an important task to maintain safe and stable operation of transmission lines. In view of the fact that the scale difference of the auxiliary component in a connecting part is large...

(This article belongs to the Special Issue Advances in Artificial Intelligence: Data, Methods and Interdisciplinary Applications)
  • Article
  • Open Access
2 Citations
3,122 Views
11 Pages

WAVECNV: A New Approach for Detecting Copy Number Variation by Wavelet Clustering

  • Yang Guo,
  • Shuzhen Wang,
  • A. K. Alvi Haque and
  • Xiguo Yuan

20 June 2022

Copy number variation (CNV) detection based on second-generation sequencing technology is the basis of much gene research, but the read depth is affected by mapping errors, repeated reads, and GC bias. The existing methods have low sensitivity to var...

(This article belongs to the Special Issue Mathematical Modelling in Biology)
  • Article
  • Open Access
2 Citations
2,143 Views
14 Pages

20 June 2022

This paper developed a quantitative evaluation necessary to ensure ground stability, so a quantitative indicator (bearing capacity). A homogeneous axisymmetric model was generated, considering China’s stress field and the Karst topography chara...

  • Article
  • Open Access
1 Citations
2,425 Views
15 Pages

20 June 2022

This paper is concerned with the global prescribed-time stabilization problem for a class of uncertain high-order nonlinear systems (HONSs) with an asymmetric actuator dead-zone. Firstly, a new state-scaling transformation (SST) is developed for high...

(This article belongs to the Special Issue Analysis and Control of Dynamical Systems)
  • Article
  • Open Access
18 Citations
3,795 Views
30 Pages

Short- and Medium-Term Power Demand Forecasting with Multiple Factors Based on Multi-Model Fusion

  • Qingqing Ji,
  • Shiyu Zhang,
  • Qiao Duan,
  • Yuhan Gong,
  • Yaowei Li,
  • Xintong Xie,
  • Jikang Bai,
  • Chunli Huang and
  • Xu Zhao

20 June 2022

With the continuous development of economy and society, power demand forecasting has become an important task of the power industry. Accurate power demand forecasting can promote the operation and development of the power supply industry. However, si...

(This article belongs to the Special Issue Computational Statistics and Data Analysis)
  • Article
  • Open Access
19 Citations
3,672 Views
14 Pages

20 June 2022

Nowadays, much of the world has a regional air pollution strategy to limit and decrease the pollution levels across governmental borders and control their impact on human health and ecological systems. Environmental protection is among the leading pr...

  • Article
  • Open Access
26 Citations
3,633 Views
18 Pages

20 June 2022

(1) Background: Hot social events contain a large amount of public opinion information, and a more detailed analysis of this information will help the relevant parts to formulate more targeted supervision strategies at different stages and for the pu...

  • Article
  • Open Access
2 Citations
2,430 Views
9 Pages

20 June 2022

Continuing investigations initiated by the first author, we associate relational structures for metric spaces and investigate their model theoretic properties. In this paper, we consider ultrametric spaces. Among others, we show that any elementary s...

(This article belongs to the Section A: Algebra and Logic)
  • Feature Paper
  • Article
  • Open Access
19 Citations
4,031 Views
24 Pages

Applying the Random Forest Method to Improve Burner Efficiency

  • Vladislav Kovalnogov,
  • Ruslan Fedorov,
  • Vladimir Klyachkin,
  • Dmitry Generalov,
  • Yulia Kuvayskova and
  • Sergey Busygin

20 June 2022

Fuel power plants are one of the main sources of pollutant emissions, so special attention should be paid to improving the efficiency of the fuel combustion process. The mathematical modeling of processes in the combustion chamber makes it possible t...

(This article belongs to the Special Issue Advanced Numerical Analysis and Scientific Computing)
  • Article
  • Open Access
25 Citations
4,354 Views
23 Pages

20 June 2022

In the era of big data, investor sentiment will have an impact on personal decision making and asset pricing in the securities market. This paper uses the Easteconomy stock forum and Sina stock forum as the carrier of investor sentiment to measure th...

