| Title:
|
On the $L$-valued categories of $L$-$E$-ordered sets (English) |
| Author:
|
Grigorenko, Olga |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 |
| Volume:
|
48 |
| Issue:
|
1 |
| Year:
|
2012 |
| Pages:
|
144-164 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
The aim of this paper is to construct an $L$-valued category whose objects are $L$-$E$-ordered sets. To reach the goal, first, we construct a category whose objects are $L$-$E$-ordered sets and morphisms are order-preserving mappings (in a fuzzy sense). For the morphisms of the category we define the degree to which each morphism is an order-preserving mapping and as a result we obtain an $L$-valued category. Further we investigate the properties of this category, namely, we observe some special objects, special morphisms and special constructions. (English) |
| Keyword:
|
category |
| Keyword:
|
$L$-valued category |
| Keyword:
|
fuzzy order relation |
| MSC:
|
03E72 |
| MSC:
|
18A05 |
| MSC:
|
18B35 |
| idZBL:
|
Zbl 1251.03062 |
| idMR:
|
MR2932933 |
| . |
| Date available:
|
2012-03-05T08:36:51Z |
| Last updated:
|
2013-09-22 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/142068 |
| . |
| Reference:
|
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