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Grey Information

Theory and Practical Applications

  • Book
  • © 2006

Overview

Authors:
  1. Sifeng Liu

    1. College of Economics and Management, Nanjang University of Aeronautics and Astronautics, Nanjing, China

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  2. Yi Lin

    1. Department of Mathematics, Slippery Rock University, Slippery Rock, USA

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    You can also search for this author in PubMed   Google Scholar

  • Provides a comprehensive and effective demonstration, centred on problem solving of fundamental concepts of grey systems theory through extensive use of real-life examples
  • Covers all major areas of study of grey systems theory; after basic concepts are introduced, the reader is eased into specific example problems
  • Direct and friendly writing style keeps readers from graduate level and researchers to field practitioners in mind at all times
  • Offers an adaptable self-instructional format and a myriad of motivational scenarios to stimulate reader’s interest of learning and deepen understanding
  • A complete list of references will keep the reader in pace with the most recent development in the field
  • Examples of practical applications throughout, show the reader how each idea, concept and theorem have been applied to resolve a real-life problem

Part of the book series: Advanced Information and Knowledge Processing (AI&KP)

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Table of contents (13 chapters)

  1. Front Matter

    Pages i-xii
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  2. Introduction

    Pages 1-21

  3. Grey Numbers and Their Operations

    Pages 23-43

  4. Grey Equations and Grey Matrices

    Pages 45-56

  5. Generation of Grey Sequences

    Pages 57-84

  6. Grey Incidence Analysis

    Pages 85-138

  7. Grey Clusters and Grey Statistical Evaluations

    Pages 139-189

  8. Grey Systems Modeling

    Pages 191-243

  9. Grey Combined Models

    Pages 245-273

  10. Grey Prediction

    Pages 275-314

  11. Grey Decisions

    Pages 315-366

  12. Grey Programming

    Pages 367-413

  13. Grey Input and Output

    Pages 415-443

  14. Grey Control

    Pages 445-470

  15. Back Matter

    Pages 471-508
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Keywords

About this book

Rapid formation and development of new theories of systems science have become an important part of modern science and technology. For - ample, since the 1940s, there have appeared systems theory, information theory, fuzzy mathematics, cybernetics, dissipative structures, synergetics, catastrophe theory, chaos theory, bifurcations, ultra circulations, dynamics, and many other systems theories. Grey systems theory is also one of such systems theories that appeared initially in the 1980s. When the research of systems science and the method and technology of systems engineering are applied in various traditional disciplines, such as management science, decision science, and various scienti?c disciplines, a whole new group of new results and breakthroughs are obtained. Such a historical background has provided the environment and soil for grey systems theory to form and to develop rapidly in the past 20-plus years. More speci?cally, in 1982, Professor Deng Ju-Long published the ?rst research paper in the area of grey systems in the international journal entitled Systems and Control Letters, published by North-Holland Co. His paper was titled “Control Problems of Grey Systems. ” The publication of this paper signalled the birth of grey systems theory after many years of e ective research of the founding father. This new theory soon caught the attention of the international academic community and practitioners of science. Many well-known scholars, such as Chinese academicians Qian Xueshen, Song Jian, and Zhang Zhongjun. Professor Roger W.



Reviews

From the reviews:

"I am much interested and impressed by Dr. Sifeng Liu and Dr. Yi Lin’s recently published monograph on grey information, dealing with the theory and practical applications. … It is a comprehensive, all-in-one exposition, detailing not only with the theoretical foundation but also real-life applications. Because of this characteristic of quality and usefulness, Liu and Lin’s book possesses the value of the widest possible range of reference by the workers and practitioners from all concerns of natural and social sciences and technology." (Robert Vallée, Kybernetes, Vol. 37 (1), 2008)

Authors and Affiliations

  • College of Economics and Management, Nanjang University of Aeronautics and Astronautics, Nanjing, China

    Sifeng Liu

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

    Yi Lin

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