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Mathematics, Volume 8, Issue 2

2020 February - 156 articles

Cover Story: Stochastic models for oscillatory phenomena can be obtained from deterministic ones, e.g., the oscillabolastic model. Following modified ODEs, diffusion processes for oscillabolastic growth are considered. Parameter estimation requires numerical methods, and strategies for initial solutions are proposed, taking advantage of some properties. View this paper.
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Articles (156)

  • Article
  • Open Access
14 Citations
3,309 Views
14 Pages

24 February 2020

With improved measurement and modelling technology, variability has emerged as an essential feature in non-equilibrium processes. While traditionally, mean values and variance have been heavily used, they are not appropriate in describing extreme eve...

(This article belongs to the Special Issue Turbulence Modeling)
  • Article
  • Open Access
20 Citations
3,603 Views
22 Pages

24 February 2020

The identification of partially observed continuous nonlinear systems from noisy and incomplete data series is an actual problem in many branches of science, for example, biology, chemistry, physics, and others. Two stages are needed to reconstruct a...

(This article belongs to the Section C2: Dynamical Systems)
  • Article
  • Open Access
7 Citations
2,844 Views
14 Pages

24 February 2020

The capacity is a powerful tool with exponential coefficients to represent the interaction phenomenon among decision criteria, but its random generation becomes a tough issue for dealing with the monotonicity with all inclusion subsets as well as the...

(This article belongs to the Section E1: Mathematics and Computer Science)
  • Article
  • Open Access
27 Citations
9,927 Views
20 Pages

22 February 2020

The Max-cut problem is a well-known combinatorial optimization problem, which has many real-world applications. However, the problem has been proven to be non-deterministic polynomial-hard (NP-hard), which means that exact solution algorithms are not...

(This article belongs to the Special Issue Advances and Novel Approaches in Discrete Optimization)
  • Article
  • Open Access
5 Citations
2,514 Views
14 Pages

21 February 2020

In the present paper, Kantorovich type λ -Bernstein operators via (p, q)-calculus are constructed, and the first and second moments and central moments of these operators are estimated in order to achieve our main results. An A-statistica...

  • Article
  • Open Access
3 Citations
2,922 Views
12 Pages

Common Fixed Point and Endpoint Theorems for a Countable Family of Multi-Valued Mappings

  • Hüseyin Işık,
  • Babak Mohammadi,
  • Choonkil Park and
  • Vahid Parvaneh

21 February 2020

We prove some common fixed point and endpoint theorems for a countable infinite family of multi-valued mappings, as well as Allahyari et al. (2015) did for self-mappings. An example and an application to a system of integral equations are given to sh...

(This article belongs to the Special Issue Fixed Point, Optimization, and Applications)
  • Article
  • Open Access
7 Citations
3,503 Views
14 Pages

The Effect of a Linear Tuning between the Antigenic Stimulations of CD4+ T Cells and CD4+ Tregs

  • Aliyu A. Yusuf,
  • Isabel P. Figueiredo,
  • Atefeh Afsar,
  • Nigel J. Burroughs,
  • Alberto A. Pinto and
  • Bruno M. P. M. Oliveira

21 February 2020

We study the equilibria of an Ordinary Differencial Equation (ODE) system where CD4 + effector or helper T cells and Regulatory T cells (Tregs) are present. T cells trigger an immune response in the presence of their specific antigen. Regulat...

(This article belongs to the Special Issue Mathematical Biology: Modeling, Analysis, and Simulations)
  • Article
  • Open Access
4 Citations
3,054 Views
9 Pages

21 February 2020

We obtain the Wang-type integral inequalities for compact minimal hypersurfaces in the unit sphere S 2 n + 1 with Sasakian structure and use these inequalities to find two characterizations of minimal Clifford hypersurfaces in the unit sphe...

