| Title:
|
On the hyperspace of bounded closed sets under a generalized Hausdorff stationary fuzzy metric (English) |
| Author:
|
Qiu, Dong |
| Author:
|
Lu, Chongxia |
| Author:
|
Deng, Shuai |
| Author:
|
Wang, Liang |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 (print) |
| ISSN:
|
1805-949X (online) |
| Volume:
|
50 |
| Issue:
|
5 |
| Year:
|
2014 |
| Pages:
|
758-773 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper, we generalize the classical Hausdorff metric with t-norms and obtain its basic properties. Furthermore, for a given stationary fuzzy metric space with a t-norm without zero divisors, we propose a method for constructing a generalized Hausdorff fuzzy metric on the set of the nonempty bounded closed subsets. Finally we discuss several important properties as completeness, completion and precompactness. (English) |
| Keyword:
|
Hausdorff metric |
| Keyword:
|
hyperspace |
| Keyword:
|
triangular norms |
| Keyword:
|
stationary fuzzy metric |
| MSC:
|
03E72 |
| MSC:
|
46S40 |
| MSC:
|
54A40 |
| MSC:
|
54B20 |
| idZBL:
|
Zbl 06410702 |
| idMR:
|
MR3301859 |
| DOI:
|
10.14736/kyb-2014-5-0758 |
| . |
| Date available:
|
2015-01-13T09:34:29Z |
| Last updated:
|
2016-01-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/144105 |
| . |
| Reference:
|
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