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Mathematics, Volume 9, Issue 20

2021 October-2 - 110 articles

Cover Story: The introduction of a fuzzy set concept by Lotfi A. Zadeh in 1965 did not suggest the extraordinary evolution that followed. Used in various branches of science and technique, the concept was also embedded by mathematicians. Geometric function theory used the notion of a fuzzy set introducing the concept of fuzzy differential subordination. Fuzzy differential subordinations are obtained in this paper, and their fuzzy best dominants facilitate stating sufficient conditions for univalence of a new hypergeometric integral operator defined here using confluent hypergeometric function, having as inspiration an operator studied by Miller, Mocanu, and Reade. Applications in real life or in other scientific domains of the theory of fuzzy differential subordination are subjects for future investigation. View this paper
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Articles (110)

  • Article
  • Open Access
20 Citations
2,814 Views
11 Pages

19 October 2021

We define soft ωp-openness as a strong form of soft pre-openness. We prove that the class of soft ωp-open sets is closed under soft union and do not form a soft topology, in general. We prove that soft ωp-open sets which are countable are soft open s...

(This article belongs to the Special Issue Fuzzy Topology)
  • Review
  • Open Access
75 Citations
9,985 Views
32 Pages

Nature-Inspired Metaheuristic Techniques for Combinatorial Optimization Problems: Overview and Recent Advances

  • Md Ashikur Rahman,
  • Rajalingam Sokkalingam,
  • Mahmod Othman,
  • Kallol Biswas,
  • Lazim Abdullah and
  • Evizal Abdul Kadir

19 October 2021

Combinatorial optimization problems are often considered NP-hard problems in the field of decision science and the industrial revolution. As a successful transformation to tackle complex dimensional problems, metaheuristic algorithms have been implem...

(This article belongs to the Special Issue Optimization for Decision Making III)
  • Article
  • Open Access
16 Citations
3,546 Views
14 Pages

19 October 2021

The paper addresses a new facet of problem regarding the application of AHP in the real world. There are occasions that decision makers are not certain about relative importance assignment in pairwise comparison. The decision makers think the relativ...

(This article belongs to the Special Issue Multicriteria Decision Making and the Analytic Hierarchy Process)
  • Article
  • Open Access
7 Citations
2,292 Views
8 Pages

On Graded S-Primary Ideals

  • Azzh Saad Alshehry

19 October 2021

Let R be a commutative graded ring with unity, S be a multiplicative subset of homogeneous elements of R and P be a graded ideal of R such that P⋂S=∅. In this article, we introduce the concept of graded S-primary ideals which is a generalization of g...

(This article belongs to the Section A: Algebra and Logic)
  • Article
  • Open Access
2,453 Views
15 Pages

Extended Kung–Traub Methods for Solving Equations with Applications

  • Samundra Regmi,
  • Ioannis K. Argyros,
  • Santhosh George,
  • Ángel Alberto Magreñán and
  • Michael I. Argyros

19 October 2021

Kung and Traub (1974) proposed an iterative method for solving equations defined on the real line. The convergence order four was shown using Taylor expansions, requiring the existence of the fifth derivative not in this method. However, these hypoth...

(This article belongs to the Special Issue Application of Iterative Methods for Solving Nonlinear Equations)
  • Article
  • Open Access
1 Citations
2,233 Views
8 Pages

19 October 2021

The order of appearance of n (in the Fibonacci sequence) z(n) is defined as the smallest positive integer k for which n divides the k—the Fibonacci number Fk. Very recently, Trojovský proved that z(n) is an even number for almost all positive integer...

(This article belongs to the Special Issue New Insights in Algebra, Discrete Mathematics and Number Theory II)
  • Article
  • Open Access
6 Citations
4,876 Views
30 Pages

On K-Means Clustering with IVIF Datasets for Post-COVID-19 Recovery Efforts

  • Lanndon Ocampo,
  • Joerabell Lourdes Aro,
  • Samantha Shane Evangelista,
  • Fatima Maturan,
  • Egberto Selerio,
  • Nadine May Atibing and
  • Kafferine Yamagishi

19 October 2021

The recovery efforts of the tourism and hospitality sector are compromised by the emergence of COVID-19 variants that can escape vaccines. Thus, maintaining non-pharmaceutical measures amidst massive vaccine rollouts is still relevant. The previous w...

