| Title:
|
A T-partial order obtained from T-norms (English) |
| Author:
|
Karaçal, Funda |
| Author:
|
Kesicioğlu, M. Nesibe |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 |
| Volume:
|
47 |
| Issue:
|
2 |
| Year:
|
2011 |
| Pages:
|
300-314 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
A partial order on a bounded lattice $L$ is called t-order if it is defined by means of the t-norm on $L$. It is obtained that for a t-norm on a bounded lattice $L$ the relation $a\preceq_{T}b$ iff $a=T(x,b)$ for some $x\in L$ is a partial order. The goal of the paper is to determine some conditions such that the new partial order induces a bounded lattice on the subset of all idempotent elements of $L$ and a complete lattice on the subset $A$ of all elements of $L$ which are the supremum of a subset of atoms. (English) |
| Keyword:
|
triangular norm |
| Keyword:
|
bounded lattice |
| Keyword:
|
triangular action |
| Keyword:
|
$\bigvee $-distributive |
| Keyword:
|
idempotent element |
| MSC:
|
03B52 |
| MSC:
|
03E72 |
| idZBL:
|
Zbl 1245.03086 |
| idMR:
|
MR2828579 |
| . |
| Date available:
|
2011-06-06T15:02:20Z |
| Last updated:
|
2013-09-22 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/141574 |
| . |
| Reference:
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