Proceedings of 2nd International Conference on Mathematical Modeling and Computational Science: ICMMCS 2021 (Advances in Intelligent Systems and Computing, 1422)

The conference proceeding of ICMMCS 2021 presents most recent scientific and technological advances in the fields of engineering mathematics and computational science to strengthen the links in the scientific community. It is a collection of high-quality, peer-reviewed research papers presented at the Second International Conference on Mathematical Modeling and Computational Science (ICMMCS 2021), held online during October 29–30, 2021. The topics covered in the book are mathematical logic and foundations, numerical analysis, neural networks, fuzzy set theory, coding theory, higher algebra, number theory, graph theory and combinatory, computation in complex networks, calculus, differential educations and integration, application of soft computing, knowledge engineering, machine learning, artificial intelligence, big data and data analytics, high-performance computing, network and device security, Internet of Things (IoT). Organizing Committee and Key Members Preface and Acknowledgements Contents About the Editors A Study About (γ, γʹ)α–Regular Spaces, Normal Spaces with (γ, γʹ)–Open Sets and α(γ, γʹ)–Open Sets 1 Preface 2 Preliminaries 3 ( γ,γ )α-Regular spaces 4 (γ,γ )α-Normal Spaces References The Role of Harvesting in a Food Chain Model and Its Stability Analysis 1 Introduction 2 Description of the Model 3 Analysis of the Model 3.1 Boundedness, Equilibria 3.2 Localite Stability Criteria of the Stable Points 4 Analysis of the Model 5 Numerical Simulation 6 Conclusion References Inventory Queuing System Study Using Simulation and Birth–Death Process 1 Introduction 2 Inventory Queuing System as a Birth–Death Process 3 Method 1 3.1 Newsboy M|M|1 Model 3.2 Methodology 3.3 Results 4 Method 2 5 Conclusion References Steady-State Analysis of Bulk Queuing System with Renovation, Prolonged Vacation and Tune-Up/Shutdown Times 1 Introduction 2 Model Description 2.1 Notations 3 Steady-State Analysis 4 Probability Generating Function 4.1 Probability Generating Function of Queue Size 4.2 Steady-State Condition 5 Performance Measures 5.1 Expected Queue Length 5.2 Expected Waiting Time in the Queue 5.3 Expected Length of Busy Period 5.4 Probability that the Server is on Vacation 6 Numerical Illustration 7 Conclusion References Estimation of Public Compliance with COVID-19 Prevention Standard Operating Procedures Through a Mathematical Model 1 Introduction 2 Mathematical Model 3 Results and Discussion 4 Conclusion References Campus Recruitment Cost Analysis: A Roadmap for HR Managers 1 Introduction 2 Campus Recruitment Process and Cost Computation 3 Related Work 4 Objectives and Contributions 5 Proposed Methodology 6 Case Study 7 Conclusion References Certain Types of Domination in Nover Top Graphs 1 Introduction 2 Preliminaries 3 Types of Nover Top Domination Graphs References Analysis and Classification of Physiological Signals for Emotion Detection 1 Introduction 2 Review of Related Work 3 Proposed Work 3.1 Workflow of the Classifier Model 3.2 Analysis of Pre-processed Datasets 3.3 Feature Selection, Extraction, and Validation 3.4 Classification with Machine Learning Algorithms 3.5 Performance Analysis of Classification 4 Conclusion References Wiener and Zagreb Indices for Helm and Web Graph 1 Introduction 2 Main Results 3 Conclusion References Disease Classification Using Particle Swarm Optimization with Fuzzy Neural Network 1 Introduction 2 Particle Swarm Optimization 3 Fuzzy Min–Max Method 4 