On the extension of possibility measures
β Scribed by Qiao Zhong
- Publisher
- Elsevier Science
- Year
- 1989
- Tongue
- English
- Weight
- 991 KB
- Volume
- 32
- Category
- Article
- ISSN
- 0165-0114
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
We p r o vide a domain-theoretic framework for possibility theory by studying possibility measures on the lattice of opens O(X) of a topological space X . The powerspaces P 0 1] (X) and P 0 1] (X) o f a l l s u c h maps extend to functors in the natural way. We m a y think of possibility measures as
Clearly the sum as well as the maximum of two real numbers can be presented as a semigroup operation. So the measure with values in a partially ordered semigroup is a common generalization of additive or subadditive and maxitive measures (see Section 4). The extension of such measures we realize by