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Mathematics, Volume 11, Issue 2

January-2 2023 - 237 articles

Cover Story: In classical analysis, Arzel–Ascoli-type theorem characterizes compactness in function spaces. The aim of this manuscript is to investigate a fuzzy-type Arzel–Ascoli theorem. The authors introduce a weak fuzzy Arzel–Ascoli theorem and fuzzy Arzel–Ascoli theorem and provide several sufficient conditions for a function space to satisfy the (weak) fuzzy Arzel–Ascoli theorem. Using a counterexample, it is shown that the weak fuzzy Arzel–Ascoli theorem is not equivalent to the fuzzy Arzel–Ascoli theorem, and it is proved that the function space in question satisfies the (weak) fuzzy Arzel–Ascoli theorem if and only if X is pseudocompact. Some applications of these results are also given. Our results are expected to be applied in future research in fields such as fuzzy differential equations and optimization theory. View this paper
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Articles (237)

  • Article
  • Open Access
2 Citations
2,999 Views
16 Pages

16 January 2023

Credit risk scorecards are logistic regression models, fitted to large and complex data sets, employed by the financial industry to model the probability of default of potential customers. In order to ensure that a scorecard remains a representative...

  • Article
  • Open Access
1 Citations
1,683 Views
18 Pages

16 January 2023

We consider a nonlinear, nonlocal elliptic equation driven by the degenerate fractional p-Laplacian with a Dirichlet boundary condition and involving a parameter λ>0. The reaction is of general type, including concave–convex reactions...

  • Article
  • Open Access
3 Citations
1,862 Views
14 Pages

Robust State Estimation for T–S Fuzzy Markov Jump Systems

  • Zhenglei Zhang,
  • Jirong Wang,
  • Junwei Gao and
  • Huabo Liu

16 January 2023

The problem of robust state estimation for a class of uncertain nonlinear systems with Markov jump is investigated. The uncertain nonlinear system under consideration is represented by the Takagi–Sugeno (T–S) fuzzy model because it is dif...

  • Article
  • Open Access
2 Citations
2,056 Views
18 Pages

Prediction of Infectious Disease to Reduce the Computation Stress on Medical and Health Care Facilitators

  • Shalini Shekhawat,
  • Akash Saxena,
  • Ramadan A. Zeineldin and
  • Ali Wagdy Mohamed

16 January 2023

Prediction of the infectious disease is a potential research area from the decades. With the progress in medical science, early anticipation of the disease spread becomes more meaningful when the resources are limited. Also spread prediction with lim...

  • Article
  • Open Access
2,067 Views
15 Pages

A Collapse Strength Model for a 7” Crescent-Worn Casing Connection Considering Sealing Integrity

  • Xing Zhou,
  • Qinfeng Di,
  • Xiaoliang Wang,
  • Dakun Luo,
  • Feng Chen and
  • Wenchang Wang

16 January 2023

Collapse failure under external pressure is one of the common failure forms of casing. Much research has been performed on the casing body, but few on the threaded connection, in view of the general belief that the threaded connection has a thicker w...

  • Article
  • Open Access
13 Citations
2,319 Views
14 Pages

16 January 2023

In this paper, we consider the (3 + 1)-dimensional fractional-stochastic quantum Zakharov–Kuznetsov equation (FSQZKE) with M-truncated derivative. To find novel trigonometric, hyperbolic, elliptic, and rational fractional solutions, two techniq...

  • Article
  • Open Access
14 Citations
3,001 Views
20 Pages

Optimal Power Dispatch of PV Generators in AC Distribution Networks by Considering Solar, Environmental, and Power Demand Conditions from Colombia

  • Luis Fernando Grisales-Noreña,
  • Oscar Danilo Montoya,
  • Brandon Cortés-Caicedo,
  • Farhad Zishan and
  • Javier Rosero-García

16 January 2023

This paper deals with the problem regarding the optimal operation of photovoltaic (PV) generation sources in AC distribution networks with a single-phase structure, taking into consideration different objective functions. The problem is formulated as...

  • Article
  • Open Access
2,028 Views
22 Pages

16 January 2023

For non-uniform control polygons, a parameterized four-point interpolation curve ternary subdivision scheme is proposed, and its convergence and continuity are demonstrated. Following curve subdivision, a non-uniform interpolation surface ternary sub...

  • Article
  • Open Access
12 Citations
3,137 Views
24 Pages

16 January 2023

Ontology is the kernel technique of Semantic Web (SW), which enables the interaction and cooperation among different intelligent applications. However, with the rapid development of ontologies, their heterogeneity issue becomes more and more serious,...

  • Article
  • Open Access
5 Citations
2,229 Views
16 Pages

Numerical Study of Thermo-Electric Conversion for TEG Mounted Wavy Walled Triangular Vented Cavity Considering Nanofluid with Different-Shaped Nanoparticles

  • Fatih Selimefendigil,
  • Mohamed Omri,
  • Walid Aich,
  • Hatem Besbes,
  • Nidhal Ben Khedher,
  • Badr M. Alshammari and
  • Lioua Kolsi

16 January 2023

The effects of the combined utilization of wavy wall and different nanoparticle shapes in heat transfer fluid for a thermoelectric generator (TEG) mounted vented cavity are numerically analyzed. A triangular wave form of the cavity is used, while sph...

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Mathematics - ISSN 2227-7390Creative Common CC BY license