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Fuzzy topologies with specified level properties

โœ Scribed by Albert J. Klein


Publisher
Elsevier Science
Year
1987
Tongue
English
Weight
433 KB
Volume
21
Category
Article
ISSN
0165-0114

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๐Ÿ“œ SIMILAR VOLUMES


Topological properties of fuzzy numbers
โœ Roy Goetschel Jr.; William Voxman ๐Ÿ“‚ Article ๐Ÿ“… 1983 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 678 KB

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.

Generating fuzzy topologies with semi-cl
โœ Albert J. Klein ๐Ÿ“‚ Article ๐Ÿ“… 1983 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 454 KB

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