Advances in Algebra and Analysis: International Conference on Advances in Mathematical Sciences, Vellore, India, December 2017 - Volume I (Trends in Mathematics Book 1)

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. Front Matter ....Pages i-xviii Front Matter ....Pages 1-1 IT-2 Fuzzy Automata and IT-2 Fuzzy Languages (M. K. Dubey, Priyanka Pal, S. P. Tiwari)....Pages 3-11 Level Sets of i_v_Fuzzy β-Subalgebras (P. Hemavathi, K. Palanivel)....Pages 13-18 Interval-Valued Fuzzy Subalgebra and Fuzzy INK-Ideal in INK-Algebra (M. Kaviyarasu, K. Indhira, V. M. Chandrasekaran, Jacob Kavikumar)....Pages 19-25 On Dendrites Generated by Symmetric Polygonal Systems: The Case of Regular Polygons (Mary Samuel, Dmitry Mekhontsev, Andrey Tetenov)....Pages 27-35 Efficient Authentication Scheme Based on the Twisted Near-Ring Root Extraction Problem (V. Muthukumaran, D. Ezhilmaran, G. S. G. N. Anjaneyulu)....Pages 37-42 Dimensionality Reduction Technique to Solve E-Crime Motives (R. Aarthee, D. Ezhilmaran)....Pages 43-48 Partially Ordered Gamma Near-Rings (T. Nagaiah)....Pages 49-56 Novel Digital Signature Scheme with Multiple Private Keys on Non-commutative Division Semirings (G. S. G. N. Anjaneyulu, B. Davvaz)....Pages 57-65 Cozero Divisor Graph of a Commutative Rough Semiring (B. Praba, A. Manimaran, V. M. Chandrasekaran, B. Davvaz)....Pages 67-75 Gorenstein FI-Flat Complexes and (Pre)envelopes (V. Biju)....Pages 77-83 Bounds of Extreme Energy of an Intuitionistic Fuzzy Directed Graph (B. Praba, G. Deepa, V. M. Chandrasekaran, Krishnamoorthy Venkatesan, K. Rajakumar)....Pages 85-93 Front Matter ....Pages 95-95 On Ultra Separation Axioms via αω-Open Sets (M. Parimala, Cenap Ozel, R. Udhayakumar)....Pages 97-102 Common Fixed Point Theorems in 2-Metric Spaces Using Composition of Mappings via A-Contractions (J. Suresh Goud, P. Rama Bhadra Murthy, Ch. Achi Reddy, K. Madhusudhan Reddy)....Pages 103-110 Coefficient Bounds for a Subclass of m-Fold Symmetric λ-Pseudo Bi-starlike Functions (Jay M. Jahangiri, G. Murugusundaramoorthy, K. Vijaya, K. Uma)....Pages 111-120 Laplacian and Effective Resistance Metric in Sierpinski Gasket Fractal (P. Uthayakumar, G. Jayalalitha)....Pages 121-129 Some Properties of Certain Class of Uniformly Convex Functions Defined by Bessel Functions (V. Srinivas, P. Thirupathi Reddy, H. Niranjan)....Pages 131-139 A New Subclass of Uniformly Convex Functions Defined by Linear Operator (A. Narasimha Murthy, P. Thirupathi Reddy, H. Niranjan)....Pages 141-149 Coefficient Bounds of Bi-univalent Functions Using Faber Polynomial (T. Janani, S. Yalcin)....Pages 151-159 Convexity of Polynomials Using Positivity of Trigonometric Sums (Priyanka Sangal, A. Swaminathan)....Pages 161-168 Local Countable Iterated Function Systems (A. Gowrisankar, D. Easwaramoorthy)....Pages 169-175 On Intuitionistic Fuzzy \(\mathcal {C}\)-Ends (T. Yogalakshmi, Oscar Castillo)....Pages 177-184 Generalized Absolute Riesz Summability of Orthogonal Series (K. Kalaivani, C. Monica)....Pages 185-194 Holder’s Inequalities for Analytic Functions Defined by Ruscheweyh-Type q-Difference Operator (N. Mustafa, K. Vijaya, K. Thilagavathi, K. Uma)....Pages 195-204 Fuzzy Cut Set-Based Filter for Fixed-Value Impulse Noise Reduction (P. S. Eliahim Jeevaraj, P. Shanmugavadivu, D. Easwaramoorthy)....Pages 205-213 On (p, q)-Quantum Calculus Involving Quasi-Subordination (S. Kavitha, Nak Eun Cho, G. Murugusundaramoorthy)....Pages 215-223 Front Matter ....Pages 225-225 Sensitivity Analysis for Spanning Tree (K. Kavitha, D. Anuradha)....Pages 227-232 On Solving Bi-objective Fuzzy Transportation Problem (V. E. Sobana, D. Anuradha)....Pages 