| Title:
|
An extension method for t-norms on subintervals to t-norms on bounded lattices (English) |
| Author:
|
Karaçal, Funda |
| Author:
|
Ertuğrul, Ümit |
| Author:
|
Kesicioğlu, M. Nesibe |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 (print) |
| ISSN:
|
1805-949X (online) |
| Volume:
|
55 |
| Issue:
|
6 |
| Year:
|
2019 |
| Pages:
|
976-993 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper, a construction method on a bounded lattice obtained from a given t-norm on a subinterval of the bounded lattice is presented. The supremum distributivity of the constructed t-norm by the mentioned method is investigated under some special conditions. It is shown by an example that the extended t-norm on $L$ from the t-norm on a subinterval of $L$ need not be a supremum-distributive t-norm. Moreover, some relationships between the mentioned construction method and the other construction methods in the literature are presented. (English) |
| Keyword:
|
T-norm |
| Keyword:
|
bounded lattice |
| Keyword:
|
construction method |
| Keyword:
|
subinterval |
| MSC:
|
03B52 |
| MSC:
|
03E72 |
| MSC:
|
03G10 |
| MSC:
|
18B35 |
| idZBL:
|
Zbl 07217222 |
| idMR:
|
MR4077140 |
| DOI:
|
10.14736/kyb-2019-6-0976 |
| . |
| Date available:
|
2020-05-20T15:14:26Z |
| Last updated:
|
2020-08-26 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/148087 |
| . |
| Reference:
|
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| Reference:
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| . |