(This article belongs to the Special Issue Mathematical Financial Econometrics: Non-normal Distributions and Risk Forecasting)
  • Article
  • Open Access
21 Citations
3,622 Views
17 Pages

Federated Learning-Inspired Technique for Attack Classification in IoT Networks

  • Tariq Ahamed Ahanger,
  • Abdulaziz Aldaej,
  • Mohammed Atiquzzaman,
  • Imdad Ullah and
  • Muhammad Yousufudin

20 June 2022

More than 10-billion physical items are being linked to the internet to conduct activities more independently and with less human involvement owing to the Internet of Things (IoT) technology. IoT networks are considered a source of identifiable data...

(This article belongs to the Special Issue Mathematical Methods for Computer Science)
  • Article
  • Open Access
7 Citations
1,943 Views
16 Pages

20 June 2022

This article considers a parallel monotone hybrid algorithm for a finite family of G-nonexpansive mapping in Hilbert spaces endowed with graphs and suggests iterative schemes for finding a common fixed point by the two different hybrid projection met...

(This article belongs to the Section E1: Mathematics and Computer Science)
  • Article
  • Open Access
1,973 Views
20 Pages

20 June 2022

Recently, bistable viral infection systems have attracted increased attention. In this paper, we study bistability and robustness for virus infection models with nonmonotonic immune responses in viral infection systems. The results show that the exis...

  • Article
  • Open Access
22 Citations
2,816 Views
11 Pages

Linear Diophantine Fuzzy Set Theory Applied to BCK/BCI-Algebras

  • Ghulam Muhiuddin,
  • Madeline Al-Tahan,
  • Ahsan Mahboob,
  • Sarka Hoskova-Mayerova and
  • Saba Al-Kaseasbeh

19 June 2022

In this paper, we apply the concept of linear Diophantine fuzzy sets in BCK/BCI-algebras. In this respect, the notions of linear Diophantine fuzzy subalgebras and linear Diophantine fuzzy (commutative) ideals are introduced and some vital properties...

(This article belongs to the Special Issue Fuzzy and Extension of Fuzzy Theories)
  • Article
  • Open Access
8 Citations
5,935 Views
25 Pages

19 June 2022

Information retrieval aims to retrieve the documents that answer users’ queries. A typical search process consists of different phases for which a variety of components have been defined in the literature; each one having a set of hyper-parameters to...

(This article belongs to the Special Issue Natural Language Processing (NLP) and Machine Learning (ML)—Theory and Applications)
  • Article
  • Open Access
9 Citations
2,625 Views
18 Pages

19 June 2022

This paper explores statistical inferences when the lifetime of product follows the inverse Nakagami distribution using progressive Type-II censored data. Likelihood-based and maximum product of spacing (MPS)-based methods are considered for estimati...

(This article belongs to the Special Issue Recent Advances of Computational Statistics in Industry and Business II)
  • Article
  • Open Access
26 Citations
4,733 Views
23 Pages

Regional Location Routing Problem for Waste Collection Using Hybrid Genetic Algorithm-Simulated Annealing

  • Vincent F. Yu,
  • Grace Aloina,
  • Hadi Susanto,
  • Mohammad Khoirul Effendi and
  • Shih-Wei Lin

19 June 2022

Municipal waste management has become a challenging issue with the rise in urban populations and changes in people’s habits, particularly in developing countries. Moreover, government policy plays an important role associated with municipal was...

(This article belongs to the Section E2: Control Theory and Mechanics)
  • Article
  • Open Access
8 Citations
2,854 Views
13 Pages

19 June 2022

Mathematical models, some of which incorporate both intracellular and extracellular hepatitis C viral kinetics, have been advanced in recent years for studying HCV–host dynamics, antivirals mode of action, and their efficacy. The standard ordin...

(This article belongs to the Special Issue Selected Papers from the International Conference of Numerical Analysis and Applied Mathematics (ICNAAM))
  • Article
  • Open Access
9 Citations
4,680 Views
12 Pages

19 June 2022

Convolutional networks are commonly used in various machine learning tasks, and they are more and more popularly used in the embedded domain with devices such as smart cameras and mobile phones. The operation of convolution can be substituted by poin...

