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Synopsis
Preface. Part I: Limit Theorems of Set-Valued and Fuzzy Set-Valued Random Variables. 1. The Space of Set-Valued Random Variables. 2. The Aumann Integral and the Conditional Expectation of a Set-Valued Random Variable. 3. Strong Laws of Large Numbers and Central Limit Theorems for Set-Valued Random Variables. 4. Convergence Theorems for Set-Valued Martingales. 5. Fuzzy Set-Valued Random Variables. 6. Convergence Theorems for Fuzzy Set-Valued Random Variables. 7. Convergences in the Graphical Sense for Fuzzy Set-Valued Random Variables. References for Part I. Part II: Practical Applications of Set-Valued Random Variables. 8. Mathematical Foundations for the Applications of Set-Valued Random Variables. 9. Applications to Imaging. 10. Applications to Data Processing. References for Part II. Index.
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