| Title:
|
A new approach for KM-fuzzy partial metric spaces (English) |
| Author:
|
Shen, Yu |
| Author:
|
Shen, Chong |
| Author:
|
Yan, Conghua |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 (print) |
| ISSN:
|
1805-949X (online) |
| Volume:
|
58 |
| Issue:
|
1 |
| Year:
|
2022 |
| Pages:
|
64-81 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
The main purpose of this paper is to give a new approach for partial metric spaces. We first provide the new concept of KM-fuzzy partial metric, as an extension of both the partial metric and KM-fuzzy metric. Then its relationship with the KM-fuzzy quasi-metric is established. In particularly, we construct a KM-fuzzy quasi-metric from a KM-fuzzy partial metric. Finally, after defining the notion of partial pseudo-metric systems, a one-to-one correspondence between partial pseudo-metric systems and KM-fuzzy partial pseudo-metrics is constructed. Furthermore, a fuzzifying topology $\tau_{P}$ on X deduced from KM-fuzzy partial metric is established and some properties of this fuzzifying topology are discussed. (English) |
| Keyword:
|
partial metric |
| Keyword:
|
KM-fuzzy metric |
| Keyword:
|
KM-fuzzy partial metric |
| Keyword:
|
partial pseudo-metric system |
| Keyword:
|
fuzzy neighborhood system |
| MSC:
|
46S40 |
| MSC:
|
54A40 |
| idZBL:
|
Zbl 07511611 |
| idMR:
|
MR4405947 |
| DOI:
|
10.14736/kyb-2022-1-0064 |
| . |
| Date available:
|
2022-04-08T07:51:18Z |
| Last updated:
|
2022-08-11 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/149602 |
| . |
| Reference:
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