(This article belongs to the Special Issue From COVID-19 to Resilience: Quantitative Methods in Economics and Business)
  • Article
  • Open Access
26 Citations
5,720 Views
26 Pages

18 October 2021

In recent years in Taiwan, scholars who study financial bankruptcy have mostly focused on individual listed and over-the-counter (OTC) industries or the entire industry, while few have studied the independent electronics industry. Thus, this study in...

(This article belongs to the Special Issue Data Analysis and Domain Knowledge)
  • Article
  • Open Access
9 Citations
3,117 Views
30 Pages

18 October 2021

In this study, we investigate pricing policy and coordination conditions in an online-to-offline supply chain considering corporate environmental responsibility and lateral inventory transshipment. First, we provide demand functions to capture effect...

  • Article
  • Open Access
15 Citations
3,533 Views
24 Pages

18 October 2021

The paper deals with a finite-source queueing system serving one class of customers and consisting of heterogeneous servers with unequal service intensities and of one common queue. The main model has a non-preemptive service when the customer can no...

(This article belongs to the Section E: Applied Mathematics)
  • Article
  • Open Access
38 Citations
3,265 Views
14 Pages

An Intelligent Metaheuristic Binary Pigeon Optimization-Based Feature Selection and Big Data Classification in a MapReduce Environment

  • Felwa Abukhodair,
  • Wafaa Alsaggaf,
  • Amani Tariq Jamal,
  • Sayed Abdel-Khalek and
  • Romany F. Mansour

18 October 2021

Big Data are highly effective for systematically extracting and analyzing massive data. It can be useful to manage data proficiently over the conventional data handling approaches. Recently, several schemes have been developed for handling big datase...

(This article belongs to the Special Issue Recent Progress in Big Data and Artificial Intelligence: Modern Methods and Applications)
  • Article
  • Open Access
13 Citations
3,414 Views
16 Pages

A Reverse Non-Stationary Generalized B-Splines Subdivision Scheme

  • Abdellah Lamnii,
  • Mohamed Yassir Nour and
  • Ahmed Zidna

18 October 2021

In this paper, two new families of non-stationary subdivision schemes are introduced. The schemes are constructed from uniform generalized B-splines with multiple knots of orders 3 and 4, respectively. Then, we construct a third-order reverse subdivi...

(This article belongs to the Special Issue Spline Functions and Applications)
  • Article
  • Open Access
12 Citations
2,881 Views
11 Pages

Chaos on Fuzzy Dynamical Systems

  • Félix Martínez-Giménez,
  • Alfred Peris and
  • Francisco Rodenas

18 October 2021

Given a continuous map f:X→X on a metric space, it induces the maps f¯:K(X)→K(X), on the hyperspace of nonempty compact subspaces of X, and f^:F(X)→F(X), on the space of normal fuzzy sets, consisting of the upper semicontinuous functions u:X→[0,1] wi...

(This article belongs to the Special Issue Dynamical Systems and Their Applications Methods)
  • Article
  • Open Access
2 Citations
3,218 Views
19 Pages

18 October 2021

Social influence analysis is a very popular research direction. This article analyzes the social network of musicians and the many influencing factors when musicians create music to rank the influence of musicians. In order to achieve the practical p...

(This article belongs to the Section E1: Mathematics and Computer Science)
  • Article
  • Open Access
12 Citations
2,855 Views
16 Pages

18 October 2021

An algorithm for synchronization of a network composed of interconnected Hindmarsh–Rose neurons is presented. Delays are present in the interconnections of the neurons. Noise is added to the controlled input of the neurons. The synchronization algori...