(This article belongs to the Special Issue Neural Networks and Learning Systems II)
  • Article
  • Open Access
31 Citations
3,490 Views
39 Pages

Single- and Multi-Objective Modified Aquila Optimizer for Optimal Multiple Renewable Energy Resources in Distribution Network

  • Mohammed Hamouda Ali,
  • Ahmed Tijani Salawudeen,
  • Salah Kamel,
  • Habeeb Bello Salau,
  • Monier Habil and
  • Mokhtar Shouran

19 June 2022

Nowadays, the electrical power system has become a more complex, interconnected network that is expanding every day. Hence, the power system faces many problems such as increasing power losses, voltage deviation, line overloads, etc. The optimization...

  • Article
  • Open Access
5 Citations
2,198 Views
8 Pages

19 June 2022

The Cauchy problem for a nonlinear system of differential equations with a Stieltjes integral (loads) of the desired solution is considered. The equation contains bifurcation parameters where the system has a trivial solution for any values. The nece...

  • Article
  • Open Access
9 Citations
2,530 Views
26 Pages

19 June 2022

The selection of an urban rail transit system from the perspective of green and low carbon can not only promote the construction of an urban rail transit system but also have a positive impact on urban green development. Considering the uncertainty c...

(This article belongs to the Special Issue Advances in Fuzzy Decision Theory and Applications)
  • Article
  • Open Access
13 Citations
2,855 Views
26 Pages

A Stochastic Optimization Algorithm to Enhance Controllers of Photovoltaic Systems

  • Samia Charfeddine,
  • Hadeel Alharbi,
  • Houssem Jerbi,
  • Mourad Kchaou,
  • Rabeh Abbassi and
  • Víctor Leiva

19 June 2022

Increasing energy needs, pollution of nature, and eventual depletion of resources have prompted humanity to obtain new technologies and produce energy using clean sources and renewables. In this paper, we design an advanced method to improve the perf...

(This article belongs to the Section E: Applied Mathematics)
  • Article
  • Open Access
45 Citations
2,687 Views
14 Pages

19 June 2022

This paper considers the problem associated with the numerical simulation of the interaction between the cocurrent stream occurring near a monoblock moving in the gas medium and solid fuel combustion products flowing from a solid fuel rocket engine (...

(This article belongs to the Special Issue Advanced Numerical and Computational Methods for Engineering and Applied Mathematical Problems)
  • Article
  • Open Access
8 Citations
2,921 Views
17 Pages

18 June 2022

In the single pruning algorithm, channel pruning or filter pruning is used to compress the deep convolution neural network, and there are still many redundant parameters in the compressed model. Directly pruning the filter will largely cause the loss...

(This article belongs to the Special Issue Evolutionary Computation for Deep Learning and Machine Learning)
  • Article
  • Open Access
19 Citations
5,264 Views
17 Pages

18 June 2022

As a result of the spread of the coronavirus (COVID-19), thousands of small companies around the world have been severely disrupted. Many business professionals, particularly entrepreneurs, suffer from the unprecedented magnitude of the lockdown of s...

(This article belongs to the Special Issue From COVID-19 to Resilience: Quantitative Methods in Economics and Business)
  • Article
  • Open Access
2 Citations
3,097 Views
31 Pages

18 June 2022

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 s...

(This article belongs to the Special Issue Dynamics under Uncertainty: Modeling Simulation and Complexity II)
  • Article
  • Open Access
3 Citations
3,469 Views
24 Pages

Matrix Power Function Based Block Cipher Operating in CBC Mode

  • Lina Dindiene,
  • Aleksejus Mihalkovich,
  • Kestutis Luksys and
  • Eligijus Sakalauskas

18 June 2022

In our previous study, we proposed a perfectly secure Shannon cipher based on the so-called matrix power function. There we also introduced a concept of single round symmetric encryption, i.e., we used the matrix power function together with some rat...

(This article belongs to the Special Issue Advances in Algebraic Coding Theory and Cryptography)
  • Article
  • Open Access
2 Citations
3,483 Views
11 Pages

18 June 2022

This paper compares the empirical performance of the realized volatility estimators on an extensive high-frequency dataset of stock indices from four developed European markets with thick trading and intensive intraday activity. Even though the propo...

