Grey Systems - Theory and Applications

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.

List of contents

Introduction to Grey Systems Theory.- Basic Building Blocks.- Grey Incidence and Evaluations.- Grey Systems Modeling.- Discrete Grey Prediction Models.- Combined Grey Models.- Grey Models for Decision Making.- Grey Game Models.- Grey Control Systems.- Introduction to the Software of Grey Systems Modeling.- Appendix A: Interval Analysis and Grey Systems Theory.- Appendix B: Approaches of Uncertainty.- Appendix C: How Uncertainties Appear: A General Systems Approach.

Summary

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.

Additional text

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)

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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)

Product details

• Authors: Jeffrey Yi Lin Forrest, Jeffrey Yi-Lin Forrest, Yi Lin, Sifen Liu, Sifeng Liu
• Publisher: Springer, Berlin
• Languages: English
• Product format: Hardback
• Released: 14.01.2011
• EAN: 9783642161575
• ISBN: 978-3-642-16157-5
• No. of pages: 379
• Weight: 726 g
• Illustrations: XX, 379 p.
• Series: Understanding Complex Systems; Springer Complexity; Understanding Complex Systems; Springer Complexity
• Subject: Natural sciences, medicine, IT, technology > Technology > General, dictionaries