| Title:
|
Characterization of the order induced by uninorm with the underlying drastic product or drastic sum (English) |
| Author:
|
Liu, Zhi-qiang |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 (print) |
| ISSN:
|
1805-949X (online) |
| Volume:
|
60 |
| Issue:
|
6 |
| Year:
|
2024 |
| Pages:
|
723-739 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this article, we investigate the algebraic structures of the partial orders induced by uninorms on a bounded lattice. For a class of uninorms with the underlying drastic product or drastic sum, we first present some conditions making a bounded lattice also a lattice with respect to the order induced by such uninorms. And then we completely characterize the distributivity of the lattices obtained. (English) |
| Keyword:
|
uninorm |
| Keyword:
|
triangular norm |
| Keyword:
|
divisibility |
| Keyword:
|
partial order |
| Keyword:
|
distributive lattice |
| MSC:
|
03B20 |
| MSC:
|
06B05 |
| MSC:
|
94D05 |
| DOI:
|
10.14736/kyb-2024-6-0723 |
| . |
| Date available:
|
2025-01-28T08:58:40Z |
| Last updated:
|
2025-01-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/152856 |
| . |
| Reference:
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