Experiments and Results 4.1 Datasets 4.2 Results 5 Conclusion References A Comparison of Fuzzy and ACO-Based Fuzzy for Classification of Bio-Medical Database 1 Introduction 2 Machine Learning Methods 2.1 Fuzzy Logic 2.2 Evolutionary Algorithms 2.3 Ant Colony Optimization (ACO) 3 Motivational Database 4 Methods and Results 4.1 Fuzzy Classification 4.2 Variables Reduction by ACO 4.3 Classification of ACO-based Fuzzy 5 Conclusions References Secret Information Sharing Using Probability and Bilinear Transformation 1 Introduction 2 Standard Definitions 3 Collection of Raw Data 4 Algorithm for Decryption 5 Coding Table Used for Cyptographic Analysis 6 Encryption—Worked Example 7 Decryption—Worked Example 8 Conclusion References Encryption on Graph Networks 1 Introduction 2 Main Results 2.1 Construction of Graph Network 2.2 Encryption Algorithm: Encrypting Number M equiva(-5mumod5mu-t), Where a = 0 2.3 Decryption Algorithm 2.4 Encrypting Number M equiva(-5mumod5mu-t), Where a 0 2.5 Illustration of Encryption and Decryption Algorithm 3 Conclusion References A Novel Indexing Scheme Over Lattice of Cuboids and Concept Hierarchy in Data Warehouse 1 Introduction 2 Related Work 3 Indexing Scheme 4 Objective 5 Proposed Methodology 5.1 Ranking of Dimensions 5.2 Loading of Values in Secondary Index 6 Case Study 7 Complexity Analysis 8 Conclusion References Modeling Interactive E-book: Computational Perspective and Design Principles 1 Introduction 2 Theoretical Frameworks 2.1 The Trend of Technology Integration in Personalized Teaching 2.2 Integrated Interactive Multimedia Model (INTERACT) 3 Interactive E-books Design to Support Personalized Teaching 3.1 Interactive E-books Design 3.2 Application of Interactive E-book Design in Chemistry Teaching 4 Conclusion References Bipolar-Valued Fuzzy Subhemirings of a Hemiring Under Homomorphism 1 Introduction 2 Bipolar-Valued Fuzzy Subhemiring (BVFSHR) 3 Conclusion and Future Work References Hybrid Phase Synchronization for Generalized Stretch, Twist, Fold Flow Chaotic System of Fractional Order 1 Introduction 2 Basic Concepts 3 The Mathematical Model 4 Equilibria Analysis 5 Hybrid Phase Synchronization 6 Numerical Simulation 7 Conclusion References Glucose Distribution and Drug Diffusion Mechanism in the Fuzzy Fluid Connective Tissue in Human Systems: A Mathematical Modelling Approach 1 Introduction 2 Preliminaries 2.1 Characterisation Theorem 3 Mathematical Model Formulation 3.1 Fuzzy Solution of the Fuzzy Diffusion of Drug in the Blood Stream Model 3.2 Fuzzy Solution of the Heterogenous Diffusion of Glucose in the Blood Stream Model 4 Conclusion References A Generic Modelling on Neo4j to Recommend Students for Suitable Job Sectors Based on Different Skill Set Parameters 1 Introduction 2 Problem Definition 3 Proposed Methodology 3.1 Dataset Description 3.2 Data Pre-processing 3.3 Data Modelling 3.4 Data Importing 4 Case Study 5 Conclusion References Rainwater Harvesting for Washing of Clothes in Washing Machine by Using Raspberry Pi 1 Introduction 1.1 Research Context 1.2 Research Limitation 1.3 Research Objective 1.4 Present Research 1.5 Research Contribution 2 Literature Survey 3 Material and Methodology 4 Schematic Representation 4.1 Required Sensors and Other Element 4.2 Operation Execution 4.3 Data Retrieve Through IoT and Application 4.4 Result and Discussion 5 Conclusion References A Hybrid Deep Learning Models for Hetrogeneous Medical Big Data Integration 1 Introduction 2 Related Works 3 Proposed Integration Framework 4 ELM—Extreme Learning Machines: An Overview 5 Proposed Multi-model Learning Models 6 Conclusion 7 