Grey Systems

Theory and Applications

  • Sifeng Liu
  • Yi Lin

Part of the Understanding Complex Systems book series (UCS, volume 68)

Table of contents

  1. Front Matter
  2. Sifeng Liu, Yi Lin
    Pages 1-18
  3. Sifeng Liu, Yi Lin
    Pages 19-49
  4. Sifeng Liu, Yi Lin
    Pages 51-105
  5. Sifeng Liu, Yi Lin
    Pages 107-148
  6. Sifeng Liu, Yi Lin
    Pages 149-168
  7. Sifeng Liu, Yi Lin
    Pages 169-195
  8. Sifeng Liu, Yi Lin
    Pages 197-223
  9. Sifeng Liu, Yi Lin
    Pages 225-258
  10. Sifeng Liu, Yi Lin
    Pages 259-285
  11. Sifeng Liu, Yi Lin
    Pages 287-302
  12. Back Matter

About this book

Introduction

Due to inherent limitations in human sensing organs, most data collected for various purposes contain uncertainties. Even at the rare occasions when accurate data are available, the truthful predictions derived on the data tend to create chaotic consequences. So, to effectively process and make sense out of available data, we need methods to deal with uncertainty inherently existing inside the data. The intent of this monograph is to explore the fundamental theory, methods, and techniques of practical application of grey systems theory, initiated by Professor Deng Julong in 1982. This volume presents most of the recent advances of the theory accomplished by scholars from around the world. From studying this book, the reader will not only acquire an overall knowledge of this new theory but also be able to follow the most current research activities. All examples presented are based on practical applications of the theory when urgent real-life problems had to be addressed. Last but not the least, this book concludes with three appendices. The first one compares grey systems theory and interval analysis while revealing the fact that interval analysis is a part of grey mathematics. The second appendix presents an array of different approaches of studying uncertainties. And, the last appendix shows how uncertainties appear using general systems approach.

Keywords

Buffer Operator Grey Cluster Evaluation Grey Incidence Analysis Grey Number Grey System

Authors and affiliations

  • Sifeng Liu
    • 1
  • Yi Lin
    • 2
  1. 1.College of Economics and Management ScienceNanjing University of Aeronautics and AstronauticsNanjingP.R. China
  2. 2.Department of MathematicsSlippery Rock UniversitySlippery RockUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-16158-2
  • Copyright Information Springer Berlin Heidelberg 2011
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Physics and Astronomy
  • Print ISBN 978-3-642-16157-5
  • Online ISBN 978-3-642-16158-2
  • Series Print ISSN 1860-0832
  • Series Online ISSN 1860-0840
  • About this book