This volume is the first of two containing selected papers from the International Conference on Advances in Mathematical Sciences, Vellore, India, December 2017 – Volume I. This meeting brought together researchers from around the world to share their work, with the aim of promoting collaboration as a means of solving various problems in modern science and engineering. The authors of each chapter present a research problem, techniques suitable for solving it, and a discussion of the results obtained. These volumes will be of interest to both theoretical- and application-oriented individuals in academia and industry.
Papers in
Volume I are dedicated to active and open areas of research in algebra, analysis, operations research, and statistics, and those of
Volume II consider differential equations, fluid mechanics, and graph theory.
Table of Content
Part 1: Algebra.- IT-2 Fuzzy Automata and IT-1 Fuzzy Languages.- Level Sets of i_v_Fuzzy β-Subalgebras.-Interval-Valued Fuzzy Subalgebra and Fuzzy INK-Ideal in INK-Algebra.- On Dendrites Generated by Symmetric Polygonal Systems: The Case of Regular Polygons.- Efficient Authentication Scheme Based on Twisted Near-ring Root Extraction Problem.- Dimensionality Reduction Technique to Solve E-Crime Motives.- Partially Ordered Gamma Near-Rings.- Novel Digital Signature Scheme with Multiple Private Keys on Non-Commutative Division Semirings.- Cozero Divisor Graph of a Commutative Rough Semiring.- Gorenstein FI-Flat Complexes and (Pre)Envelopes.- Bounds of Extreme Energy of an Intuitionistic Fuzzy Directed Graph.- Part 2: Analysis.- On Ultra Separation Axioms via αω-open Sets.- Common Fixed Point Theorems in 2-Metric Spaces using Composition of Mappings via A-Contractions.- Coefficient bounds for a Subclass of m-fold Symmetric λ-pseudo Bi-starlike Functions.- Laplacian and Effective Resistance Metric in Sierpinski Gasket Fractal.- Some Properties of Certain Class of Uniformly Convex Functions defined by Bessel Functions.- A New Subclass of Uniformly Convex Functions defined by Linear Operator.- Coefficient Bounds of Bi-univalent Functions using Faber Polynomial.- Convexity of Polynomials using Positivity of Trigonometric Sums.- Local Countable Iterated Function Systems.-On Intuitionistic Fuzzy C-ends.- Generalized Absolute Riesz Summability of Orthogonal Series.- Holder Inequalities for Analytic Functions defined by Ruschewyh-type q-difference Operator.- Fuzzy Cut Sets Based Filter for Fixed-Value Impulse Noise Reduction.- On (p, q)-quantum calculus involving quasi-subordination.- Part 3: Operations Research.- Sensitivity Analysis for Spanning Tree.- On Solving Bi-objective Fuzzy Transportation Problem.- Nonlinear Programming Problem for an M-Design Multi Skill Call Center with Impatience Basedon Queuing Model Method.- Optimizing a Production Inventory Model with Exponential Demand Rate, Exponential Deterioration, and Shortages.- Analysis of Batch Arrival Bulk Service Queuing System with Breakdown, Different Vacation Policies, and Multi Phase Repair.- An Improvement to One’s BCM for the Balanced and Unbalanced Transshipment Problems by Using Fuzzy Numbers.- An Articulation Point Based Approximation Algorithm for Minimum Vertex Cover Problem.- On Bottleneck-Rough Cost Interval Integer Transportation Problems.- Direct Solving Method of Fully Fuzzy Linear Programming Problems with Equality Constraints Having Positive Fuzzy Numbers.- An Optimal Deterministic Two Warehouse Inventory Model for Deteriorating Items.- Analysis on Time to Recruitment in a Three Grade Marketing Organization Having Classified Sources of Depletion of Two Types with an Extended Threshold and Shortage in Manpower forms Geometric Process.- Neutrosophic Assignment Problem via Bn B Algorithm.- Part 4: Statistics.- An Approach to Segment the Hippocampus from T2-Weighted MRI of Human Head Scans for the Diagnosis of Alzheimer’s Disease Using Fuzzy C-Means Clustering.- Analysis of M^[X]/G_k/1 Retrial Queuing Model and Stand-by.- μ-Statistically Convergent Mutliple Sequences in Probabilistic Normed Spaces.- A Retrial Queuing Model with Unreliable Server in K Policy.- Two Level Control Policy of an Unreliable Queuing System with Queue Size Dependent Vacation and Vacation Disruption.- Analysis of M/G/1 Priority Retrial G-Queue with Bernoulli Working Vacations.- Time to Recruitment for Organizations having n Types of Policy Decisions with Lag Period for Non-Ideal Wastages.- A Novice’s Application of Soft Expert Set: A Case Study on Students’ Course Registration.- Dynamics of Stochastic SIRS Model.- Steady State Analysis of Unreliable Preemptive Priority Retrial Queue with Feedback, Two Phase Service under Bernoulli Vacation.- An Unrealizable Optional Stage M^X/G/1 Retrial Queue with Immediate Feedbacks and at most J Vacations.- Weibull Estimates in Reliability – An Order Statistics Approach.- Intuitionistic Fuzzy ANOVA and Its Application using Different Techniques.- A Resolution to Stock Prices Prediction by Developing ANN based Models using PCA.- A Novel Method of Solving Quadratic Programming Problem under Stochastic Conditions.
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