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" Uncertainty-Based Information "
by George J. Klir, Mark J. Wierman.
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BL
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| Record Number
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578826
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b408045
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| Main Entry
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Klir, George J.
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| Title & Author
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Uncertainty-Based Information : Elements of Generalized Information Theory /\ by George J. Klir, Mark J. Wierman.
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| Edition Statement
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Second Corrected Edition.
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| Publication Statement
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Heidelberg :: Physica-Verlag HD :: Imprint: Physica,, 1999.
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| Series Statement
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Studies in Fuzziness and Soft Computing,; 15
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| ISBN
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9783790818697
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: 9783790824643
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| Contents
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Introduction: Significance of Uncertainty; Uncertainty and Information -- Uncertainty Formalizations: Classical Sets: Terminology and Notation; Fuzzy Set Theory; Fuzzy Measure Theory; Evidence Theory; Probability Theory; Possibility Theory; Overview of Uncertainty Theories -- Uncertainty Measures: Nonspecifity; Conflict; Aggregate Uncertainty in Evidence Theory; Fuzziness; Summary of Uncertainty Measures -- Principles of Uncertainty: Principle of Minimum Uncertainty; Principle of Maximum Uncertainty; Principle of Uncertainty Invariance; Summary of Uncertainty Principles -- Conclusions.
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| Abstract
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The book is an overview of the development of basic ideas and mathematical results regarding measures and principles of uncertainty-based information formalized within the framework of classical set theory, probability theory, fuzzy set theory, possibility theory, and the Dempster-Shafer theory of evidence. The book contains many new results, which had until now not been available in a single monograph. The book is very useful for researchers, but it can also be used as a graduate text.
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Mathematics.
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Artificial intelligence.
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Logic, Symbolic and mathematical.
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Operations research.
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Wierman, Mark J.
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SpringerLink (Online service)
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