(This article belongs to the Special Issue Advanced Methods in the Mathematical Modeling of Financial Markets)
  • Article
  • Open Access
8 Citations
2,664 Views
19 Pages

18 June 2022

The solution of a complex-valued matrix pseudoinverse is one of the key steps in various science and engineering fields. Owing to its important roles, researchers had put forward many related algorithms. With the development of research, a time-varyi...

  • Article
  • Open Access
2 Citations
2,498 Views
31 Pages

17 June 2022

The Alekseev-type annular membranes here refer to annular membranes fixed at outer edges and connected with a movable, weightless, stiff, con-centric, circular thin plate at inner edges, which were proposed originally by Alekseev for bearing centrall...

(This article belongs to the Special Issue Mathematics and Its Applications in Science and Engineering)
  • Article
  • Open Access
14 Citations
3,300 Views
19 Pages

17 June 2022

The rapid development of the Internet of Things (IoT), big data and artificial intelligence (AI) technology has brought extensive IoT services to entities. However, most IoT services carry the risk of leaking privacy. Privacy-preserving set intersect...

(This article belongs to the Special Issue Computational and Mathematical Methods in Information Science and Engineering)
  • Article
  • Open Access
12 Citations
3,146 Views
21 Pages

17 June 2022

(1) Background: With the development of blockchain technology and fierce competition between tourism platforms, tourism platforms can adopt blockchain technology to disclose product information to enhance their core competitiveness. As for a tourism...

(This article belongs to the Special Issue Supply Chain Management and Mathematical Logistics)
  • Article
  • Open Access
25 Citations
2,931 Views
16 Pages

Coarse Graining on Financial Correlation Networks

  • Mehmet Ali Balcı,
  • Larissa M. Batrancea,
  • Ömer Akgüller and
  • Anca Nichita

17 June 2022

Community structure detection is an important and valuable task in financial network studies as it forms the basis of many statistical applications such as prediction, risk analysis, and recommendation. Financial networks have a natural multi-grained...

(This article belongs to the Special Issue Mathematics and Economic Modeling)
  • Article
  • Open Access
13 Citations
2,707 Views
34 Pages

17 June 2022

Dynamic multi-objective optimization problems (DMOPs) have been of interest to many researchers. These are problems in which the environment changes during the evolutionary process, such as the Pareto-optimal set (POS) or the Pareto-optimal front (PO...

(This article belongs to the Special Issue Biologically Inspired Computing)
  • Article
  • Open Access
20 Citations
4,152 Views
19 Pages

17 June 2022

This paper estimates the comovement between two leading cryptocurrencies and the G7 stock markets. It then attempts to explain the comovement with the rational investment theory by examining whether it is driven by market uncertainty measures, public...

  • Article
  • Open Access
9 Citations
2,009 Views
19 Pages

17 June 2022

In this paper a numerical investigation on the double diffusive natural convection in a finned solar still is performed using the finite volume method. The 3D vector potential-vorticity formalism is used to eliminate the gradient pressure terms and d...

(This article belongs to the Special Issue Advances in Computational Fluid Dynamics)
  • Article
  • Open Access
1 Citations
2,552 Views
13 Pages

On De la Peña Type Inequalities for Point Processes

  • Naiqi Liu,
  • Vladimir V. Ulyanov and
  • Hanchao Wang

17 June 2022

There has been a renewed interest in exponential concentration inequalities for stochastic processes in probability and statistics over the last three decades. De la Peña established a nice exponential inequality for a discrete time locally sq...

(This article belongs to the Special Issue Limit Theorems of Probability Theory)
  • Article
  • Open Access
1 Citations
2,306 Views
14 Pages

17 June 2022

This paper addresses an analytic solution of the particles in a charged dilaton black hole based on the two-timing scale method from the perspective of dynamics. The constructed solution is surprisingly consistent with the “exact solution&rdquo...

(This article belongs to the Section E4: Mathematical Physics)
  • Article
  • Open Access
1 Citations
2,122 Views
15 Pages

Autocorrelation Ratio as a Measure of Inertia for the Classification of Extreme Events

  • Alfonso Gutierrez-Lopez,
  • Carlos Chávez and
  • Carlos Díaz-Delgado

17 June 2022

One of the problems in modern hydrology concerns the estimation of design events at sites with scarce or null data. This is a challenge for developing countries because they do not have monitoring networks as extensive and reliable as in developed na...

