| Title:
|
Quasi-Projection for a class of uninorms (2-uninorms) (English) |
| Author:
|
Wen-Huang, Li |
| Author:
|
Hui-Zhen, Fan |
| Author:
|
Feng, Qin |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 (print) |
| ISSN:
|
1805-949X (online) |
| Volume:
|
61 |
| Issue:
|
4 |
| Year:
|
2025 |
| Pages:
|
554-576 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In 2021, Jayaram et al. demonstrated that a property called Quasi-Projectivity $(QP)$ is a necessary condition for Clifford's relation to produce a partial order. Furthermore, their research revealed that although all triangular norms and triangular conorms satisfy $(QP)$ and thus can generate posets, their generalized operator, uninorms, does not always possess this property, resulting in not all uninorms being able to generate a poset. In this work, we first investigate the satisfaction of $(QP)$ for uninorms with continuous underlying operators, concluding that such uninorms are capable of yielding partial orders if and only if they are locally internal in $A(e)$, and the resulting partially ordered set is a chain. Based on this, we further explore the performance of inducing partial orders within the framework of 2-uninorms, and the results show that it is entirely determined by the underlying uninorms. (English) |
| Keyword:
|
uninorms |
| Keyword:
|
triangular norms |
| Keyword:
|
triangular conorms |
| Keyword:
|
Quasi-Projectivity |
| MSC:
|
03B52 |
| MSC:
|
03E72 |
| MSC:
|
94D05 |
| DOI:
|
10.14736/kyb-2025-4-0554 |
| . |
| Date available:
|
2025-09-19T16:40:12Z |
| Last updated:
|
2025-09-19 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/153075 |
| . |
| Reference:
|
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