3区数学

Axioms Pub Date : 2023-11-08 DOI: 10.3390/axioms12111038

Luciano Barcellos-Paula, Aline Castro-Rezende, Daniela Fantoni Alvares

{"title":"Fuzzy Algorithm Applied to Factors Influencing Competitiveness: A Case Study of Brazil and Peru through Affinities Theory","authors":"Luciano Barcellos-Paula, Aline Castro-Rezende, Daniela Fantoni Alvares","doi":"10.3390/axioms12111038","DOIUrl":"https://doi.org/10.3390/axioms12111038","url":null,"abstract":"Innovation plays a crucial role in the economy of nations worldwide. In Latin America, countries foster competitiveness through public and private incentives to support innovation. Moreover, entrepreneurship incentives seek to improve countries’ performance, although factors such as low business growth rates and informality can compromise it. Despite the efforts, there are several difficulties in achieving competitiveness, and few studies in developing countries. Therefore, the article explores the relationship between the factors that influence competitiveness, especially the role of innovation and entrepreneurship in Brazil and Peru. The research uses quantitative-qualitative methodology through modeling and simulation and a case study. The authors use the Affinities Theory to verify the relationship between the indicators that make up the competitiveness landscape and its most significant and attractive factors, adapting the methodology established by the International Institute for Management Development (IMD) World Competitiveness ranking. As a result, this algorithm allows us to know the relationships between five factors of economic attractiveness and four competitiveness indicators. As its main contributions, the study advances the frontier of knowledge about innovation and entrepreneurship, as few studies explore competitiveness in developing countries. Also, it offers a detailed explanation of the application of this algorithm, allowing researchers to reproduce this methodology in other scenarios. Practically, it might support policymakers in formulating development strategies and stimuli for business competitiveness. In addition, academic and business leaders can strengthen university-business collaboration with applied research in innovation and entrepreneurship. One limitation would be the number of countries participating in the research. The authors suggest future lines of research.","PeriodicalId":53148,"journal":{"name":"Axioms","volume":"18 S27","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-11-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135346357","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Investigation of the F* Algorithm on Strong Pseudocontractive Mappings and Its Application 强伪压缩映射上F*算法的研究及其应用

3区数学

Axioms Pub Date : 2023-11-08 DOI: 10.3390/axioms12111041

Felix D. Ajibade, Francis Monday Nkwuda, Hussaini Joshua, Taiwo P. Fajusigbe, Kayode Oshinubi

引用次数: 0

The Branch-and-Bound Algorithm in Optimizing Mathematical Programming Models to Achieve Power Grid Observability 优化数学规划模型实现电网可观测性的分支定界算法

3区数学

Axioms Pub Date : 2023-11-08 DOI: 10.3390/axioms12111040

Nikolaos P. Theodorakatos, Rohit Babu, Angelos P. Moschoudis

{"title":"The Branch-and-Bound Algorithm in Optimizing Mathematical Programming Models to Achieve Power Grid Observability","authors":"Nikolaos P. Theodorakatos, Rohit Babu, Angelos P. Moschoudis","doi":"10.3390/axioms12111040","DOIUrl":"https://doi.org/10.3390/axioms12111040","url":null,"abstract":"Phasor Measurement Units (PMUs) are the backbone of smart grids that are able to measure power system observability in real-time. The deployment of synchronized sensors in power networks opens up the advantage of real-time monitoring of the network state. An optimal number of PMUs must be installed to ensure system observability. For that reason, an objective function is minimized, reflecting the cost of PMU installation around the power grid. As a result, a minimization model is declared where the objective function is defined over an adequate number of constraints on a binary decision variable domain. To achieve maximum network observability, there is a need to find the best number of PMUs and put them in appropriate locations around the power grid. Hence, maximization models are declared in a decision-making way to obtain optimality satisfying a guaranteed stopping and optimality criteria. The best performance metrics are achieved using binary integer, semi-definite, and binary polynomial models to encounter the optimal number of PMUs with suitable PMU positioning sites. All optimization models are implemented with powerful optimization solvers in MATLAB to obtain the global solution point.","PeriodicalId":53148,"journal":{"name":"Axioms","volume":"28 17","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-11-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135390763","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Solution of Two-Dimensional Solute Transport Model for Heterogeneous Porous Medium Using Fractional Reduced Differential Transform Method 非均质多孔介质二维溶质输运模型的分数阶简化微分变换解法

3区数学

Axioms Pub Date : 2023-11-08 DOI: 10.3390/axioms12111039

Manan A. Maisuria, Priti V. Tandel, Trushitkumar Patel

{"title":"Solution of Two-Dimensional Solute Transport Model for Heterogeneous Porous Medium Using Fractional Reduced Differential Transform Method","authors":"Manan A. Maisuria, Priti V. Tandel, Trushitkumar Patel","doi":"10.3390/axioms12111039","DOIUrl":"https://doi.org/10.3390/axioms12111039","url":null,"abstract":"This study contains a two-dimensional mathematical model of solute transport in a river with temporally and spatially dependent flow, explicitly focusing on pulse-type input point sources with a fractional approach. This model is analyzed by assuming an initial concentration function as a declining exponential function in both the longitudinal and transverse directions. The governing equation is a time-fractional two-dimensional advection–dispersion equation with a variable form of dispersion coefficients, velocities, decay constant of the first order, production rate coefficient for the solute at the zero-order level, and retardation factor. The solution of the present problem is obtained by the fractional reduced differential transform method (FRDTM). The analysis of the initial retardation factor has been carried out via plots. Also, the influence of initial longitudinal and transverse dispersion coefficients and velocities has been examined by graphical analysis. The impact of fractional parameters on pollution levels is also analyzed numerically and graphically. The study of convergence for the FRDTM technique has been conducted to assess its efficacy and accuracy.","PeriodicalId":53148,"journal":{"name":"Axioms","volume":"61 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-11-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135342489","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Solution of High-Order Nonlinear Integrable Systems Using Darboux Transformation 用达布变换求解高阶非线性可积系统

