| Title:
|
The strongest t-norm for fuzzy metric spaces (English) |
| Author:
|
Qiu, Dong |
| Author:
|
Zhang, Weiquan |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 |
| Volume:
|
49 |
| Issue:
|
1 |
| Year:
|
2013 |
| Pages:
|
141-148 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
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. (English) |
| Keyword:
|
fuzzy metric space |
| Keyword:
|
t-norm |
| Keyword:
|
isometry |
| Keyword:
|
analysis |
| MSC:
|
62A10 |
| MSC:
|
93E12 |
| . |
| Date available:
|
2013-03-05T15:13:23Z |
| Last updated:
|
2013-07-31 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/143245 |
| . |
| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
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| Reference:
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