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Mathematical and Computational Applications, Volume 23, Issue 3

September 2018 - 20 articles

Cover Story: The (p,q)-averaged Hausdorff distance Δp,q is a new indicator proposed for the performance assessment of Evolutionary Multi-objective (EMO) algorithms; it carries some desired metric properties, and its definition allows for the consideration of continuous approximations to Pareto sets. The figure illustrates a table of Δp,q-metric balls around a discretized short segment with a negative slope for different values of p and q. View this paper.
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Articles (20)

  • Feature Paper
  • Article
  • Open Access
21 Citations
5,601 Views
24 Pages

A (p,q)-Averaged Hausdorff Distance for Arbitrary Measurable Sets

  • Johan M. Bogoya,
  • Andrés Vargas,
  • Oliver Cuate and
  • Oliver Schütze

18 September 2018

The Hausdorff distance is a widely used tool to measure the distance between different sets. For the approximation of certain objects via stochastic search algorithms this distance is, however, of limited use as it punishes single outliers. As a reme...

  • Communication
  • Open Access
1 Citations
3,774 Views
7 Pages

Left Ventricular Volume in Bovines: The Correlation between Teichholz’s Medical Mathematical Method and the Volume of the Truncated Prolate Spheroid

  • José Sérgio Domingues,
  • Ravel Alvarenga Coelho,
  • Francielly Dos Santos Bento,
  • Brenda Cristina Almeida and
  • Ayanne Oliveira De Castro

11 September 2018

The main objective of this article is to determine the existing linear correlation between the real left ventricular volume (RV) from the heart of bovines and the volumes obtained by Teichholz’s mathematical model and the volume of the truncate...

  • Feature Paper
  • Article
  • Open Access
3,301 Views
17 Pages

First Order Hadamard Variation of the Harmonic Navigation Function on a Sphere World

  • Isabelle Santos,
  • Stéphane Puechmorel and
  • Guillaume Dufour

10 September 2018

Planning conflict-free trajectories is a long-standing problem in Air Traffic Management. Navigation functions designed specifically to produce flyable trajectories have been previously considered, but lack the robustness to uncertain weather conditi...

  • Article
  • Open Access
2 Citations
2,996 Views
21 Pages

TL-Moments for Type-I Censored Data with an Application to the Weibull Distribution

  • Hager A. Ibrahim,
  • Mahmoud Riad Mahmoud,
  • Fatma A. Khalil and
  • Ghada A. El-Kelany

This paper aims to provide an adaptation of the trimmed L (TL)-moments method to censored data. The present study concentrates on Type-I censored data. The idea of using TL-moments with censored data may seem conflicting. However, our perspective is...

  • Feature Paper
  • Article
  • Open Access
1 Citations
3,127 Views
13 Pages

An Authentication Code over Galois Rings with Optimal Impersonation and Substitution Probabilities

  • Juan Carlos Ku-Cauich,
  • Guillermo Morales-Luna and
  • Horacio Tapia-Recillas

Two new systematic authentication codes based on the Gray map over a Galois ring are introduced. The first introduced code attains optimal impersonation and substitution probabilities. The second code improves space sizes, but it does not attain opti...

  • Feature Paper
  • Article
  • Open Access
4 Citations
3,275 Views
30 Pages

Optimal Strategies for Psoriasis Treatment

  • Ellina Grigorieva and
  • Evgenii Khailov

Within a given time interval we consider a nonlinear system of differential equations describing psoriasis treatment. Its phase variables define the concentrations of T-lymphocytes, keratinocytes and dendritic cells. Two scalar bounded controls are i...

  • Article
  • Open Access
8 Citations
3,765 Views
14 Pages

A new complex variable method is presented for stress and displacement problems in a non-circular deep tunnel with certain given boundary conditions at infinity. In order to overcome the complex problems caused by non-circular geometric configuration...

  • Article
  • Open Access
54 Citations
6,088 Views
28 Pages

Specific Types of Pythagorean Fuzzy Graphs and Application to Decision-Making

  • Muhammad Akram,
  • Amna Habib,
  • Farwa Ilyas and
  • Jawaria Mohsan Dar

The purpose of this research study is to present some new operations, including rejection, symmetric difference, residue product, and maximal product of Pythagorean fuzzy graphs (PFGs), and to explore some of their properties. This research article i...

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Math. Comput. Appl. - ISSN 2297-8747