3区数学

Axioms Pub Date : 2023-11-03 DOI: 10.3390/axioms12111032

Xinhui Wu, Jiawei Hu, Ning Zhang

引用次数: 0

Geometrically Non-Linear Plane Elasticity Problem in the Area of an Angular Boundary Cut-Out 角边界切割区域的几何非线性平面弹性问题

3区数学

Axioms Pub Date : 2023-11-02 DOI: 10.3390/axioms12111030

Lyudmila Frishter

{"title":"Geometrically Non-Linear Plane Elasticity Problem in the Area of an Angular Boundary Cut-Out","authors":"Lyudmila Frishter","doi":"10.3390/axioms12111030","DOIUrl":"https://doi.org/10.3390/axioms12111030","url":null,"abstract":"A relevant problem in the development and improvement of numeric analytical methods for the research of structures, buildings and construction is studying the stress–strain state of structures and construction with boundaries that have complex shapes. Deformations and stresses arise in a domain with a geometrically non-linear shape of the boundary (cut-outs and cuts). These stresses and deformations have great values and gradients. Experiments carried out using the photoelasticity method show a change in the deformation order ratios for different subareas of the boundary cut-out area depending on proximity to the apex of the angular cut-out. Areas with minor deformations are observed, and areas where linear deformations and shears are more significant than rotations are also observed. In addition, areas where section rotations are more significant than linear and shear deformations are observed. According to the experimental data, the mathematical model of the SSS in the area of the apex of the cut-out of the domain boundary should take into account non-linear deformations. Hence, it is necessary to formulate the boundary value problem of the theory of elasticity, taking into account the geometrical non-linearity. The research aim of this paper is to formulate the problem of the elasticity theory taking into account the geometrical non-linearity in furtherance of the proposed mathematical model justified by the experimental data obtained using the photoelasticity method. The obtained formulation of the elasticity theory problem allows analyzing the form of the system of equations of the boundary value problem depending on the proximity of the considered area to the irregular point of the boundary, i.e., taking into account the difference in the effect of linear and shear deformations, rotations and forced deformations on the solution to the geometrically non-linear elastic problem dealing with forced deformations in the area of an angular cut-out of the boundary of the plane domain.","PeriodicalId":53148,"journal":{"name":"Axioms","volume":"60 5","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-11-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135933536","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Dynamics Analysis of a Discrete-Time Commensalism Model with Additive Allee for the Host Species 一类具有加性通道的寄主离散时间共生模型的动力学分析

3区数学

Axioms Pub Date : 2023-11-02 DOI: 10.3390/axioms12111031

Yanbo Chong, Ankur Jyoti Kashyap, Shangming Chen, Fengde Chen

{"title":"Dynamics Analysis of a Discrete-Time Commensalism Model with Additive Allee for the Host Species","authors":"Yanbo Chong, Ankur Jyoti Kashyap, Shangming Chen, Fengde Chen","doi":"10.3390/axioms12111031","DOIUrl":"https://doi.org/10.3390/axioms12111031","url":null,"abstract":"We propose and study a class of discrete-time commensalism systems with additive Allee effects on the host species. First, the single species with additive Allee effects is analyzed for existence and stability, then the existence of fixed points of discrete systems is given, and the local stability of fixed points is given by characteristic root analysis. Second, we used the center manifold theorem and bifurcation theory to study the bifurcation of a codimension of one of the system at non-hyperbolic fixed points, including flip, transcritical, pitchfork, and fold bifurcations. Furthermore, this paper used the hybrid chaos method to control the chaos that occurs in the flip bifurcation of the system. Finally, the analysis conclusions were verified by numerical simulations. Compared with the continuous system, the similarities are that both species’ densities decrease with increasing Allee values under the weak Allee effect and that the host species hastens extinction under the strong Allee effect. Further, when the birth rate of the benefited species is low and the time is large enough, the benefited species will be locally asymptotically stabilized. Thus, our new finding is that both strong and weak Allee effects contribute to the stability of the benefited species under certain conditions.","PeriodicalId":53148,"journal":{"name":"Axioms","volume":"3 7","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-11-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135974808","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Existence and Uniqueness Results for a Pantograph Boundary Value Problem Involving a Variable-Order Hadamard Fractional Derivative 一类含变阶Hadamard分数阶导数的受电弓边值问题的存在唯一性结果

3区数学

Axioms Pub Date : 2023-11-01 DOI: 10.3390/axioms12111028

Kadda Maazouz, Moussa Daif Allah Zaak, Rosana Rodríguez-López

引用次数: 0

Excess Lifetime Extropy of Order Statistics 序统计量的超额寿命熵

3区数学

Axioms Pub Date : 2023-10-31 DOI: 10.3390/axioms12111024

Mansour Shrahili, Mohamed Kayid

引用次数: 0

Properties of Various Entropies of Gaussian Distribution and Comparison of Entropies of Fractional Processes 高斯分布各种熵的性质及分数阶过程熵的比较