| Title:
|
An extension of the ordering based on nullnorms (English) |
| Author:
|
Aşıcı, Emel |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 (print) |
| ISSN:
|
1805-949X (online) |
| Volume:
|
55 |
| Issue:
|
2 |
| Year:
|
2019 |
| Pages:
|
217-232 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper, we generally study an order induced by nullnorms on bounded lattices. We investigate monotonicity property of nullnorms on bounded lattices with respect to the $F$-partial order. Also, we introduce the set of incomparable elements with respect to the F-partial order for any nullnorm on a bounded lattice. Finally, we investigate the relationship between the order induced by a nullnorm and the distributivity property for nullnorms. (English) |
| Keyword:
|
nullnorm |
| Keyword:
|
partial order |
| Keyword:
|
bounded lattice |
| Keyword:
|
distributivity |
| MSC:
|
03B52 |
| MSC:
|
03E72 |
| idZBL:
|
Zbl 07144935 |
| idMR:
|
MR4014584 |
| DOI:
|
10.14736/kyb-2019-2-0217 |
| . |
| Date available:
|
2019-09-30T14:52:13Z |
| Last updated:
|
2020-04-02 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/147833 |
| . |
| Reference:
|
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| Reference:
|
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| Reference:
|
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