Uncertainty-Based Information: Elements of Generalized Information Theory
George J. Klir, Mark J. Wierman, Janusz Kacprzyk
Abstract
George J. Klir, Mark J. Wierman, Janusz Kacprzyk
Abstract
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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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.
Key concepts: Uncertainty theory, Possibility theory, Sensitivity analysis, Notation, Fuzzy set, Dempster–Shafer theory, Uncertainty principle, Uncertainty analysis