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Analysis and Decision Making in Uncertain Systems

  • Book
  • © 2004

Overview

Authors:
  1. Zdzislaw Bubnicki

    1. Institute of Control and Systems Engineering, Wroclaw University of Technology, Wroclaw, Poland

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  • New concepts are presented and developed by the author in a systematic, unified framework, with a unique special emphasis on uncertain control systems
  • Includes supplementary material: sn.pub/extras

Part of the book series: Communications and Control Engineering (CCE)

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Table of contents (15 chapters)

  1. Front Matter

    Pages i-x
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  2. Introduction to Uncertain Systems

    • Zdzislaw Bubnicki
    Pages 1-9

  3. Relational Systems

    • Zdzislaw Bubnicki
    Pages 11-27

  4. Application of Random Variables

    • Zdzislaw Bubnicki
    Pages 29-62

  5. Uncertain Logics and Variables

    • Zdzislaw Bubnicki
    Pages 63-84

  6. Application of Uncertain Variables

    • Zdzislaw Bubnicki
    Pages 85-122

  7. Fuzzy Variables, Analogies and Soft Variables

    • Zdzislaw Bubnicki
    Pages 123-154

  8. Systems with Logical Knowledge Representation

    • Zdzislaw Bubnicki
    Pages 155-168

  9. Dynamical Systems

    • Zdzislaw Bubnicki
    Pages 169-200

  10. Parametric Optimization of Decision Systems

    • Zdzislaw Bubnicki
    Pages 201-223

  11. Stability of Uncertain Dynamical Systems

    • Zdzislaw Bubnicki
    Pages 225-258

  12. Learning Systems

    • Zdzislaw Bubnicki
    Pages 259-282

  13. Complex Problems and Systems

    • Zdzislaw Bubnicki
    Pages 283-311

  14. Complex of Operations

    • Zdzislaw Bubnicki
    Pages 313-338

  15. Pattern Recognition

    • Zdzislaw Bubnicki
    Pages 339-360

  16. Conclusions

    • Zdzislaw Bubnicki
    Pages 361-362

  17. Back Matter

    Pages 363-371
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Keywords

About this book

Problems, methods and algorithms of decision making based on an uncertain knowledge now create a large and intensively developing area in the field of knowledge-based decision support systems. The main aim of this book is to present a unified, systematic description of analysis and decision problems in a wide class of uncertain systems described by traditional mathematical models and by relational knowledge representations. A part of the book is devoted to new original ideas introduced and developed by the author: the concept of uncertain variables and the idea of a learning process consisting in knowledge validation and updating. In a certain sense this work may be considered as an extension of the author's monograph Uncertain Logics, Variables and Systems (Springer-Verlag, 2002). In this book it has been shown how the different descriptions of uncertainty based on random, uncertain and fuzzy variables may be treated uniformly and applied as tools for general analysis and decision problems, and for specific uncertain systems and problems (dynamical control systems, operation systems, knowledge-based pattern recognition under uncertainty, task allocation in a set of multiprocessors with uncertain execution times, and decision making in an assembly system as an example of an uncertain manufacturing system). The topics and the organization of the text are presented in Chapter 1 (Sects 1. 1 and 1. 4). The material presented in the book is self-contained.

Reviews

From the reviews:

This book… belongs to the Communications and Control Engineering series… It is useful for graduate students, researchers and readers interested in control, information and decision in the case of uncertain systems that is to say systems whose description involves any form of uncertainty… Each time it is necessary, basic pre-requisites are given… making the book self contained… It is a very interesting and important contribution…

Kybernetes 35 (2006) 242 – 243 (Reviewer: Robert Vallée)

 

In a nutshell, this research monograph is about uncertainty, its different facets and uncertain systems. It offers a unique and original treatment of uncertainty captured in the form of uncertain variables… Overall, the book is a comprehensive, highly authoritative, and lucidly written research treatise on uncertain systems – highly recommended to all involved in the analysis, design and applications of systems with uncertainty.

Zentralblatt MATH 1103 (2007) 167 (Reviewer: Witold Pedrycz)

 

The aim of the book is to show that different types of uncertainty, when involved in formalizing the various types of systems, can be treated in a unified way. The book deals with both model-based systems and knowledge-based systems… The book is certainly an important contribution to the growing literature in the field of systems science and I highly recommend it to readers of this journal.

International Journal of General Systems 34 (2005) 318 (Reviewer: George J. Klir)

Authors and Affiliations

  • Institute of Control and Systems Engineering, Wroclaw University of Technology, Wroclaw, Poland

    Zdzislaw Bubnicki

About the author

Professor Zdzislaw Bubnicki died on 12th March 2006.

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