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Recent Advances in Applications of Computational and Fuzzy Mathematics

  • Snehashish Chakraverty
  • Sanjeewa Perera

Table of contents

  1. Front Matter
    Pages i-xii
  2. P. Karunakar, Snehashish Chakraverty
    Pages 1-22
  3. S. K. Jeswal, Snehashish Chakraverty
    Pages 23-46
  4. N. R. Mahato, Snehashish Chakraverty, L. Jaulin
    Pages 47-73
  5. S. K. Jena, Snehashish Chakraverty
    Pages 95-107
  6. H. O. W. Peiris, Sanjeewa Perera, Snehashish Chakraverty, S. M. W. Ranwala
    Pages 109-145
  7. I. T. S. Piyatilake, Sanjeewa Perera
    Pages 147-178

About this book

Introduction

This book addresses the basics of interval/fuzzy set theory, artificial neural networks (ANN) and computational methods. It presents step-by-step modeling for application problems along with simulation and numerical solutions.

In general, every science and engineering problem is inherently biased by uncertainty, and there is often a need to model, solve and interpret problems in the world of uncertainty. At the same time, exact information about models and parameters of practical applications is usually not known and precise values do not exist.

This book discusses uncertainty in both data and models. It consists of seven chapters covering various aspects of fuzzy uncertainty in application problems, such as shallow water wave equations, static structural problems, robotics, radon diffusion in soil, risk of invasive alien species and air quality quantification. These problems are handled by means of advanced computational and fuzzy theory along with machine intelligence when the uncertainties involved are fuzzy. The proposed computational methods offer new fuzzy computing methods that help other areas of knowledge construction where inexact information is present.

Keywords

Applications of Fuzzy Mathematics Interval Modeling Computational methods Uncertainty

Editors and affiliations

  • Snehashish Chakraverty
    • 1
  • Sanjeewa Perera
    • 2
  1. 1.Department of MathematicsNational Institute of Technology RourkelaRourkelaIndia
  2. 2.Research & Development Centre for Mathematical Modeling, Faculty of ScienceUniversity of ColomboColomboSri Lanka

Bibliographic information

  • DOI https://doi.org/10.1007/978-981-13-1153-6
  • Copyright Information Springer Nature Singapore Pte Ltd. 2018
  • Publisher Name Springer, Singapore
  • eBook Packages Computer Science
  • Print ISBN 978-981-13-1152-9
  • Online ISBN 978-981-13-1153-6
  • Buy this book on publisher's site