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Advances in Algebra and Analysis I by V Madhu, A Manimaran, D Easwaramoorthy, D Kalpanapriya, M Mubashir Unnissa
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**About this book :- **
**Advances in Algebra and Analysis I ** written by
** V Madhu, A Manimaran, D Easwaramoorthy, D Kalpanapriya, M Mubashir Unnissa **

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

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.

**Book Detail :- **
** Title: ** Advances in Algebra and Analysis I
** Edition: **
** Author(s): ** V Madhu, A Manimaran, D Easwaramoorthy, D Kalpanapriya, M Mubashir Unnissa
** Publisher: ** Springer International Publishing;Birkhäuser
** Series: ** Trends in Mathematics
** Year: ** 2018
** Pages: ** 473
** Type: ** PDF
** Language: ** English
** ISBN: ** 978-3-030-01119-2,978-3-030-01120-8
** Country: ** India

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**About Author :- **

Author ** V. Madhu **, Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore, Tamil Nadu, India

Author ** A. Manimaran **, Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore, Tamil Nadu, India

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**Book Contents :- **
**Advances in Algebra and Analysis I ** written by
** V Madhu, A Manimaran, D Easwaramoorthy, D Kalpanapriya, M Mubashir Unnissa **
cover the following topics.
**Part I Algebra**

IT-2 Fuzzy Automata and IT-2 Fuzzy Languages

Level Sets of i_v_Fuzzy ß-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 the 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 II Analysis**

On Ultra Separation Axioms via a?-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 ?-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’s Inequalities for Analytic Functions Defined by Ruscheweyh-Type q-Difference Operator

Fuzzy Cut Set-Based Filter for Fixed-Value Impulse Noise Reduction

On (p, q)-Quantum Calculus Involving Quasi-Subordination
**Part III 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 Based on Queueing Model Method

Optimizing a Production Inventory Model with Exponential Demand Rate, Exponential Deterioration and Shortages

Analysis of Batch Arrival Bulk Service Queueing System with

Breakdown, Different Vacation Policies and Multiphase 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 BnB Algorithm

**Part IV Statistics**

An Approach to Segment the Hippocampus from T 2-Weighted MRI of Human Head Scans for the Diagnosis of Alzheimer’s

Disease Using Fuzzy C-Means Clustering

Analysis of M[X]/Gk/1 Retrial Queueing Model and Standby

µ-Statistically Convergent Multiple Sequences in Probabilistic Normed Spaces

A Retrial Queuing Model with Unreliable Server in K Policy

Two-Level Control Policy of an Unreliable Queueing 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 Organisations having n Types of Policy Decisions with Lag Period for Non-identical 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 and Two-Phase Service Under Bernoulli Vacation

An Unreliable Optional Stage MX/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 a Quadratic Programming Problem Under Stochastic Conditions

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