The Hahn decomposition theorem for fuzzy measures and applications
โ Scribed by Giuseppina Barbieri; Maria Antonietta Lepellere; Hans Weber
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 139 KB
- Volume
- 118
- Category
- Article
- ISSN
- 0165-0114
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
Further research on signed fuzzy measures is made. Lebesgue decomposition theorems for a-finite signed fuzzy measures and fuzzy measures are proved under the null-null additive condition. Thus, the relative result in classical measure theory is generalized.
Radon-Nikodym theorem is established on fuzzy number measures in Banach spaces, Vitali-Hahn-Saks theorem is generalized to set valued measures and fuzzy number measures.
Doob decomposition and Riesz decomposition theorems in standard martingale theory are generalized to fuzzy martingales. The concepts of two types of Riesz decomposition for fuzzy supermartingales are given and the necessary and su cient conditions of that fuzzy supermartingale or submartingale (resp