Future Work References Novel on Digital Neutrosophic Topological Spaces 1 Introduction 2 Preliminaries 3 Digital Neutrosophic Topological Spaces 4 Properties of Border, Frontier and Exterior via Digital Neutrosophic Topological Spaces 5 Conclusion References An Approach to Solving Linear Programming Problems by Using Trapezoidal Intuitionistic Fuzzy Number and the Dual-Simplex Algorithm 1 Introduction 1.1 Necessity of Solving Fuzzy Dual-Simplex 1.2 Review on Fuzzy Mathematics 1.3 Novelties 2 Preliminaries 3 Application 3.1 Application (1st Part) 3.2 Application (2nd part) 4 Discussion 5 Conclusion References Restoring of Fundus Retinal Image for Detection of Diabetic Retinopathy in Presence of Blurriness of Cataract 1 Introduction 2 Related Work 3 Proposed Methodology 3.1 Background Blurriness Calculation 3.2 Background Analysis 3.3 Background Correction 4 Experimental Results 5 Conclusion References Digital Transformation in Higher Education: A Case Study in Vietnam from Human Rights-Based Approach 1 Introduction 2 Background 3 Research Model and Hypotheses 4 Study 4.1 Case Example: Tan Trao University in Tuyenquang Province 4.2 Method 4.3 Data Analysis Results 5 Discussion 6 Conclusion and Future Research 7 Conflicts of Interest References An Unstable Flow Past in a Vertical Plate Originating from the Parabola of Magnetic Field 1 Introduction 1.1 Method of Answer 2 Results and Discussion 3 Conclusion References Opinion of Faculty About the Effectiveness of Online Class During COVID Pandemic 1 Introduction 2 Preliminaries and Methodology 2.1 Formation of ATD Matrix 2.2 Structure of RTD Matrix 2.3 CETD Matrix 3 Collection of Raw Data 4 Formation of ATD Matrix 5 Formation of ATD Matrix 6 Result and Discussion 7 Conclusion References A Deterministic Replenishment Policy for Constant Deteriorating Giffen Goods with Time-Dependent Demand 1 Introduction 1.1 Giffen Good Definition 1.2 Conditions to Be a Giffen Good 2 Presumptions and Symbols 2.1 Presumptions 2.2 Symbol 3 Mathematical Model 4 Numerical Example 5 Sensitivity Analysis 6 Discussion of Results 7 Conclusion References Randomly Selection of Interior Points in SV Learning Algorithm Uses of Confidence Parameter 1 Introduction 2 Support Vector Machine Methodology 3 Structure of Place Classification 4 Adaptive Confidence Factor with Active Learning Algorithm of Support Vector 5 Confidence Factor 6 Conclusion References Using Convolutional Neural Networks for Fault Analysis and Alleviation in Accelerator Systems 1 Introduction 2 Background 3 DNN Acceleration Fault Analysis Platform and Fault Classification 3.1 Fault Analysis Platform 3.2 System Fault Classification 4 Experiment 4.1 Device and Environment 4.2 Overview 4.3 Error Consequences and Coverage 4.4 Effect of Error Number 4.5 Details of Result with Deviation 4.6 Input-Related Error 5 Related Work 6 Conclusion References Trust-Based Efficient Computational Scheme for MANET in Clustering Environment 1 Introduction 2 Related Work 3 Proposed Trust Computation Scheme in Clustering Environment 3.1 Trust Score Range 3.2 Some Essential Presumptions of Proposed Scheme 3.3 Intra-cluster Trust Computation 3.4 Inter-cluster Trust Computation 4 Analysis of Newly Proposed Trust Computational Mathematical Result 4.1 Assumption of the Proposed Scheme 4.2 Theorem A 4.3 Theorem B 4.4 Theorem C 5 Conclusion References A Comparative Approach for Solving Fuzzy Transportation Problem with Hexagonal Fuzzy Numbers and Neutrosophic Triangular Fuzzy Numbers 1 Introduction 2 Terminology 2.1 Fuzzy Set 2.2 Hexagonal Fuzzy Number (HFN) 2.3 Neutrosophic Triangular Fuzzy Number (NTFN) 3 Ranking Technique 3.1 Ranking Function for Hexagonal Fuzzy Numbers and Neutrosophic Triangular Fuzzy Numbers 3.2 Arithmetic Operations on Hexagonal Fuzzy Numbers 4 FTP—A Mathematical Formulation 5 Numerical Example-1 6 Numerical Example-2 7 Comparison of Results 8 Conclusion References Analysis of Student’s Feedback About Online Class Using Fuzzy Matrix Theory 1 Introduction 2 Preliminaries and Methodology 2.1 ATD Matrix 2.2 Structure of RTD Matrix 2.3 CETD Matrix 3 Collection of Raw Data 4 Formation of ATD Matrix 5 Formation of RTD and CETD Matrix 6 Result and Discussion 7 Conclusion References Analysis of an Imprecise Delayed SIR Model System with Holling Type-III Treatment Rate 1 Introduction 2 Preliminaries 3 Model Formulation 4 Equilibriums and Stability Analysis 4.1 Disease-Free Equilibrium (DFE) 4.2 Endemic Equilibrium (EE) 4.3 Hopf Bifurcation 5 Numerical Simulation 6 Conclusion Reference:s Design and Application of Virtual Reality Technology in Digital Pedagogy 1 Introduction 2 Model of Bringing VR Technology into Education and Training 2.1 Two Model of Bringing VR Technology into Education and Training 2.2 Age Characteristics of High School Students and the Ability to Receive Information 2.3 Teaching by Topic in High Schools Today 2.4 Applying VR Technology Teaching 3 Design, Application of Virtual Reality in Teaching Informatics High School on Topic 3.1 The Process of Developing a Teaching Topic 3.2 Realistic Virtual Reality Applying in High School Informatics Education 4 Pedagogical Experiment 4.1 Experimental Purpose 4.2 Experiment Description 4.3 Results and Processing of Pedagogical Experimental Results 4.4 General Assessment of Pedagogical Experiment 5 Conclusion References Adjacent Graph for Some Finite Groups 1 Introduction 2 Preliminaries 3 Adjacent Graphs for Groups and Properties 4 Conclusion 5 Result References Stochastic Inventory Model Using Coxian Distribution with Production and Sales 1 Introduction 2 Assumption 3 Analysis 4 Simulation 5 Conclusion References Dynamics of Infected Prey–Predator System in Fuzzy Environment with Disease-Selective Predation 1 Introduction 2 Preliminaries for Fuzzy Environment 3 Mathematical Model 4 Positivity 5 Boundedness 6 Steady State Analysis 6.1 Equilibria and Their Existence Criteria 6.2 Interpretation of Dynamics of the System 7 Conclusion References An Analysis for Business Development by the Project Management in Moroccan Companies 1 Introduction 2 Are Moroccan Companies Aware of the Project Management Interest in Their Business? 3 Do Moroccan Companies Achieve Their Objectives Within a Project Methodology Structure? 4 What Interest Do Moroccan Companies Have in Project Management Training? 5 Conclusion References Text Region Identification from Natural Scene Images Using Semi-Supervised MSER Method 1 Introduction 2 Mathematically Established for the Localization of the Texts 3 Implementation of Semi-Supervised Technique 4 Data Set Collection and Annotation 5 Detect Text Regions Using Region Detection Method 6 Experimental Result and Analysis 7 Conclusion References Visualization of Audio Files Using Librosa 1 Introduction 2 Literature Review 3 Basic Principles and Applications 4 Proposed Model 5 Result and Analysis 6 Conclusion References Proper Lucky Labeling of Jelly Fish Graph, Cocktail Party Graph and Crown Graph 1 Introduction 2 Preliminaries 2.1 Jelly Fish Graph 2.2 Cocktail Party Graph 2.3 Crown Graph 3 Main Results 3.1 Theorem 3.2 Illustration 3.3 Corollary 3.4 Corollary 3.5 Theorem 3.6 Illustration 3.7 Corollary 3.8 Corollary 3.9 Theorem 3.10 Illustration 3.11 