(This article belongs to the Special Issue Inequalities in Geometry and Applications)
  • Article
  • Open Access
2,689 Views
11 Pages

21 February 2020

This study applies the extended L 2 Sobolev type inequality to the L p Sobolev type inequality using Hölder’s inequality. The sharp constant and best function of the L p Sobolev type inequality are found using a Gre...

(This article belongs to the Section C1: Difference and Differential Equations)
  • Article
  • Open Access
32 Citations
4,311 Views
15 Pages

Some Fixed Point Theorems of Ćirić Type in Fuzzy Metric Spaces

  • Dušan Rakić,
  • Tatjana Došenović,
  • Zoran D. Mitrović,
  • Manuel de la Sen and
  • Stojan Radenović

21 February 2020

The main aim of the current paper is the investigation of possibilities for improvements and generalizations contractive condition of Ćirić in the fuzzy metric spaces. Various versions of fuzzy contractive conditions are studied in two directions. Fi...

(This article belongs to the Section D2: Operations Research and Fuzzy Decision Making)
  • Article
  • Open Access
1 Citations
2,571 Views
24 Pages

21 February 2020

We introduce the notion of (dual) residuated frames as a viewpoint of relational semantics for a fuzzy logic. We investigate the relations between (dual) residuated frames and (dual) residuated connections as a topological viewpoint of fuzzy rough se...

(This article belongs to the Section D2: Operations Research and Fuzzy Decision Making)
  • Article
  • Open Access
28 Citations
3,921 Views
12 Pages

20 February 2020

In this paper, we provide tight linear lower bounding functions for multivariate polynomials given over boxes. These functions are obtained by the expansion of polynomials into Bernstein basis and using the linear least squares function. Convergence...

  • Article
  • Open Access
2,422 Views
7 Pages

New Construction of Strongly Relatively Nonexpansive Sequences by Firmly Nonexpansive-Like Mappings

  • Hüseyin Işık,
  • Mohammad Reza Haddadi,
  • Vahid Parvaneh,
  • Choonkil Park and
  • Somayeh Kornokar

20 February 2020

In recent works, many authors generated strongly relatively nonexpansive sequences of mappings by the sequences of firmly nonexpansive-like mappings. In this paper, we introduce a new method for construction of strongly relatively nonexpansive sequen...

(This article belongs to the Special Issue Fixed Point, Optimization, and Applications)
  • Article
  • Open Access
4 Citations
5,603 Views
16 Pages

20 February 2020

This paper deals with the maximum weighted independent set (MWIS) problem. We consider several robust variants of the MWIS problem on trees and prove that most of them are NP-hard. We propose a heuristic for solving the considered robust MWIS variant...

(This article belongs to the Section E1: Mathematics and Computer Science)
  • Article
  • Open Access
112 Citations
17,432 Views
12 Pages

A New K-Nearest Neighbors Classifier for Big Data Based on Efficient Data Pruning

  • Hamid Saadatfar,
  • Samiyeh Khosravi,
  • Javad Hassannataj Joloudari,
  • Amir Mosavi and
  • Shahaboddin Shamshirband

20 February 2020

The K-nearest neighbors (KNN) machine learning algorithm is a well-known non-parametric classification method. However, like other traditional data mining methods, applying it on big data comes with computational challenges. Indeed, KNN determines th...

  • Article
  • Open Access
2 Citations
4,044 Views
30 Pages

20 February 2020

We prove that, if the coefficients of a Fourier–Legendre expansion satisfy a suitable Hausdorff-type condition, then the series converges to a function which admits a holomorphic extension to a cut-plane. Next, we introduce a Laplace-type trans...

(This article belongs to the Special Issue Mathematical Physics II)
  • Article
  • Open Access
5 Citations
3,077 Views
18 Pages

20 February 2020

In this paper, we propose viscosity algorithms with two different inertia parameters for solving fixed points of nonexpansive and strictly pseudocontractive mappings. Strong convergence theorems are obtained in Hilbert spaces and the applications to...

