Studies in Fuzziness and Soft Computing

Elements of Generalized Information Theory

By: George Klir, Mark Wierman

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Hardcover | 19 October 1999 | Edition Number 2

At a Glance

Hardcover
196 Pages

Edition Type
Revised

Dimensions(cm)
24.13 x 16.51 x 1.27

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Information is precious. It reduces our uncertainty in making decisions. Knowledge about the outcome of an uncertain event gives the possessor an advantage. It changes the course of lives, nations, and history itself. Information is the food of Maxwell's demon. His power comes from know ing which particles are hot and which particles are cold. His existence was paradoxical to classical physics and only the realization that information too was a source of power led to his taming. Information has recently become a commodity, traded and sold like or ange juice or hog bellies. Colleges give degrees in information science and information management. Technology of the computer age has provided access to information in overwhelming quantity. Information has become something worth studying in its own right. The purpose of this volume is to introduce key developments and results in the area of generalized information theory, a theory that deals with uncertainty-based information within mathematical frameworks that are broader than classical set theory and probability theory. The volume is organized as follows.

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Preface
Acknowledgements
List of Figures
List of Tables
List of Symbols
Introduction	p. 1
Significant of Uncertainty	p. 2
Uncertainty and Information	p. 5
Uncertainty Formalizations	p. 7
Classical Sets: Terminology and Notation	p. 8
Fuzzy Set Theory	p. 10
Fuzzy Measure Theory	p. 21
Evidence Theory	p. 22
Probability Theory	p. 30
Possibility Theory	p. 32
Overview of Uncertainty Theories	p. 40
Uncertainty Measures	p. 43
Nonspecificity	p. 44
Conflict	p. 67
Aggregate Uncertainty in Evidence Theory	p. 87
Fuzziness	p. 100
Summary of Uncertainty Measures	p. 104
Principles of Uncertainty	p. 107
Principle of Minimum Uncertainty	p. 107
Principle of Maximum Uncertainty	p. 110
Principle of Uncertainty Invariance	p. 118
Summary of Uncertainty Principles	p. 131
Conclusions	p. 135
Appraisal of Current Results	p. 135
Unresolved Problems	p. 137
Future Directions	p. 139
Uniqueness of the U-Uncertainty	p. 141
Bibliography	p. 147
Index	p. 165
Table of Contents provided by Blackwell. All Rights Reserved.

Studies in Fuzziness and Soft Computing

Elements of Generalized Information Theory

At a Glance

Hardcover

Shipping

How to return your order

Defective items

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