(This article belongs to the Special Issue Structure and Dynamics of Complex Networks)
  • Article
  • Open Access
48 Citations
6,594 Views
26 Pages

18 October 2021

The unprecedented coronavirus pandemic (COVID-19) is fluctuating worldwide. Since the COVID-19 epidemic has a negative impact on all countries and has become a significant threat, it is necessary to determine the most effective strategy for governmen...

(This article belongs to the Special Issue New Trends in Fuzzy Sets Theory and Their Extensions)
  • Article
  • Open Access
11 Citations
3,823 Views
19 Pages

Predicting the Traffic Capacity of an Intersection Using Fuzzy Logic and Computer Vision

  • Vladimir Shepelev,
  • Alexandr Glushkov,
  • Tatyana Bedych,
  • Tatyana Gluchshenko and
  • Zlata Almetova

18 October 2021

This paper presents the application of simulation to assess and predict the influence of random factors of pedestrian flow and its continuity on the traffic capacity of a signal-controlled intersection during a right turn. The data were collected fro...

(This article belongs to the Special Issue Intelligent Computing in Industry Applications)
  • Article
  • Open Access
14 Citations
11,326 Views
26 Pages

17 October 2021

Starting with the interactive relationship between electronic money and household consumption stimuli, this paper deeply analyzes the changes in the behavior of each monetary subject under the impact of electronic money, and establishes a DSGE model...

(This article belongs to the Special Issue Statistical Methods in Economics)
  • Article
  • Open Access
8 Citations
3,929 Views
32 Pages

INF-GAN: Generative Adversarial Network for Illumination Normalization of Finger-Vein Images

  • Jin Seong Hong,
  • Jiho Choi,
  • Seung Gu Kim,
  • Muhammad Owais and
  • Kang Ryoung Park

17 October 2021

When images are acquired for finger-vein recognition, images with nonuniformity of illumination are often acquired due to varying thickness of fingers or nonuniformity of illumination intensity elements. Accordingly, the recognition performance is si...

(This article belongs to the Section E1: Mathematics and Computer Science)
  • Article
  • Open Access
9 Citations
6,719 Views
20 Pages

Multi-Criteria Analysis for Business Location Decisions

  • Virginia Perez-Benitez,
  • German Gemar and
  • Mónica Hernández

17 October 2021

Choosing the physical place in which to locate a company or make investments is a strategic decision that managers must make when their business activities begin and as they expand. These decisions are key to firms’ survival. This study sought to she...

(This article belongs to the Special Issue Applications of Quantitative Methods in Business and Economics Research)
  • Article
  • Open Access
26 Citations
6,233 Views
20 Pages

17 October 2021

With the evolution of modern digital pathology, examining cancer cell tissues has paved the way to quantify subtle symptoms, for example, by means of image staining procedures using Eosin and Hematoxylin. Cancer tissues in the case of breast and lung...

(This article belongs to the Special Issue Application of Mathematical Methods in Artificial Intelligence)
  • Article
  • Open Access
9 Citations
7,574 Views
29 Pages

BVPs Codes for Solving Optimal Control Problems

  • Francesca Mazzia and
  • Giuseppina Settanni

17 October 2021

Optimal control problems arise in many applications and need suitable numerical methods to obtain a solution. The indirect methods are an interesting class of methods based on the Pontryagin’s minimum principle that generates Hamiltonian Boundary Val...

(This article belongs to the Special Issue Differential Equation Models in Applied Mathematics: Theoretical and Numerical Challenges)
  • Article
  • Open Access
7 Citations
3,550 Views
25 Pages

17 October 2021

The inverse spectral problem for the second-order differential pencil with quadratic dependence on the spectral parameter is studied. We obtain sufficient conditions for the global solvability of the inverse problem, prove its local solvability and s...

(This article belongs to the Special Issue Recent Advances in Differential Equations and Applications)
  • Article
  • Open Access
4 Citations
2,929 Views
13 Pages

17 October 2021

In this paper, we introduce a new iterative method using an inertial technique for approximating a common fixed point of an infinite family of nonexpansive mappings in a Hilbert space. The proposed method’s weak convergence theorem was established un...

