| Title:
|
Migrativity properties of 2-uninorms over semi-t-operators (English) |
| Author:
|
Li-Jun, Ying |
| Author:
|
Feng, Qin |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 (print) |
| ISSN:
|
1805-949X (online) |
| Volume:
|
58 |
| Issue:
|
3 |
| Year:
|
2022 |
| Pages:
|
354-375 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper, we analyze and characterize all solutions about $\alpha$-migrativity properties of the five subclasses of 2-uninorms, i. e. $C^{k}$, $C^{0}_{k}$, $C^{1}_{k}$, $C^{0}_{1}$, $C^{1}_{0}$, over semi-t-operators. We give the sufficient and necessary conditions that make these $\alpha$-migrativity equations hold for all possible combinations of 2-uninorms over semi-t-operators. The results obtained show that for $G\in C^{k}$, the $\alpha$-migrativity of $G$ over a semi-t-operator $F_{\mu,\nu}$ is closely related to the $\alpha$-section of $F_{\mu,\nu}$ or the ordinal sum representation of t-norm and t-conorm corresponding to $F_{\mu,\nu}$. But for the other four categories, the $\alpha$-migrativity over a semi-t-operator $F_{\mu,\nu}$ is fully determined by the $\alpha$-section of $F_{\mu,\nu}$. (English) |
| Keyword:
|
2-uninorms |
| Keyword:
|
uninorms |
| Keyword:
|
semi-t-operators |
| Keyword:
|
triangular norms |
| Keyword:
|
triangular conorms |
| MSC:
|
03B52 |
| MSC:
|
94D05 |
| idZBL:
|
Zbl 07613050 |
| idMR:
|
MR4494096 |
| DOI:
|
10.14736/kyb-2022-3-0354 |
| . |
| Date available:
|
2022-10-06T14:47:46Z |
| Last updated:
|
2023-03-13 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/151035 |
| . |
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| . |
