| Title:
|
Towards the properties of fuzzy multiplication for fuzzy numbers (English) |
| Author:
|
Bica, Alexandru Mihai |
| Author:
|
Fechete, Dorina |
| Author:
|
Fechete, Ioan |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 (print) |
| ISSN:
|
1805-949X (online) |
| Volume:
|
55 |
| Issue:
|
1 |
| Year:
|
2019 |
| Pages:
|
44-62 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper, by using a new representation of fuzzy numbers, namely the ecart-representation, we investigate the possibility to consider such multiplication between fuzzy numbers that is fully distributive. The algebraic and topological properties of the obtained semiring are studied making a comparison with the properties of the existing fuzzy multiplication operations. The properties of the generated fuzzy power are investigated. (English) |
| Keyword:
|
fuzzy number |
| Keyword:
|
semiring |
| Keyword:
|
fuzzy product distributivity |
| MSC:
|
03E72 |
| idZBL:
|
Zbl 07088878 |
| idMR:
|
MR3935414 |
| DOI:
|
10.14736/kyb-2019-1-0044 |
| . |
| Date available:
|
2019-05-07T11:06:11Z |
| Last updated:
|
2020-02-27 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/147705 |
| . |
| Reference:
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