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Mathematics, Volume 10, Issue 12

June-2 2022 - 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
16 Citations
4,001 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....

  • Article
  • Open Access
4 Citations
2,588 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...

  • Article
  • Open Access
2 Citations
2,637 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...

  • Article
  • Open Access
2 Citations
1,807 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
2,024 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...

  • Article
  • Open Access
13 Citations
3,308 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...

  • Article
  • Open Access
18 Citations
3,354 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
20 Citations
3,110 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
2,051 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...

  • Feature Paper
  • Article
  • Open Access
15 Citations
3,395 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...

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Mathematics - ISSN 2227-7390