| Title:
|
Some notes on the category of fuzzy implications on bounded lattices (English) |
| Author:
|
Yousefi, Amin |
| Author:
|
Mashinchi, Mashaallah |
| Author:
|
Mesiar, Radko |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 (print) |
| ISSN:
|
1805-949X (online) |
| Volume:
|
57 |
| Issue:
|
2 |
| Year:
|
2021 |
| Pages:
|
332-351 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper, we introduce the product, coproduct, equalizer and coequalizer notions on the category of fuzzy implications on a bounded lattice that results in the existence of the limit, pullback, colimit and pushout. Also isomorphism, monic and epic are introduced in this category. Then a subcategory of this category, called the skeleton, is studied. Where none of any two fuzzy implications are $\Phi$-conjugate. (English) |
| Keyword:
|
fuzzy implication |
| Keyword:
|
t-norm |
| Keyword:
|
category |
| Keyword:
|
skeleton of category |
| MSC:
|
03B52 |
| MSC:
|
03E72 |
| idZBL:
|
Zbl 07396270 |
| idMR:
|
MR4273579 |
| DOI:
|
10.14736/kyb-2021-2-0332 |
| . |
| Date available:
|
2021-07-30T13:11:52Z |
| Last updated:
|
2021-11-01 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/149042 |
| . |
| Reference:
|
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| . |
