Uncertainty-Based Information: Elements of Generalized Information Theory Book

	Preface
	Acknowledgements
	List of Figures
	List of Tables
	List of Symbols
1	Introduction	1
2	Uncertainty Formalizations	7
2.1	Classical Sets: Terminology and Notation	8
2.2	Fuzzy Set Theory	10
2.3	Fuzzy Measure Theory	21
2.4	Evidence Theory	22
2.5	Probability Theory	30
2.6	Possibility Theory	32
2.7	Overview of Uncertainty Theories	40
3	Uncertainty Measures	43
3.1	Nonspecificity	44
3.2	Conflict	67
3.3	Aggregate Uncertainty in Evidence Theory	87
3.4	Fuzziness	100
3.5	Summary of Uncertainty Measures	104
4	Principles of Uncertainty	107
4.1	Principle of Minimum Uncertainty	107
4.2	Principle of Maximum Uncertainty	110
4.3	Principle of Uncertainty Invariance	118
4.4	Summary of Uncertainty Principles	131
5	Conclusions	135
A	Uniqueness of the U-Uncertainty	141
	Bibliography	147
	Index	165