| Title:
|
Degrees of compatible $L$-subsets and compatible mappings (English) |
| Author:
|
Shi, Fu-Gui |
| Author:
|
Sun, Yan |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 (print) |
| ISSN:
|
1805-949X (online) |
| Volume:
|
60 |
| Issue:
|
2 |
| Year:
|
2024 |
| Pages:
|
172-196 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Based on a completely distributive lattice $L$, degrees of compatible $L$-subsets and compatible mappings are introduced in an $L$-approximation space and their characterizations are given by four kinds of cut sets of $L$-subsets and $L$-equivalences, respectively. Besides, some characterizations of compatible mappings and compatible degrees of mappings are given by compatible $L$-subsets and compatible degrees of $L$-subsets. Finally, the notion of complete $L$-sublattices is introduced and it is shown that the product of complete $L$-sublattices is still a complete $L$-sublattice and the compatible degree of an $L$-subset is a complete $L$-sublattice. (English) |
| Keyword:
|
$L$-approximation spaces |
| Keyword:
|
compatible $L$-subsets |
| Keyword:
|
compatible mappings |
| Keyword:
|
complete $L$-sublattices |
| MSC:
|
06B75 |
| MSC:
|
06D10 |
| MSC:
|
06D72 |
| DOI:
|
10.14736/kyb-2024-2-0172 |
| . |
| Date available:
|
2024-06-03T09:40:34Z |
| Last updated:
|
2024-06-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/152414 |
| . |
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