| Title:
|
On the constructions of t-norms and t-conorms on some special classes of bounded lattices (English) |
| Author:
|
Aşıcı, Emel |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 (print) |
| ISSN:
|
1805-949X (online) |
| Volume:
|
57 |
| Issue:
|
2 |
| Year:
|
2021 |
| Pages:
|
352-371 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Recently, the topic related to the construction of triangular norms and triangular conorms on bounded lattices using ordinal sums has been extensively studied. In this paper, we introduce a new ordinal sum construction of triangular norms and triangular conorms on an appropriate bounded lattice. Also, we give some illustrative examples for clarity. Then, we show that a new construction method can be generalized by induction to a modified ordinal sum for triangular norms and triangular conorms on an appropriate bounded lattice, respectively. And we provide some illustrative examples. (English) |
| Keyword:
|
t-norm |
| Keyword:
|
t-conorm |
| Keyword:
|
ordinal sum |
| Keyword:
|
bounded lattice |
| MSC:
|
03B52 |
| MSC:
|
03E72 |
| idZBL:
|
Zbl 07396271 |
| idMR:
|
MR4273580 |
| DOI:
|
10.14736/kyb-2021-2-0352 |
| . |
| Date available:
|
2021-07-30T13:13:13Z |
| Last updated:
|
2021-11-01 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/149043 |
| . |
| Reference:
|
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