(This article belongs to the Special Issue Applied Functional Analysis and Its Applications)
  • Article
  • Open Access
3 Citations
2,737 Views
11 Pages

20 February 2020

This manuscript reanalyses the Bagley–Torvik equation (BTE). The Riemann–Liouville fractional differential equation (FDE), formulated by R. L. Bagley and P. J. Torvik in 1984, models the vertical motion of a thin plate immersed in a Newto...

(This article belongs to the Special Issue Stability Analysis of Fractional Systems)
  • Article
  • Open Access
5 Citations
5,564 Views
19 Pages

20 February 2020

This paper presents a computational algorithm to derive the theory of linear gauge invariant perturbations on anisotropic cosmological spacetimes of the Bianchi I type. Our code is based on the tensor algebra packages xTensor and xPert, within the co...

(This article belongs to the Special Issue Mathematical and Computational Cosmology)
  • Article
  • Open Access
22 Citations
3,732 Views
21 Pages

19 February 2020

The proposed study presents an economic lot size and production rate model for a single vendor and a single buyer setup. This model involves greenhouse gas (GHG) emissions from industrial sources. The carbon emissions in this model are considered as...

(This article belongs to the Section E1: Mathematics and Computer Science)
  • Article
  • Open Access
2 Citations
3,393 Views
19 Pages

Relevant Aspects for an EF3-Evaluation of E-Cognocracy

  • José María Moreno-Jiménez,
  • Cristina Pérez-Espés and
  • Pilar Rivera-Torres

19 February 2020

The search for an appropriate response to the new challenges and needs posed by the Knowledge Society in the area of public decisions has led to the development of a number of participation models whose value must be assessed and analysed in an integ...

(This article belongs to the Special Issue Optimization for Decision Making II)
  • Article
  • Open Access
7 Citations
7,666 Views
15 Pages

A Bradley-Terry Model-Based Approach to Prioritize the Balance Scorecard Driving Factors: The Case Study of a Financial Software Factory

  • Vicente Rodríguez Montequín,
  • Joaquín Manuel Villanueva Balsera,
  • Marina Díaz Piloñeta and
  • César Álvarez Pérez

19 February 2020

The prioritization of factors has been widely studied applying different methods from the domain of the multiple-criteria decision-making, such as for example the Analytic Hierarchy Process method (AHP) based on decision-makers’ pairwise compar...

(This article belongs to the Special Issue Applications of Operational Research and Mathematical Models in Management)
  • Article
  • Open Access
36 Citations
6,206 Views
16 Pages

A Novel Tabu Search Algorithm for Multi-AGV Routing Problem

  • Lining Xing,
  • Yuanyuan Liu,
  • Haiyan Li,
  • Chin-Chia Wu,
  • Win-Chin Lin and
  • Xin Chen

19 February 2020

In this paper, we propose a novel tabu search (NTS) algorithm that improves the efficiencies of picking goods of automated guided vehicles (AGVs) in an automatic warehouse by solving the conflicts that happen when multiple AGVs work at the same time....

(This article belongs to the Section E1: Mathematics and Computer Science)
  • Article
  • Open Access
26 Citations
5,927 Views
13 Pages

A Spectral Conjugate Gradient Method with Descent Property

  • Jinbao Jian,
  • Lin Yang,
  • Xianzhen Jiang,
  • Pengjie Liu and
  • Meixing Liu

19 February 2020

Spectral conjugate gradient method (SCGM) is an important generalization of the conjugate gradient method (CGM), and it is also one of the effective numerical methods for large-scale unconstrained optimization. The designing for the spectral paramete...

(This article belongs to the Special Issue Optimization for Decision Making II)
  • Feature Paper
  • Article
  • Open Access
9 Citations
3,075 Views
18 Pages

19 February 2020

The paper provides reliability analysis of a cold double redundant renewable system assuming that both life-time and repair time distributions are arbitrary. The proposed approach is based on the theory of decomposable semi-regenerative processes. We...

