Acknowledgements; Contents; List of Figures; List of Tables; List of Symbols; List of Abbreviations; 1 | Introduction; 2 | Fuzzy Theory; 3 | Applications of Fuzzy Theory in Insurance; 4 | Methods of Claims Reserving; 5 | The Fuzzy Chain-Ladder Model -- An Approach with Fuzzy Numbers; 6 | Another Fuzzy Chain-Ladder Model -An Application of Fuzzy Regression Techniques; 7 | The Fuzzy Bornhuetter Ferguson Method; 8 | Conclusion; A | Statistical Basics; Zusammenfassung; Summary; Bibliography