233-242 Nonlinear Programming Problem for an M-Design Multi-Skill Call Center with Impatience Based on Queueing Model Method (K. Banu Priya, P. Rajendran)....Pages 243-251 Optimizing a Production Inventory Model with Exponential Demand Rate, Exponential Deterioration and Shortages (M. Dhivya Lakshmi, P. Pandian)....Pages 253-260 Analysis of Batch Arrival Bulk Service Queueing System with Breakdown, Different Vacation Policies, and Multiphase Repair (M. Thangaraj, P. Rajendran)....Pages 261-269 An Improvement to One’s BCM for the Balanced and Unbalanced Transshipment Problems by Using Fuzzy Numbers (Kirtiwant P. Ghadle, Priyanka A. Pathade, Ahmed A. Hamoud)....Pages 271-279 An Articulation Point-Based Approximation Algorithm for Minimum Vertex Cover Problem (Jayanth Kumar Thenepalle, Purusotham Singamsetty)....Pages 281-289 On Bottleneck-Rough Cost Interval Integer Transportation Problems (A. Akilbasha, G. Natarajan, P. Pandian)....Pages 291-299 Direct Solving Method of Fully Fuzzy Linear Programming Problems with Equality Constraints Having Positive Fuzzy Numbers (C. Muralidaran, B. Venkateswarlu)....Pages 301-308 An Optimal Deterministic Two-Warehouse Inventory Model for Deteriorating Items (K. Rangarajan, K. Karthikeyan)....Pages 309-314 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 (S. Poornima, B. Esther Clara)....Pages 315-321 Neutrosophic Assignment Problem via BnB Algorithm (S. Krishna Prabha, S. Vimala)....Pages 323-330 Front Matter ....Pages 331-331 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 (T. Genish, K. Prathapchandran, S. P. Gayathri)....Pages 333-342 Analysis of M[X]/Gk/1 Retrial Queueing Model and Standby (J. Radha, K. Indhira, V. M. Chandrasekaran)....Pages 343-352 μ-Statistically Convergent Multiple Sequences in Probabilistic Normed Spaces (Rupam Haloi, Mausumi Sen)....Pages 353-360 A Retrial Queuing Model with Unreliable Server in K Policy (M. Seenivasan, M. Indumathi)....Pages 361-372 Two-Level Control Policy of an Unreliable Queueing System with Queue Size-Dependent Vacation and Vacation Disruption (S. P. Niranjan, V. M. Chandrasekaran, K. Indhira)....Pages 373-382 Analysis of M/G/1 Priority Retrial G-Queue with Bernoulli Working Vacations (P. Rajadurai, M. Sundararaman, Sherif I. Ammar, D. Narasimhan)....Pages 383-391 Time to Recruitment for Organisations Having n Types of Policy Decisions with Lag Period for Non-identical Wastages (Manju Ramalingam, B. Esther Clara)....Pages 393-405 A Novice’s Application of Soft Expert Set: A Case Study on Students’ Course Registration (Selva Rani B, Ananda Kumar S)....Pages 407-414 Dynamics of Stochastic SIRS Model (R. Rajaji)....Pages 415-423 Steady-State Analysis of Unreliable Preemptive Priority Retrial Queue with Feedback and Two-Phase Service Under Bernoulli Vacation (S. Yuvarani, M. C. Saravanarajan)....Pages 425-435 An Unreliable Optional Stage MX∕G∕1 Retrial Queue with Immediate Feedbacks and at most J Vacations (M. Varalakshmi, P. Rajadurai, M. C. Saravanarajan, V. M. Chandrasekaran)....Pages 437-445 Weibull Estimates in Reliability: An Order Statistics Approach (V. Sujatha, S. Prasanna Devi, V. Dharanidharan, Krishnamoorthy Venkatesan)....Pages 447-455 Intuitionistic Fuzzy ANOVA and Its Application Using Different Techniques (D. Kalpanapriya, M. Mubashir Unnissa)....Pages 457-468 A Resolution to Stock Price Prediction by Developing ANN-Based Models Using PCA (Jitendra Kumar Jaiswal, Raja Das)....Pages 469-478 A Novel Method of Solving a Quadratic Programming Problem Under Stochastic Conditions (S. Sathish, S. K. Khadar Babu)....Pages 479-485 "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." -- Prové de l'editor