(This article belongs to the Special Issue Queueing Methods in Reliability Theory and Information Technology Systems)
  • Article
  • Open Access
38 Citations
3,457 Views
14 Pages

19 February 2020

The single-valued complex neutrosophic set is a useful tool for handling the data with uncertainty and periodicity. In this paper, a single-valued complex neutrosophic EDAS (evaluation based on distance from average slution) model has been establishe...

(This article belongs to the Special Issue Applications of Mathematical Methods and Fuzzy Techniques in Decision Making)
  • Article
  • Open Access
2,939 Views
19 Pages

19 February 2020

Poisson equation is a widely used partial differential equation. It is very important to study its numerical solution. Based on the strategy of domain decomposition, the alternating asymmetric iterative algorithm for 3D Poisson equation is provided....

(This article belongs to the Special Issue Multivariate Approximation for solving ODE and PDE)
  • Feature Paper
  • Article
  • Open Access
2 Citations
3,753 Views
21 Pages

18 February 2020

The aim is to put new light on the single ladder problem (SLP). Some new methods for finding complete integer solutions to the corresponding quartic equation z 4 − 2 L z 3 + ( L 2 − a 2 − b 2 ) z 2 + 2 L a 2 z &m...

  • Article
  • Open Access
51 Citations
13,967 Views
16 Pages

Initialization Methods for Multiple Seasonal Holt–Winters Forecasting Models

  • Oscar Trull,
  • Juan Carlos García-Díaz and
  • Alicia Troncoso

18 February 2020

The Holt–Winters models are one of the most popular forecasting algorithms. As well-known, these models are recursive and thus, an initialization value is needed to feed the model, being that a proper initialization of the Holt–Winters mo...

(This article belongs to the Section E5: Financial Mathematics)
  • Article
  • Open Access
4 Citations
3,400 Views
22 Pages

18 February 2020

In this article, a novel radial–based meshfree approach for solving nonhomogeneous partial differential equations is proposed. Stemming from the radial basis function collocation method, the novel meshfree approach is formulated by incorporatin...

(This article belongs to the Special Issue Numerical Modeling and Analysis)
  • Article
  • Open Access
24 Citations
5,532 Views
30 Pages

Cumulative Sum Chart Modeled under the Presence of Outliers

  • Nasir Abbas,
  • Mu’azu Ramat Abujiya,
  • Muhammad Riaz and
  • Tahir Mahmood

18 February 2020

Cumulative sum control charts that are based on the estimated control limits are extensively used in practice. Such control limits are often characterized by a Phase I estimation error. The presence of these errors can cause a change in the location...

(This article belongs to the Special Issue Statistics and Modeling in Reliability Engineering)
  • Article
  • Open Access
5 Citations
2,953 Views
21 Pages

18 February 2020

Many real-life problems can be reduced to scalar and vectorial nonlinear equations by using mathematical modeling. In this paper, we introduce a new iterative family of the sixth-order for a system of nonlinear equations. In addition, we present anal...

(This article belongs to the Special Issue Selected Papers from Iterative Processes for Solving Nonlinear Problems: Convergence and Stability of ICIAM 2019 and MME&HB 2019)
  • Article
  • Open Access
36 Citations
3,979 Views
10 Pages

A Multisecret-Sharing Scheme Based on LCD Codes

  • Adel Alahmadi,
  • Alaa Altassan,
  • Ahmad AlKenani,
  • Selda Çalkavur,
  • Hatoon Shoaib and
  • Patrick Solé

18 February 2020

Secret sharing is one of the most important cryptographic protocols. Secret sharing schemes (SSS) have been created to that end. This protocol requires a dealer and several participants. The dealer divides the secret into several pieces ( the shares)...

