Uncertainty-based information : elements of generalized information theory /
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 e...
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| Format: | eBook |
| Language: | English |
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New York :
Physica-Verlag,
1999.
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| Edition: | Second corrected edition. |
| Series: | Studies in fuzziness and soft computing ;
vol. 15. |
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| Online Access: | Connect to the full text of this electronic book |
Table of Contents:
- 1. Introduction. 1.1. Significant of Uncertainty. 1.2. Uncertainty and Information
- 2. Uncertainty Formalizations. 2.1. Classical Sets: Terminology and Notation. 2.2. Fuzzy Set Theory. 2.3. Fuzzy Measure Theory. 2.4. Evidence Theory. 2.5. Probability Theory. 2.6. Possibility Theory. 2.7. Overview of Uncertainty Theories
- 3. Uncertainty Measures. 3.1. Nonspecificity. 3.2. Conflict. 3.3. Aggregate Uncertainty in Evidence Theory. 3.4. Fuzziness. 3.5. Summary of Uncertainty Measures
- 4. Principles of Uncertainty. 4.1. Principle of Minimum Uncertainty. 4.2. Principle of Maximum Uncertainty. 4.3. Principle of Uncertainty Invariance. 4.4. Summary of Uncertainty Principles
- 5. Conclusions.