In this paper an important result is the extension theorem, where we find the conditions under which a fuzzy measurable space or a fuzzy measure space can be extended to a normal F-measurable space or to a normal F-measure space, respectively.
Theorem of extension to regular measure
✍ Scribed by A. Jonušauskas
- Publisher
- Springer
- Year
- 1992
- Tongue
- English
- Weight
- 715 KB
- Volume
- 32
- Category
- Article
- ISSN
- 0363-1672
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📜 SIMILAR VOLUMES
The goal of this paper is to introduce random measures into fuzzy u-algebras. The structure of random measures of fuzzy sets is studied. Extension theorems of random measure on fuzzy algebras to the generated u-algebras are founded. It shows that Bochner integrals with respect to measures of fuzzy s
## Extensions of group-valued regular BOREL measures By SURJIT SINGH KHURANA of Iowa City (U.S.A.) (Eingegangen a.m 9. 1. 1979) In ([ill) a result is proved about the extension of regular BOREL measures. The main result is Theorem ([Ill, Theorem 10). Let X and Y be compact HAUSDORFF spaces, 9 : X