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Axioms, Volume 10, Issue 1

March 2021 - 41 articles

Cover Story: Empirical traffic data collected from three locations in Europe and the USA are used to reveal a three-phase fundamental diagram for vehicular traffic flow. Model-based clustering, hypothesis testing, and regression analyses are applied to the speed-flow-occupancy data represented in the three-dimensional space to rigorously validate the three phases and identify their gaps. The findings are consistent across the different geographical locations. Accordingly, a three-phase macroscopic traffic flow model is proposed, and a characterization of solutions to the Riemann problems is shown. This work identifies critical structures in the fundamental diagram that are typically ignored in first- and higher-order models, and which could significantly impact travel time estimation on highways. View this paper
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Articles (41)

  • Article
  • Open Access
3 Citations
2,468 Views
14 Pages

Existence of Coupled Best Proximity Points of p-Cyclic Contractions

  • Miroslav Hristov,
  • Atanas Ilchev,
  • Diana Nedelcheva and
  • Boyan Zlatanov

22 March 2021

We generalize the notion of coupled fixed (or best proximity) points for cyclic ordered pairs of maps to p-cyclic ordered pairs of maps. We find sufficient conditions for the existence and uniqueness of the coupled fixed (or best proximity) points. W...

  • Article
  • Open Access
12 Citations
2,112 Views
14 Pages

22 March 2021

In this paper, we consider systems of singularly perturbed integro-differential equations with a rapidly oscillating right-hand side, including an integral operator with a slowly varying kernel. Differential equations of this type and integro-differe...

  • Article
  • Open Access
11 Citations
2,758 Views
18 Pages

Gradation of Fuzzy Preconcept Lattices

  • Alexander Šostak,
  • Ingrīda Uļjane and
  • Māris Krastiņš

22 March 2021

Noticing certain limitations of concept lattices in the fuzzy context, especially in view of their practical applications, in this paper, we propose a more general approach based on what we call graded fuzzy preconcept lattices. We believe that this...

  • Article
  • Open Access
1 Citations
2,396 Views
7 Pages

20 March 2021

In this paper, it is proved that every diffeomorphism possessing the filtrated pseudo-orbit shadowing property admits an approximately shadowable Lebesgue measure. Furthermore, the C1-interior of the set of diffeomorphisms possessing the filtrated ps...

  • Article
  • Open Access
2 Citations
4,994 Views
25 Pages

A Compensatory Fuzzy Logic Model in Technical Trading

  • Norma P. Rodríguez-Cándido,
  • Rafael A. Espin-Andrade,
  • Efrain Solares and
  • Witold Pedrycz

18 March 2021

This work presents a novel approach to prediction of financial asset prices. Its main contribution is the combination of compensatory fuzzy logic and the classical technical analysis to build an efficient prediction model. The interpretability proper...

  • Article
  • Open Access
11 Citations
4,719 Views
9 Pages

18 March 2021

In the paper, by virtue of the Faà di Bruno formula, with the aid of some properties of the Bell polynomials of the second kind, and by means of a general formula for derivatives of the ratio between two differentiable functions, the authors establis...

  • Article
  • Open Access
8 Citations
2,915 Views
15 Pages

The Role of Spectral Complexity in Connectivity Estimation

  • Elisabetta Vallarino,
  • Alberto Sorrentino,
  • Michele Piana and
  • Sara Sommariva

16 March 2021

The study of functional connectivity from magnetoecenphalographic (MEG) data consists of quantifying the statistical dependencies among time series describing the activity of different neural sources from the magnetic field recorded outside the scalp...

  • Article
  • Open Access
71 Citations
13,832 Views
22 Pages

14 March 2021

On the heels of the online shopping boom during the Covid-19 pandemic, the electronic commerce (e-commerce) surge has many businesses facing an influx in product returns. Thus, relevant companies must implement robust reverse logistics strategies to...

  • Feature Paper
  • Article
  • Open Access
8 Citations
4,729 Views
21 Pages

12 March 2021

Cell migration in highly constrained environments is fundamental in a wide variety of physiological and pathological phenomena. In particular, it has been experimentally shown that the migratory capacity of most cell lines depends on their ability to...

  • Article
  • Open Access
4 Citations
5,949 Views
23 Pages

12 March 2021

In recent decades, Vietnamese labeling and packaging has been widely recognized as being one of the fastest developing industries in Vietnam, supported by the tremendous demand of domestic production and the exportation of its packaged goods. The eme...

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Axioms - ISSN 2075-1680