Analysis and Decision Making in Uncertain Systems

ISBN-13: 9781852337728 / Angielski / Twarda / 2004 / 371 str.

Zdzisaw Bubnicki; Z. Bubnicki

Opis

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.

Recenzje

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)

Spis treści

1 Introduction to Uncertain Systems.- 2 Relational Systems.- 3 Application of Random Variables.- 4 Uncertain Logics and Variables.- 5 Application of Uncertain Variables.- 6 Fuzzy Variables, Analogies and Soft Variables.- 7 Systems with Logical Knowledge Representation.- 8 Dynamical Systems.- 9 Parametric Optimization of Decision Systems.- 10 Stability of Uncertain Dynamical Systems.- 11 Learning Systems.- 12 Complex Problems and Systems.- 13 Complex of Operations.- 14 Pattern Recognition.- Conclusions.- References.

O autorze

Professor Zdzislaw Bubnicki died on 12th March 2006.

Blurb

A unified and systematic description of analysis and decision problems within a wide class of uncertain systems, described by traditional mathematical methods and by relational knowledge representations.

With special emphasis on uncertain control systems, Professor Bubnicki gives you a unique approach to formal models and design (including stabilization) of uncertain systems, based on uncertain variables and related descriptions.

• Introduction and development of original concepts of uncertain variables and a learning process consisting of knowledge validation and updating.

• Examples concerning the control of manufacturing systems, assembly processes and task distributions in computer systems indicate the possibilities of practical applications and approaches to decision making in uncertain systems.

• Includes special problems such as recognition and control of operations under uncertainty.

• Self-contained.

If you are interested in problems of uncertain control and decision support systems, this will be a valuable addition to your bookshelf. Written for researchers and students in the field of control and information science, this book will also benefit designers of information and control systems.