Grey Systems

1. Front Matter

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2. Introduction to Grey Systems Theory

   • Sifeng Liu, Yi Lin

   Pages 1-18

3. Basic Building Blocks

   • Sifeng Liu, Yi Lin

   Pages 19-49

4. Grey Incidence and Evaluations

   • Sifeng Liu, Yi Lin

   Pages 51-105

5. Grey Systems Modeling

   • Sifeng Liu, Yi Lin

   Pages 107-148

6. Discrete Grey Prediction Models

   • Sifeng Liu, Yi Lin

   Pages 149-168

7. Combined Grey Models

   • Sifeng Liu, Yi Lin

   Pages 169-195

8. Grey Models for Decision Making

   • Sifeng Liu, Yi Lin

   Pages 197-223

9. Grey Game Models

   • Sifeng Liu, Yi Lin

   Pages 225-258

10. Grey Control Systems

    • Sifeng Liu, Yi Lin

    Pages 259-285

11. Introduction to Grey Systems Modeling Software

    • Sifeng Liu, Yi Lin

    Pages 287-302

12. Back Matter

    PDF

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.

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

From the reviews:

“The purpose of this monograph is to collect the most recent advances accomplished by scientists from around the world … . This meticulous work is based on an extensive bibliography that is converted into a very valuable reference book by a careful topic selection and by the significance of applications and examples. The book is highly recommended to graduate students or high-level undergraduate students and to any other scientists or professionals in areas of science, technology, agriculture, medicine, astronomy, earth science, economics, and management.” (Mihail Voicu, Zentralblatt MATH, Vol. 1222, 2011)

• College of Economics and Management Science, Nanjing University of Aeronautics and Astronautics, Nanjing, P.R. China

  Sifeng Liu

• Department of Mathematics, Slippery Rock University, Slippery Rock, USA

  Yi Lin

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