(This article belongs to the Special Issue Algebra and Its Applications)
  • Feature Paper
  • Article
  • Open Access
17 Citations
3,587 Views
7 Pages

18 February 2020

With the help of C-contractions having a fixed point, we obtain a characterization of complete fuzzy metric spaces, in the sense of Kramosil and Michalek, that extends the classical theorem of H. Hu (see “Am. Math. Month. 1967, 74, 436–43...

(This article belongs to the Special Issue New Advances in Fuzzy Metric Spaces, Soft Metric Spaces, and Other Related Structures)
  • Article
  • Open Access
9 Citations
3,030 Views
16 Pages

Impact on Stability by the Use of Memory in Traub-Type Schemes

  • Francisco I. Chicharro,
  • Alicia Cordero,
  • Neus Garrido and
  • Juan R. Torregrosa

18 February 2020

In this work, two Traub-type methods with memory are introduced using accelerating parameters. To obtain schemes with memory, after the inclusion of these parameters in Traub’s method, they have been designed using linear approximations or the...

(This article belongs to the Special Issue New Trends in Solving Partial Derivative Equations and Nonlinear Integral Equations by Splitting Techniques and Nonlinear Iterative Methods)
  • Article
  • Open Access
13 Citations
2,246 Views
9 Pages

Clones of Terms of a Fixed Variable

  • Khwancheewa Wattanatripop and
  • Thawhat Changphas

17 February 2020

Let τ be a type of algebras. This paper introduces special terms of type τ called terms of a fixed variable. It turns out that the set of all terms of a fixed variable of type τ forms the many-sorted clone satisfying the...

(This article belongs to the Section E1: Mathematics and Computer Science)
  • Article
  • Open Access
14 Citations
6,472 Views
24 Pages

An Alternative Approach to Measure Co-Movement between Two Time Series

  • José Pedro Ramos-Requena,
  • Juan Evangelista Trinidad-Segovia and
  • Miguel Ángel Sánchez-Granero

17 February 2020

The study of the dependences between different assets is a classic topic in financial literature. To understand how the movements of one asset affect to others is critical for derivatives pricing, portfolio management, risk control, or trading strate...

(This article belongs to the Section E5: Financial Mathematics)
  • Article
  • Open Access
4 Citations
2,967 Views
14 Pages

17 February 2020

Location-based social networks have been widely used. However, due to the lack of effective and safe data management, a large number of privacy disclosures commonly occur. Thus, academia and industry have needed to focus more on location privacy prot...

(This article belongs to the Section E1: Mathematics and Computer Science)
  • Article
  • Open Access
10 Citations
2,832 Views
12 Pages

Fuzzy Reduced Hypergroups

  • Milica Kankaras and
  • Irina Cristea

17 February 2020

The fuzzyfication of hypercompositional structures has developed in several directions. In this note we follow one direction and extend the classical concept of reducibility in hypergroups to the fuzzy case. In particular we define and study the fuzz...

(This article belongs to the Special Issue Hypercompositional Algebra and Applications)
  • Article
  • Open Access
1 Citations
2,493 Views
26 Pages

17 February 2020

The accelerated prox-level (APL) and uniform smoothing level (USL) methods recently proposed by Lan (Math Program, 149: 1–45, 2015) can achieve uniformly optimal complexity when solving black-box convex programming (CP) and structure non-smooth...

(This article belongs to the Special Issue Computational Methods in Applied Analysis and Mathematical Modeling)
  • Article
  • Open Access
35 Citations
4,446 Views
31 Pages

17 February 2020

Burr proposed twelve different forms of cumulative distribution functions for modeling data. Among those twelve distribution functions is the Burr X distribution. In statistical literature, a flexible family called the Burr X-G (BX-G) family is intro...

(This article belongs to the Section E: Applied Mathematics)
  • Article
  • Open Access
2,264 Views
16 Pages

17 February 2020

Wieler showed that every irreducible Smale space with totally disconnected local stable sets is an inverse limit system, called a Wieler solenoid. We study self-similar inverse semigroups defined by s-resolving factor maps of Wieler solenoids. We sho...