(This article belongs to the Special Issue Functional Inequalities and Equations)
  • Article
  • Open Access
2,731 Views
20 Pages

17 October 2021

This paper proposes a code defined on a finite ring ℤpM, where pM = 2m−1 is a Mersenne prime, and m is a binary size of ring elements. The code is based on a splitting sequence (splitting set) S, defined for the given multiplier set E=±20, ±21,…...

(This article belongs to the Special Issue Advanced Coding and Stochastic Signal Processing in Dense Communication Networks)
  • Article
  • Open Access
6 Citations
3,430 Views
17 Pages

A Self-Learning Based Preference Model for Portfolio Optimization

  • Shicheng Hu,
  • Danping Li,
  • Junmin Jia and
  • Yang Liu

17 October 2021

An investment in a portfolio can not only guarantee returns but can also effectively control risk factors. Portfolio optimization is a multi-objective optimization problem. In order to better assist a decision maker to obtain his/her preferred invest...

(This article belongs to the Special Issue Multi-Criteria Decision Making and Data Mining)
  • Article
  • Open Access
11 Citations
3,868 Views
35 Pages

16 October 2021

In this paper, we complement a study recently conducted in a paper of H.A. Mombeni, B. Masouri and M.R. Akhoond by introducing five new asymmetric kernel c.d.f. estimators on the half-line [0,∞), namely the Gamma, inverse Gamma, LogNormal, inverse Ga...

(This article belongs to the Special Issue Stochastic Models with Applications)
  • Article
  • Open Access
15 Citations
3,621 Views
14 Pages

On Third-Order Bronze Fibonacci Numbers

  • Mücahit Akbiyik and
  • Jeta Alo

16 October 2021

In this study, we firstly obtain De Moivre-type identities for the second-order Bronze Fibonacci sequences. Next, we construct and define the third-order Bronze Fibonacci, third-order Bronze Lucas and modified third-order Bronze Fibonacci sequences....

(This article belongs to the Special Issue Mathematics and Its Applications in Science and Engineering)
  • Article
  • Open Access
3 Citations
4,381 Views
22 Pages

16 October 2021

With the influence of digital technology in our daily lives continuously growing, we investigate methods with the purpose of assessing the stability, sustainability, and design of systems of token economies that include tokens and conventional curren...

(This article belongs to the Special Issue Sustainability Issues and Mathematical Models of Digital Technologies)
  • Article
  • Open Access
5 Citations
4,831 Views
32 Pages

16 October 2021

Service quality is an important factor for a successful company. The SERVQUAL model is widely used. However, it has been controversial over the past 30 years. This research aims to develop a service quality measurement model that can be supported in...

  • Article
  • Open Access
3 Citations
3,069 Views
18 Pages

16 October 2021

We present a finite volume method formulated on a mixed Eulerian-Lagrangian mesh for highly advective 1D hyperbolic systems altogether with its application to plug-flow heat exchanger modeling/simulation. Advection of sharp moving fronts is an import...

(This article belongs to the Special Issue Applications of Partial Differential Equations in Engineering)
  • Article
  • Open Access
6 Citations
2,477 Views
18 Pages

A High Fidelity Authentication Scheme for AMBTC Compressed Image Using Reference Table Encoding

  • Tungshou Chen,
  • Xiaoyu Zhou,
  • Rongchang Chen,
  • Wien Hong and
  • Kiasheng Chen

16 October 2021

In this paper, we propose a high-quality image authentication method based on absolute moment block truncation coding (AMBTC) compressed images. The existing AMBTC authentication methods may not be able to detect certain malicious tampering due to th...