(This article belongs to the Section E2: Control Theory and Mechanics)
  • Article
  • Open Access
3 Citations
2,622 Views
25 Pages

Using Fuzzy Comprehensive Evaluation to Assess the Competency of Full-Time Water Conservancy Emergency Rescue Teams

  • Chuanhao Fan,
  • Yan Chen,
  • Yan Zhu,
  • Long Zhang,
  • Wenjuan Wu,
  • Bin Ling and
  • Sijie Tang

17 June 2022

Drought and flood disasters are common events threatening the safety of human lives, and full-time water conservancy emergency rescue teams play an important role in fighting against these disasters. In this paper, a competency assessment indicator s...

(This article belongs to the Section E5: Financial Mathematics)
  • Article
  • Open Access
3 Citations
1,992 Views
18 Pages

A New Bilinear Supervised Neighborhood Discrete Discriminant Hashing

  • Xueyu Chen,
  • Minghua Wan,
  • Hao Zheng,
  • Chao Xu,
  • Chengli Sun and
  • Zizhu Fan

17 June 2022

Feature extraction is an important part of perceptual hashing. How to compress the robust features of images into hash codes has become a hot research topic. Converting a two-dimensional image into a one-dimensional descriptor requires a higher compu...

(This article belongs to the Special Issue Soft Computing and Uncertainty Learning with Applications)
  • Article
  • Open Access
23 Citations
2,395 Views
26 Pages

17 June 2022

In this paper, we introduce new class of Bell-based Apostol-type Frobenius–Euler polynomials and investigate some properties of these polynomials. We derive some explicit and implicit summation formulas and their symmetric identities by using d...

(This article belongs to the Special Issue Advances on Complex Analysis)
  • Article
  • Open Access
8 Citations
7,632 Views
17 Pages

17 June 2022

In today’s diversified development model, the combination of modeling and business decision development is particularly important. The advanced theoretical business model established by modeling enables more efficient and accurate financial ana...

(This article belongs to the Special Issue New Advances in Economic Analysis and Statistics Modeling with Applications to Social Sciences)
  • Article
  • Open Access
2 Citations
2,327 Views
23 Pages

17 June 2022

In this paper, we investigate Cesàro means for the weighted orthogonal polynomial expansions on spheres with weights being invariant under a general finite reflection group on Rd. Our theorems extend previous results only for specific reflecti...

(This article belongs to the Special Issue Analytical and Computational Methods in Differential Equations, Special Functions, Transmutations and Integral Transforms)
  • Article
  • Open Access
26 Citations
2,823 Views
22 Pages

17 June 2022

The optimal operation of modern power systems aims at achieving the increased power demand requirements regarding economic and technical aspects. Another concern is preserving the emissions within the environmental limitations. In this regard, this p...

(This article belongs to the Topic Power System Modeling and Control)
  • Article
  • Open Access
2 Citations
1,980 Views
17 Pages

Dynamic Response of the Inertial Platform of the Laser ELI-NP Magurele-Bucharest Facility

  • Calin Itu,
  • Polidor Bratu,
  • Nicusor Dragan,
  • Adrian Goanță,
  • George Lucian Nicolae,
  • Marilena Cristina Nițu,
  • Paul Nicolae Borza and
  • Sorin Vlase

17 June 2022

Previous studies on the vibrational behavior of the inertial platform installed at ELI-NP, in Magurele-Bucharest have reported eigenfrequencies in the domain in which excitations can occur from earthquakes which manifests itself periodically in this...

  • Article
  • Open Access
6 Citations
5,105 Views
12 Pages

17 June 2022

We theoretically investigate a two-level atom driven by a time-dependent external field with a generalized double exponential temporal shape, in the presence of dephasing. Therefore, we provide exact analytical solutions for the population inversion,...

(This article belongs to the Special Issue Advances in Quantum Optics and Quantum Information)
  • Article
  • Open Access
1 Citations
3,633 Views
17 Pages

17 June 2022

The natural variation of the data signatures of airborne aerosols from calibrated cigarette particles were quantified using enhanced Bonferroni methods. The significance of the problem of improving analytical methods for understanding the natural var...

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Mathematics - ISSN 2227-7390