(This article belongs to the Section E: Applied Mathematics)
  • Article
  • Open Access
11 Citations
3,315 Views
8 Pages

16 February 2020

We investigate the single-machine parallel-batch scheduling problem with nonidentical job sizes and rejection. In this problem, a set of jobs with different processing times and nonidentical sizes is given to be possibly processed on a parallel-batch...

(This article belongs to the Section E1: Mathematics and Computer Science)
  • Feature Paper
  • Article
  • Open Access
6 Citations
3,955 Views
38 Pages

16 February 2020

There is an increasing push to make automated systems capable of carrying out tasks which humans perform, such as driving, speech recognition, and anomaly detection. Automated systems, therefore, are increasingly required to respond to unexpected con...

(This article belongs to the Special Issue Mathematics and Engineering)
  • Article
  • Open Access
3,344 Views
17 Pages

Modeling Y-Linked Pedigrees through Branching Processes

  • Miguel González,
  • Cristina Gutiérrez and
  • Rodrigo Martínez

15 February 2020

A multidimensional two-sex branching process is introduced to model the evolution of a pedigree originating from the mutation of an allele of a Y-linked gene in a monogamous population. The study of the extinction of the mutant allele and the analysi...

(This article belongs to the Special Issue Stochastic Modeling in Biology)
  • Article
  • Open Access
2 Citations
3,715 Views
9 Pages

15 February 2020

Aiming at inertial and viscous parameter identification for the Stewart manipulator regardless of the influence of Coulomb friction, a simple and effective dynamical parameter identification method based on wavelet transform and joint velocity analys...

(This article belongs to the Special Issue Applied Mathematical Methods in Mechanical Engineering)
  • Article
  • Open Access
33 Citations
5,452 Views
16 Pages

Several Fixed Point Theorems in Convex b-Metric Spaces and Applications

  • Lili Chen,
  • Chaobo Li,
  • Radoslaw Kaczmarek and
  • Yanfeng Zhao

14 February 2020

Our paper is devoted to indicating a way of generalizing Mann’s iteration algorithm and a series of fixed point results in the framework of b-metric spaces. First, the concept of a convex b-metric space by means of a convex structure is introdu...

(This article belongs to the Special Issue Fixed Point Theory and Related Nonlinear Problems with Applications)
  • Article
  • Open Access
5 Citations
3,282 Views
12 Pages

Generalized Tepper’s Identity and Its Application

  • Dmitry Kruchinin,
  • Vladimir Kruchinin and
  • Yilmaz Simsek

14 February 2020

The aim of this paper is to study the Tepper identity, which is very important in number theory and combinatorial analysis. Using generating functions and compositions of generating functions, we derive many identities and relations associated with t...

(This article belongs to the Special Issue Special Polynomials)
  • Article
  • Open Access
14 Citations
2,982 Views
14 Pages

Fuzzy Multi-Hypergroups

  • Sarka Hoskova-Mayerova,
  • Madeline Al Tahan and
  • Bijan Davvaz

14 February 2020

A fuzzy multiset is a generalization of a fuzzy set. This paper aims to combine the innovative notion of fuzzy multisets and hypergroups. In particular, we use fuzzy multisets to introduce the concept of fuzzy multi-hypergroups as a generalization of...

(This article belongs to the Special Issue Hypercompositional Algebra and Applications)
  • Article
  • Open Access
2 Citations
3,106 Views
19 Pages

14 February 2020

In this contribution, we propose an algorithm to compute holonomic second-order differential equations satisfied by some families of orthogonal polynomials. Such algorithm is based in three properties that orthogonal polynomials satisfy: a recurrence...

(This article belongs to the Special Issue Recent Trends on Orthogonal Polynomials: Approximation Theory and Applications)

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Mathematics - ISSN 2227-7390