| Title:
|
Additive generators of discrete semi-uninorms (English) |
| Author:
|
Wang, Ya-Ming |
| Author:
|
Zhan, Hang |
| Author:
|
Zhao, Yuan-Yuan |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 (print) |
| ISSN:
|
1805-949X (online) |
| Volume:
|
60 |
| Issue:
|
6 |
| Year:
|
2024 |
| Pages:
|
740-753 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
This work explores commutative semi-uninorms on finite chains by means of strictly increasing unary functions and the usual addition. In this paper, there are three families of additively generated commutative semi-uninorms. We not only study the structures and properties of semi-uninorms in each family but also show the relationship among these three families. In addition, this work provides the characterizations of uninorms in $\mathcal{U}_{\min}$ and $\mathcal{U}_{\max}$ that are generated by additive generators. (English) |
| Keyword:
|
aggregation operations |
| Keyword:
|
semi-uninorms |
| Keyword:
|
additive generators |
| Keyword:
|
semi-t-norms |
| Keyword:
|
semi-t-conorms |
| Keyword:
|
finite chains |
| MSC:
|
46F10 |
| MSC:
|
62E86 |
| DOI:
|
10.14736/kyb-2024-6-0740 |
| . |
| Date available:
|
2025-01-28T09:00:02Z |
| Last updated:
|
2025-01-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/152857 |
| . |
| Reference:
|
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| . |
