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Synergies in Analysis, Discrete Mathematics, Soft Computing and Modelling

  • Book
  • © 2023

Overview

Editors:
  1. P. V. Subrahmanyam

    1. Department of Mathematics, Indian Institute of Technology Madras, Chennai, India

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  2. V. Antony Vijesh

    1. Department of Mathematics, Indian Institute of Technology Indore, Indore, India

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  3. Balasubramaniam Jayaram

    1. Department of Mathematics, Indian Institute of Technology Hyderabad, Kandi, India

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  4. Prakash Veeraraghavan

    1. Department of Computer Science and Information Technology, La Trobe University, Melbourne, Australia

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  • Contains chapters mathematical analysis and modeling, discrete mathematics, and fuzzy sets and soft computing
  • Focuses on topics in interdisciplinary areas of computational, mathematical, statistical, and physical sciences
  • Includes only peer-reviewed invited papers and survey articles

Part of the book series: Forum for Interdisciplinary Mathematics (FFIM)

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Table of contents (14 chapters)

  1. Front Matter

    Pages i-x
    Download chapter PDF

  2. The Second- and Third-Order Hermitian Toeplitz Determinants for Some Subclasses of Analytic Functions Associated with Exponential Function

    • P. Gurusamy, R. Jayasankar, S. Sivasubramanian
    Pages 1-16

  3. Some Results on a Starlike Class with Respect to (j, m)-Symmetric Functions

    • K. Renuka Devi, S. Sivasubramanian, Hamid Shamsan, S. Latha
    Pages 17-26

  4. Experimental Evaluation of Four Intermediate Filters to Improve the Motion Field Estimation

    • Vanel Lazcano, Claudio Isa-Mohor
    Pages 27-41

  5. On the \(s\textrm{th}\) Derivative of a Polynomial

    • Barchand Chanam, Kshetrimayum Krishnadas
    Pages 43-50

  6. On the Problem of Pricing a Double Barrier Option in a Modified Black-Scholes Environment

    • G. Venkiteswaran, S. Udayabaskaran
    Pages 51-81

  7. Caputo Sequential Fractional Differential Equations with Applications

    • Aghalaya S. Vatsala, Govinda Pageni
    Pages 83-102

  8. Herscovici’s Conjecture on Product of Some Complete Bipartite Graphs

    • A. Lourdusamy, S. Saratha Nellainayaki
    Pages 103-109

  9. On Fault-Tolerant Metric Dimension of Heptagonal Circular Ladder and Its Related Graphs

    • Sunny Kumar Sharma, Vijay Kumar Bhat
    Pages 111-122

  10. BKS Fuzzy Inference Employing h-Implications

    • Sayantan Mandal, Balasubramaniam Jayaram
    Pages 123-138

  11. Note on Distributivity of Different String Operations Over Language Sets

    • Kalpana Mahalingam, Ujjwal Kumar Mishra, Rama Raghavan
    Pages 139-149

  12. A Generalization of \(\chi \)-Binding Functions

    • M. A. Shalu, T. P. Sandhya
    Pages 151-161

  13. A Short Proof of Ore’s f-Factor Theorem Using Flows

    • Sriraman Sridharan, Patrick Vilamajó
    Pages 163-169

  14. A Decision-Making Problem Involving Soft Fuzzy Number Valued Information System: Energy-Efficient Light-Emitting Diode Blubs

    • Felbin C. Kennedy, S. Masilla Moses Kennedy, S. Arul Roselet Meryline, M. Jayachandiran
    Pages 171-204

  15. Role of Single Valued Linear Octagonal Neutrosophic Numbers in Multi-attribute Decision-Making Problems

    • S. Subasri, S. Arul Roselet Meryline, Felbin C. Kennedy
    Pages 205-221
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Keywords

About this book

This book contains select papers on mathematical analysis and modeling, discrete mathematics, fuzzy sets, and soft computing. All the papers were presented at the international conference on FIM28-SCMSPS20 virtually held at Sri Sivasubramaniya Nadar (SSN) College of Engineering, Chennai, India, and Stella Maris College (Autonomous), Chennai, from November 23–27, 2020. The conference was jointly held with the support of the Forum for Interdisciplinary Mathematics. Both the invited articles and submitted papers were broadly grouped under three heads: Part 1 on analysis and modeling (six chapters), Part 2 on discrete mathematics and applications (six chapters), and Part 3 on fuzzy sets and soft computing (three chapters).

