Uncertainty and Information: Foundations of Generalized Information Theory (Google eBook)
Deal with information and uncertainty properly and efficiently using tools emerging from generalized information theory
Uncertainty and Information: Foundations of Generalized Information Theory contains comprehensive and up-to-date coverage of results that have emerged from a research program begun by the author in the early 1990s under the name "generalized information theory" (GIT). This ongoing research program aims to develop a formal mathematical treatment of the interrelated concepts of uncertainty and information in all their varieties. In GIT, as in classical information theory, uncertainty (predictive, retrodictive, diagnostic, prescriptive, and the like) is viewed as a manifestation of information deficiency, while information is viewed as anything capable of reducing the uncertainty. A broad conceptual framework for GIT is obtained by expanding the formalized language of classical set theory to include more expressive formalized languages based on fuzzy sets of various types, and by expanding classical theory of additive measures to include more expressive non-additive measures of various types.
This landmark book examines each of several theories for dealing with particular types of uncertainty at the following four levels:
* Mathematical formalization of the conceived type of uncertainty
* Calculus for manipulating this particular type of uncertainty
* Justifiable ways of measuring the amount of uncertainty in any situation formalizable in the theory
* Methodological aspects of the theory
With extensive use of examples and illustrations to clarify complex material and demonstrate practical applications, generous historical and bibliographical notes, end-of-chapter exercises to test readers' newfound knowledge, glossaries, and an Instructor's Manual, this is an excellent graduate-level textbook, as well as an outstanding reference for researchers and practitioners who deal with the various problems involving uncertainty and information.An Instructor's Manual presenting detailed solutions to all the problems in the book is available from the Wiley editorial department.
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2 Classical PossibilityBased Uncertainty Theory
3 Classical ProbabilityBased Uncertainty Theory
4 Generalized Measures and Imprecise Probabilities
5 Special Theories of Imprecise Probabilities
6 Measures of Uncertainty and Information
7 Fuzzy Set Theory
8 Fuzzification of Uncertainty Theories
Appendix B Uniqueness of Generalized Hartley Measure in the DempsterShafer Theory
Appendix C Correctness of Algorithm 61
Appendix D Proper Range of Generalized Shannon Entropy
Appendix E Maximum of GSa in Section 69
Appendix F Glossary of Key Concepts
Appendix G Glossary of Symbols
Uncertainty and Information: Foundations of Generalized ...
IEEE TRANSACTIONS ON NEURAL NETWORKS, VOL. 18, NO. 5, SEPTEMBER 2007. 1551. Uncertainty and Information: Foundations of Generalized ...
ieeexplore.ieee.org/ iel5/ 72/ 4298102/ 04298105.pdf?arnumber=4298105
Wiley-IEEE Press::Uncertainty and Information: Foundations of ...
Uncertainty and Information: Foundations of Generalized Information Theory. George J. Klir. ISBN: 978-0-471-74867-0. Hardcover. 499 pages ...
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Uncertainty and information: Foundations to generalized ...
Uncertainty and information: Foundations to generalized information theory. George J. Klir. Hoboken, NJ: John Wiley; 2006: 499pp. ...
uhdspace.uhasselt.be/ dspace/ bitstream/ 1942/ 3985/ 2/ Uncertainty.doc
JSTOR: Fuzzy Sets, Uncertainty, and Information
Fuzzy Sets, Uncertainty, and Information. Alan J. Mayne. The Journal of the Operational Research Society, Vol. 41, No. 9, 884-886. Sep., 1990. ...
Uncertainty and Information Measures for Imprecise Probabilities ...
The paper deals with basic issues regarding the measurement of relevant types of uncertainty and uncertainty based information in theories that represent ...
UNCERTAINTY AND INFORMATION: EMERGENCE OF VAST NEW TERRITORIES
UNCERTAINTY AND INFORMATION:. EMERGENCE OF VAST NEW TERRITORIES. George J. Klir. Department of Systems Science & Industrial Engineering, ...
www.springerlink.com/ index/ w64007550x16x478.pdf
Review of "Uncertainty and information: Foundations of generalized ...
Review of "Uncertainty and information: Foundations of generalized information theory" by George J. Klir, Wiley, New York, 2005 ...
Fuzzy Sets, Uncertainty and Information
Complexity Reference: compref194 (bibtex). Authors: Klir,GJ Folger,TA. Year: 1988. Title: Fuzzy Sets, Uncertainty and Information ...
cfpm.org/ bruce/ combib/ compref194.html
... dgStork, Pattern Classification, John Wiley & Sons, 2001; gj Klir: ďUncertainty and Information : Foundations of Generalized Information TheoryĒ, ...
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学術専門洋書販売(株)ニュートリノ: Uncertainty And Information
Uncertainty and Information: Foundations of Generalized Information Theory contains comprehensive and up-to-date coverage of results that have emerged from ...
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