Corollary 3.12 Corollary 4 Conclusion References Topological Indices on Central Graph 1 Introduction 2 Main Results 3 Conclusion References Study of Time-Delayed Fractional Order SEIRV Epidemic Model 1 Introduction 2 Model Formulation 3 Study of Positivity and Boundedness 4 Stability Analysis 5 Numerical Scheme for the SEIRV Model 6 Numerical Simulation 7 Conclusion References Modeling of Teaching–Learning Process of Geometrical LOCI in the Plane with GeoGebra 1 Introduction 2 Basic Tasks for Constructing Loci in GeoGebra 3 GeoGebra as a Tool for Observing and Providing Hints for Geometrical Loci 3.1 Basic Loci 3.2 Using GeoGebra for Solving Complex Loci Problems 3.3 Extension to Analytical Curves 4 Conclusion References Application of Pentagonal Fuzzy Number in CPM and PERT Network with Algorithm 1 Introduction 2 Literature Review 3 Preliminaries 4 Illustration 4.1 Numerical Example 4.2 Modified Dijkstra’s Algorithm: 5 Conclusion and Discussion References Solving Assignment Problem Using Decision Under Uncertainty and Game Theory: A Comparative Approach with Python Coding 1 Introduction 2 Mathematical Formulation of the Assignment Problem 3 New Technique Used for Solving the Assignment Problem 4 Numerical Comparison of Existing Methods with the New Proposed Method 5 Problem Based on Non-Symmetric Matrix 6 Numerical Simulation—Using Python Coding 7 Conclusion References Interval-Valued Fuzzy Dynamic Programming Approach of Capital Budgeting Problem 1 Introduction 2 Preliminaries and Definition 2.1 Fuzzy Set 2.2 Intuitionistic Fuzzy Set 2.3 Trapezoidal Fuzzy Number 2.4 Interval-Valued Trapezoidal Fuzzy Number (IvTrFN) 2.5 Properties of (IVTrFN) 2.6 Ranking Method of IvTrFN 3 DP Approach of Capital Budgeting Problem 3.1 Capital Budgeting Problem 4 Illustrative Example 5 Conclusion References Characterization of Some Standard Graphs Based on the Eccentric Distance Sequence 1 Introduction 2 Preliminaries 3 Main Results 4 Conclusion References A Smart Personal Assistant for Visually Challenged 1 Introduction 2 Literature Survey 3 System Design 3.1 Arduino Nano 3.2 Ultrasonic Sensor 3.3 GPS/GPRS/GSM Module 3.4 Buzzer 3.5 Flat Vibrating Motor 4 Proposed Work 5 Result Analysis 6 Conclusion References F-Index for Some Class of Graphs 1 Introduction 2 Main Results 3 Conclusion References Synchronization of a Modified Colpitts Oscillator with Triangular Wave Non-linearity on Graph 1 Introduction 2 Synchronization of Chaotic System on Graph 3 Synchronization of Modified Colpitts Oscillator on Graph 4 Positiveness of the Solution 5 Conclusion References T-Fuzzy Modular l-Filters in Commutative Lattice Ordered M-Group 1 Introduction 2 Preliminaries 3 T-Fuzzy Modular l-filter in G 4 Conclusion References The Minimum Maximal Mean Boundary Dominating Seidel Energy of a Graph 1 Introduction 2 The Minimum Maximal Mean Boundary Dominating Seidel Energy (MMMBDSE) of Graph 3 Minimum Maximal Mean Boundary Dominating Seidel Energy (MMMBDSE) of Some Standard Graph 4 Conclusion References GSβ-Compactness of Topological Spaces with Grills 1 Introduction 2 Preliminaries 3 GSβ-Com Spaces 4 GSβ-Quasi H Csd Spc and GSβ-Rgl Spc 5 GS-Com Sets Relative to Space 6 Coun GSβ-Com Spaces 7 Future Work 8 Conclusion References Study of Prey-Predator Model Formulation and Stability Analysis 1 Introduction 1.1 Mathematical Modeling 1.2 Novelties of the Work 2 Preliminaries 3 Model Formulation 3.1 Positivity and Boundedness of Proposed Model 4 Stability Analysis 4.1 Equilibrium Points and Existence Criteria 4.2 Local Stability Analysis 5 Numerical Simulation 6 Conclusion References Author Index