(This article belongs to the Special Issue Mathematical Approaches to Image Processing with Applications)
  • Article
  • Open Access
20 Citations
4,631 Views
19 Pages

A Binary Machine Learning Cuckoo Search Algorithm Improved by a Local Search Operator for the Set-Union Knapsack Problem

  • José García,
  • José Lemus-Romani,
  • Francisco Altimiras,
  • Broderick Crawford,
  • Ricardo Soto,
  • Marcelo Becerra-Rozas,
  • Paola Moraga,
  • Alex Paz Becerra,
  • Alvaro Peña Fritz and
  • Gino Astorga
  • + 1 author

16 October 2021

Optimization techniques, specially metaheuristics, are constantly refined in order to decrease execution times, increase the quality of solutions, and address larger target cases. Hybridizing techniques are one of these strategies that are particular...

(This article belongs to the Special Issue Metaheuristic Algorithms)
  • Article
  • Open Access
2 Citations
3,642 Views
34 Pages

16 October 2021

Convolutional Neural Networks (CNNs) are broadly used in numerous applications such as computer vision and image classification. Although CNN models deliver state-of-the-art accuracy, they require heavy computational resources that are not always aff...

(This article belongs to the Special Issue Computational Optimizations for Machine Learning)
  • Article
  • Open Access
3 Citations
4,466 Views
12 Pages

Curious Generalized Fibonacci Numbers

  • Jose L. Herrera,
  • Jhon J. Bravo and
  • Carlos A. Gómez

15 October 2021

A generalization of the well-known Fibonacci sequence is the k−Fibonacci sequence whose first k terms are 0,…,0,1 and each term afterwards is the sum of the preceding k terms. In this paper, we find all k-Fibonacci numbers that are curious numbers (i...

  • Article
  • Open Access
16 Citations
2,889 Views
22 Pages

15 October 2021

Multigranulation rough set (MGRS) based on soft relations is a very useful technique to describe the objectives of problem solving. This MGRS over two universes provides the combination of multiple granulation knowledge in a multigranulation space. T...

(This article belongs to the Special Issue Fuzzy Logic and Soft Computing – Dedicated to the Centenary of the Birth of Lotfi A. Zadeh (1921-2017))
  • Article
  • Open Access
31 Citations
3,113 Views
20 Pages

Point Cloud Registration Based on Multiparameter Functional

  • Artyom Makovetskii,
  • Sergei Voronin,
  • Vitaly Kober and
  • Aleksei Voronin

15 October 2021

The registration of point clouds in a three-dimensional space is an important task in many areas of computer vision, including robotics and autonomous driving. The purpose of registration is to find a rigid geometric transformation to align two point...

(This article belongs to the Special Issue Intelligent Computing in Industry Applications)
  • Article
  • Open Access
26 Citations
8,537 Views
16 Pages

15 October 2021

The mathematical knowledge for teaching (MKT) model emerged from the advances proposed by Shulman in 1986 and 1987 as part of the teacher’s professional knowledge model, and refers to the mathematical knowledge that the teacher employs to carry out t...

(This article belongs to the Special Issue Mathematics Teacher’s Specialised Knowledge)
  • Article
  • Open Access
2,283 Views
26 Pages

15 October 2021

Let (X,d,μ) be a space of homogeneous type in the sense of Coifman and Weiss. In this article, the author develops a partial theory of paraproducts {Πj}j=13 defined via approximations of the identity with exponential decay (and integration 1), which...

(This article belongs to the Special Issue Recent Developments of Function Spaces and Their Applications I)
  • Article
  • Open Access
10 Citations
3,722 Views
19 Pages

Spectral Properties of Clipping Noise

  • Alexander Frömming,
  • Lars Häring and
  • Andreas Czylwik

15 October 2021

One serious disadvantage of any multicarrier-modulation technique such as orthogonal frequency division multiplexing (OFDM) is its high peak-to-average-power ratio (PAPR) which might lead to signal clipping in several scenarios. To maximize the trans...

(This article belongs to the Special Issue Advanced Coding and Stochastic Signal Processing in Dense Communication Networks)
  • Article
  • Open Access
53 Citations
5,082 Views
25 Pages

A New Fractional-Order Chaotic System with Its Analysis, Synchronization, and Circuit Realization for Secure Communication Applications

  • Zain-Aldeen S. A. Rahman,
  • Basil H. Jasim,
  • Yasir I. A. Al-Yasir,
  • Yim-Fun Hu,
  • Raed A. Abd-Alhameed and
  • Bilal Naji Alhasnawi

15 October 2021

This article presents a novel four-dimensional autonomous fractional-order chaotic system (FOCS) with multi-nonlinearity terms. Several dynamics, such as the chaotic attractors, equilibrium points, fractal dimension, Lyapunov exponent, and bifurcatio...

