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Axioms, Volume 11, Issue 6

June 2022 - 56 articles

Cover Story: The GIS-MCDM technique is an integration of the geographic information system and multi-criteria decision making that is used to determine and rank the new potential bike station locations for both planning a new bike-sharing system (BSS) and expanding one currently under operation. The proposed framework was applied to GIRA BSS in Lisbon, Portugal, considering fourteen criteria that can cause a system to become unbalanced. Results show that the main criterion of “city infrastructure” with the two sub-criteria of “population density” and “slope” was the most important. Based on the suitability map, forty-five new bike stations were proposed and ranked. However, the proposed method using the concept of “Dynamic virtual stations” improved the unbalancing situation with extension capacity and covered the area with no response to demand. View this paper
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Articles (56)

  • Article
  • Open Access
16 Citations
4,576 Views
66 Pages

A New Survey of Measures of Noncompactness and Their Applications

  • Moosa Gabeleh,
  • Eberhard Malkowsky,
  • Mohammad Mursaleen and
  • Vladimir Rakočević

20 June 2022

We present a survey of the theory of measures of noncompactness and discuss some fixed point theorems of Darbo’s type. We apply the technique of measures of noncompactness to the characterization of classes of compact operators between certain...

  • Article
  • Open Access
11 Citations
2,322 Views
14 Pages

20 June 2022

A two species obligate commensal symbiosis model with Crowley–Martin functional response was proposed and studied in this paper. For an autonomous case, local and global dynamic behaviors of the system were investigated, respectively. The condi...

  • Article
  • Open Access
2 Citations
2,421 Views
10 Pages

Context-Free Grammars for Several Triangular Arrays

  • Roberta Rui Zhou,
  • Jean Yeh and
  • Fuquan Ren

20 June 2022

In this paper, we present a unified grammatical interpretation of the numbers that satisfy a kind of four-term recurrence relation, including the Bell triangle, the coefficients of modified Hermite polynomials, and the Bessel polynomials. Additionall...

  • Article
  • Open Access
44 Citations
5,155 Views
19 Pages

Public Opinion Spread and Guidance Strategy under COVID-19: A SIS Model Analysis

  • Ge You,
  • Shangqian Gan,
  • Hao Guo and
  • Abd Alwahed Dagestani

17 June 2022

Both the suddenness and seriousness of COVID-19 have caused a variety of public opinions on social media, which becomes the focus of social attention. This paper aims to analyze the strategies regarding the prevention and guidance of public opinion s...

  • Article
  • Open Access
2,117 Views
12 Pages

16 June 2022

We study a class of nonlinear implicit fractional differential equations subject to nonlocal boundary conditions expressed in terms of nonlinear integro-differential equations. Using the Krasnosel’skii fixed-point theorem we prove, via the Kolm...

  • Article
  • Open Access
2,710 Views
21 Pages

16 June 2022

A new method for solving differential equations is presented in this work. The solution of the differential equations is done by adapting an artificial neural network, RBF, to the function under study. The adaptation of the parameters of the network...

  • Article
  • Open Access
8 Citations
3,951 Views
9 Pages

Parameter Estimation of the Exponentiated Pareto Distribution Using Ranked Set Sampling and Simple Random Sampling

  • Hossein Jabbari Khamnei,
  • Ieva Meidute-Kavaliauskiene,
  • Masood Fathi,
  • Asta Valackienė and
  • Shahryar Ghorbani

15 June 2022

In this paper, we have considered that ranked set sampling is able to estimate the parameters of exponentiated Pareto distribution. The method with which the maximum likelihood estimators for the parameters of exponentiated Pareto distribution is stu...

  • Article
  • Open Access
9 Citations
2,952 Views
22 Pages

15 June 2022

Various factors make stock market forecasting difficult and arduous. Single-task learning models fail to achieve good results because they ignore the correlation between multiple related tasks. Multitask learning methods can capture the cross-correla...

  • Article
  • Open Access
2 Citations
2,544 Views
15 Pages

14 June 2022

This paper considers how to construct and describe matrix equalities that are composed of algebraic operations of matrices and their generalized inverses. We select a group of known and new reverse-order laws for generalized inverses of several matri...

  • Article
  • Open Access
12 Citations
2,706 Views
9 Pages

Some Cardinal and Geometric Properties of the Space of Permutation Degree

  • Ljubiša D. R. Kočinac,
  • Farkhod G. Mukhamadiev and
  • Anvar K. Sadullaev

14 June 2022

This paper is devoted to the investigation of cardinal invariants such as the hereditary density, hereditary weak density, and hereditary Lindelöf number. The relation between the spread and the extent of the space SP2(R,τ(A)) of permutation...

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Axioms - ISSN 2075-1680