| Title:
|
Sufficient conditions for a T-partial order obtained from triangular norms to be a lattice (English) |
| Author:
|
Li, Lifeng |
| Author:
|
Zhang, Jianke |
| Author:
|
Zhou, Chang |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 (print) |
| ISSN:
|
1805-949X (online) |
| Volume:
|
55 |
| Issue:
|
2 |
| Year:
|
2019 |
| Pages:
|
295-306 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
For a t-norm T on a bounded lattice $(L, \leq)$, a partial order $\leq_{T}$ was recently defined and studied. In [11], it was pointed out that the binary relation $\leq_{T} $ is a partial order on $L$, but $(L, \leq_{T} )$ may not be a lattice in general. In this paper, several sufficient conditions under which $(L, \leq_{T} )$ is a lattice are given, as an answer to an open problem posed by the authors of [11]. Furthermore, some examples of t-norms on $L$ such that $(L, \leq_{T}) $ is a lattice are presented. (English) |
| Keyword:
|
bounded lattice |
| Keyword:
|
triangular norm |
| Keyword:
|
T-partial order |
| MSC:
|
03B52 |
| MSC:
|
03E72 |
| idZBL:
|
Zbl 07144939 |
| idMR:
|
MR4014588 |
| DOI:
|
10.14736/kyb-2019-2-0295 |
| . |
| Date available:
|
2019-09-30T15:01:54Z |
| Last updated:
|
2020-04-02 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/147838 |
| . |
| Reference:
|
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| Reference:
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| Reference:
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| . |
