Uncertainty-based information : elements of generalized information theory
著者
書誌事項
Uncertainty-based information : elements of generalized information theory
（Studies in fuzziness and soft computing, v. 15）
Physica-Verlag, c1998
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注記
Includes bibliographical references (p. [147]-164) and index
内容説明・目次
内容説明
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.
目次
- 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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