Editors and Affiliations

  • Department of Mathematics, Indian Institute of Technology Madras, Chennai, India

    P. V. Subrahmanyam

  • Department of Mathematics, Indian Institute of Technology Indore, Indore, India

    V. Antony Vijesh

  • Department of Mathematics, Indian Institute of Technology Hyderabad, Kandi, India

    Balasubramaniam Jayaram

  • Department of Computer Science and Information Technology, La Trobe University, Melbourne, Australia

    Prakash Veeraraghavan

About the editors

P.V. Subrahmanyam is Former Professor and Head of the Department of Mathematics at the Indian Institute of Technology Madras (IIT Madras), India. He received his Ph.D. in Mathematics from the IIT Madras, for his dissertation on “Topics in Fixed-Point Theory” under the supervision of (late) Dr. V. Subba Rao. He received his M.Sc. degree in Mathematics from the IIT Madras and B.Sc. degree in Mathematics from Madras University. He has held several important administrative positions, such as Senior Professor and Head of the Department of Mathematics at the IIT Madras; Founder and Head of the Department of Mathematics at the Indian Institute of Technology Hyderabad (IIT Hyderabad); Executive Chairman of the Association of Mathematics Teachers of India (AMTI); President of the Forum for Interdisciplinary Mathematics (FIM); and then Chief Editor of the Forum for Interdisciplinary Mathematics (Springer book series). Before joining the IIT Madras, he served as Faculty Member at Loyola College, Madras University, and Hyderabad Central University. His areas of interest include classical analysis, nonlinear analysis and fixed-point theory, fuzzy set theory, functional equations, and mathematics education. He has published over 70 papers and served on the editorial board of the Journal of Analysis and the Journal of Differential Equations and Dynamical Systems. He received an award for his outstanding contributions to mathematical sciences in 2004 and the Lifetime Achievement Award from the FIM in 2016. He has given various invited talks at international conferences and completed brief visiting assignments in many countries such as Canada, Czech Republic, Germany, Greece, Japan, Slovak Republic, and the USA. He is also Life Member of the Association of Mathematics Teachers of India, FIM, Indian Mathematical Society, and the Society for Industrial and Applied Mathematics (SIAM).


Anthony Vijesh is Associate Professor at the Department ofMathematics at the IIT Indore, India. He received his Ph.D. in Mathematics from the IIT Madras. His research areas include numerical analysis, operator theory, and differential equations. He has published 25 peer-reviewed papers in various reputed journals in mathematics. He has so far guided four students successfully for their Ph.D. degree.


Balasubramaniam Jayaram is Professor at the Department of Mathematics at the IIT Hyderabad, India. His main areas of research interest are in approximate reasoning and high-dimensional data analysis. He is on the editorial board of many journals, including IEEE Transactions on Fuzzy Systems, Fuzzy Sets and Systems and International Journal of Approximate Reasoning. He has co-authored a research monograph on Fuzzy Implications and is Author of more than 80 published papers in refereed international journals and conferences. He is also Experienced Research Fellow of the Alexander von Humboldt Foundation.


Prakash Veeraraghavan is Associate Professor at the Department of Computer Science and Information Technology, La Trobe University, Melbourne, Australia. He received his Ph.D. in Mathematics from the IIT Chennai, India. He has more than 25 years of teaching, research, and industry experience. His research interest includes mathematical modeling, graph algorithms, optimization, network protocols and system security, and various areas of cybersecurity. He has published more than 120 papers in various top international conferences and reputable journals. He held a patent on software engineering.

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