(This article belongs to the Special Issue Advanced Methods in Computational Mathematical Physics)
  • Article
  • Open Access
5 Citations
2,335 Views
26 Pages

15 October 2021

This study proposes a method for resource management and optimisation in the industrial sector of China. Differing from previous research on the green assessment of industrial systems focusing on “black box” evaluation, our approach contributes to th...

  • Article
  • Open Access
8 Citations
2,423 Views
20 Pages

15 October 2021

The forecast of carbon trading price is crucial to both sellers and purchasers; multi-scale integration models have been used widely in this process. However, these multi-scale models ignore the feature reconstruction process as well as the residual...

(This article belongs to the Special Issue Applied Data Analytics)
  • Article
  • Open Access
1,831 Views
25 Pages

15 October 2021

For the sake of providing insight into the use of nonstandard techniques à la A. Robinson and into Luxemburg’s nonstandard hull construction, we first present nonstandard proofs of some known results about C*-algebras. Then we introduce extensions of...

(This article belongs to the Section E1: Mathematics and Computer Science)
  • Article
  • Open Access
3 Citations
2,323 Views
21 Pages

15 October 2021

In this paper, we introduce the notion of resolvable networks. A resolvable network is a digraph of subnetworks, where subnetworks may overlap, and the inner structure of subnetworks are not interesting from the viewpoint of the network. There are tw...

(This article belongs to the Section E: Applied Mathematics)
  • Article
  • Open Access
46 Citations
9,503 Views
27 Pages

15 October 2021

Student dropout, defined as the abandonment of a high education program before obtaining the degree without reincorporation, is a problem that affects every higher education institution in the world. This study uses machine learning models over two C...

(This article belongs to the Special Issue Artificial Intelligence in Education)
  • Article
  • Open Access
5 Citations
2,244 Views
12 Pages

15 October 2021

In this paper, the cluster synchronization of a variable-order fractional community network with nonidentical dynamics is investigated. For achieving the cluster synchronization, intermittent controllers are designed, and the sufficient conditions wi...

(This article belongs to the Section E: Applied Mathematics)
  • Article
  • Open Access
3 Citations
3,807 Views
17 Pages

15 October 2021

Over the last few decades, public programs have driven the gradual adoption of information and communication technologies (ICTs) in education. The most ambitious project in Spain so far was Escuela 2.0, which provided students from the regions that o...

(This article belongs to the Special Issue Economics of Education: Quantitative Methods for Educational Policies)
  • Article
  • Open Access
25 Citations
5,451 Views
21 Pages

15 October 2021

The COVID-19 pandemic and its social implications generate adverse psychological effects that affect success in education where educational methodologies are not ready to overcome the problem. This article presents the design and evaluation of a gami...

(This article belongs to the Special Issue Advances in the Scientific Interplay of Mathematics and Language, Literature, and Education)
  • Article
  • Open Access
3 Citations
3,301 Views
20 Pages

Marginalized Two-Part Joint Modeling of Longitudinal Semi-Continuous Responses and Survival Data: With Application to Medical Costs

  • Mohadeseh Shojaei Shahrokhabadi,
  • (Din) Ding-Geng Chen,
  • Sayed Jamal Mirkamali,
  • Anoshirvan Kazemnejad and
  • Farid Zayeri

15 October 2021

Non-negative continuous outcomes with a substantial number of zero values and incomplete longitudinal follow-up are quite common in medical costs data. It is thus critical to incorporate the potential dependence of survival status and longitudinal me...

(This article belongs to the Special Issue Mathematical and Computational Statistics and Their Applications)

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Mathematics - ISSN 2227-7390