Grey systems : theory and applications / Sifeng Liu and Yi-Lin.

Format:

Book

Contributor:

Liu, Sifeng.

Forrest, Jeffrey Yi-Lin, 1959-

Series:

Understanding complex systems.

Springer complexity.

Understanding complex systems, 1860-0832

Springer complexity

Language:

English

Subjects (All):

System theory--Mathematical models.

System theory.

System theory--Textbooks.

Physical Description:

1 online resource (XX, 379 p.)

Edition:

1st ed. 2011.

Place of Publication:

Berlin : Springer, 2010.

Language Note:

English

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.

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.

Notes:

Bibliographic Level Mode of Issuance: Monograph

Includes bibliographical references and index.

ISBN:

3-642-16158-8