The bicompletion of fuzzy quasi-metric spaces (Q533143)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: The bicompletion of fuzzy quasi-metric spaces |
scientific article; zbMATH DE number 5882957
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The bicompletion of fuzzy quasi-metric spaces |
scientific article; zbMATH DE number 5882957 |
Statements
The bicompletion of fuzzy quasi-metric spaces (English)
0 references
2 May 2011
0 references
In the sense of Kramosil and Michalek, every fuzzy metric space has a completion which is unique up to isometry. It is shown that every KM-fuzzy quasi-metric space has a bicompletion which is unique up to isometry, and deduced that for each KM-fuzzy quasi-metric space, the completion of its induced fuzzy metric space coincides with the fuzzy metric space induced by its bicompletion.
0 references
fuzzy quasi-metric
0 references
bicomplete
0 references
isometry
0 references
bicompletion
0 references
0 references
