Grey Systems: Theory and Applications

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Springer Science & Business Media, Dec 15, 2010 - Technology & Engineering - 379 pages
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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.
 

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Contents

Introduction to Grey Systems Theory
1
Basic Building Blocks
19
Grey Incidence and Evaluations
51
Grey Systems Modeling
106
Discrete Grey Prediction Models
149
Combined Grey Models
169
Grey Models for Decision Making
197
Grey Game Models
224
Grey Control Systems
259
Introduction to Grey Systems Modeling Software
287
Appendix A Interval Analysis and Grey Systems Theory
303
Appendix B Approaches of Uncertainty
314
A General Systems Approach
325
References
351
Index
373
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