| Title:
|
On the construction of t-norms (t-conorms) by using interior (closure) operator on bounded lattices (English) |
| Author:
|
Aşıcı, Emel |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 (print) |
| ISSN:
|
1805-949X (online) |
| Volume:
|
58 |
| Issue:
|
3 |
| Year:
|
2022 |
| Pages:
|
456-478 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Recently, the topic of construction methods for triangular norms (triangular conorms), uninorms, nullnorms, etc. has been studied widely. In this paper, we propose construction methods for triangular norms (t-norms) and triangular conorms (t-conorms) on bounded lattices by using interior and closure operators, respectively. Thus, we obtain some proposed methods given by Ertuğrul, Karaçal, Mesiar [15] and Çaylı [8] as results. Also, we give some illustrative examples. Finally, we conclude that the introduced construction methods can not be generalized by induction to a modified ordinal sum for t-norms and t-conorms on bounded lattices. (English) |
| Keyword:
|
t-norm |
| Keyword:
|
t-conorm |
| Keyword:
|
ordinal sum |
| Keyword:
|
bounded lattice |
| MSC:
|
03B52 |
| MSC:
|
03E72 |
| idZBL:
|
Zbl 07613055 |
| idMR:
|
MR4494101 |
| DOI:
|
10.14736/kyb-2022-3-0456 |
| . |
| Date available:
|
2022-10-06T14:55:21Z |
| Last updated:
|
2023-03-13 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/151040 |
| . |
| Reference:
|
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| . |
