Name
Abstract | ||
|---|---|---|
In this paper, we prove that for a given positive continuous t-norm there is a fuzzy metric space in the sense of George and Veeramani, for which the given t-norm is the strongest one. For the opposite problem, we obtain that there is a fuzzy metric space for which there is no strongest t-norm. As an application of the main results, it is shown that there are infinite non-isometric fuzzy metrics on an infinite set. |
Year | DOI | Venue |
|---|---|---|
2013 | null | KYBERNETIKA |
Keywords | Field | DocType |
fuzzy metric space,t-norm,isometry,analysis | T-norm,Equivalence of metrics,Discrete mathematics,Convex metric space,Intrinsic metric,Metric (mathematics),Metric map,Metric space,Injective metric space,Mathematics | Journal |
Volume | Issue | ISSN |
49 | 1 | 0023-5954 |
Citations | PageRank | References |
0 | 0.34 | 0 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Dong Qiu | 1 | 69 | 6.38 |
| Weiquan Zhang | 2 | 0 | 0.34 |