Fuzzy topologies with specified level properties
โ Scribed by Albert J. Klein
- Publisher
- Elsevier Science
- Year
- 1987
- Tongue
- English
- Weight
- 433 KB
- Volume
- 21
- Category
- Article
- ISSN
- 0165-0114
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
Fuzzy numbers are defined and a metric is assigned to this class of fuzzy sets. Topological properties of the resulting metric space are studied. The notion of e-crisp fuzzy numbers is introduced, and, in particular, it is shown that this class of fuzzy numbers is homeomorphic to the Hilbert cube.
Let X be an L-fuzzy topological space. For Q E L -{l} and A c X, x E c,(A) if and only if G fuzzy-open and G(x)> a imply there is (z E A with G(a) > 0. Under certain restrictions on (Y, which are always satisfied if L is linearly ordered, c, is a semi-closure operator. This paper contains necessary