| Title:
|
A characterization of uninorms on bounded lattices via closure and interior operators (English) |
| Author:
|
Çayli, Gül Deniz |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 (print) |
| ISSN:
|
1805-949X (online) |
| Volume:
|
59 |
| Issue:
|
5 |
| Year:
|
2023 |
| Pages:
|
768-790 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Uninorms on bounded lattices have been recently a remarkable field of inquiry. In the present study, we introduce two novel construction approaches for uninorms on bounded lattices with a neutral element, where some necessary and sufficient conditions are required. These constructions exploit a t-norm and a closure operator, or a t-conorm and an interior operator on a bounded lattice. Some illustrative examples are also included to help comprehend the newly added classes of uninorms. (English) |
| Keyword:
|
bounded lattice |
| Keyword:
|
closure operator |
| Keyword:
|
uninorm |
| Keyword:
|
interior operator |
| Keyword:
|
T-norm |
| Keyword:
|
T-conorm |
| MSC:
|
03B52 |
| MSC:
|
03E72 |
| MSC:
|
06B20 |
| MSC:
|
94D05 |
| MSC:
|
97E30 |
| idZBL:
|
Zbl 07790661 |
| idMR:
|
MR4681022 |
| DOI:
|
10.14736/kyb-2023-5-0768 |
| . |
| Date available:
|
2023-12-12T16:06:29Z |
| Last updated:
|
2024-02-13 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/151987 |
| . |
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| . |
