| Title:
|
A new approach to construct uninorms via uninorms on bounded lattices (English) |
| Author:
|
Xiu, Zhen-Yu |
| Author:
|
Zheng, Xu |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 (print) |
| ISSN:
|
1805-949X (online) |
| Volume:
|
60 |
| Issue:
|
2 |
| Year:
|
2024 |
| Pages:
|
125-149 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper, on a bounded lattice $L$, we give a new approach to construct uninorms via a given uninorm $U^{*}$ on the subinterval $[0,a]$ (or $[b,1]$) of $L$ under additional constraint conditions on $L$ and $U^{*}$. This approach makes our methods generalize some known construction methods for uninorms in the literature. Meanwhile, some illustrative examples for the construction of uninorms on bounded lattices are provided. (English) |
| Keyword:
|
bounded lattices |
| Keyword:
|
$t$-norms |
| Keyword:
|
$t$-conorms |
| Keyword:
|
uninorms |
| MSC:
|
03B52 |
| MSC:
|
03E72 |
| MSC:
|
06B20 |
| DOI:
|
10.14736/kyb-2024-2-0125 |
| . |
| Date available:
|
2024-06-03T09:35:35Z |
| Last updated:
|
2024-06-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/152411 |
| . |
| Reference:
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