| Title:
|
Properties of fuzzy relations powers (English) |
| Author:
|
Drewniak, Józef |
| Author:
|
Pȩkala, Barbara |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 |
| Volume:
|
43 |
| Issue:
|
2 |
| Year:
|
2007 |
| Pages:
|
133-142 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Properties of $\sup \nolimits $-$\ast $ compositions of fuzzy relations were first examined in Goguen [8] and next discussed by many authors. Power sequence of fuzzy relations was mainly considered in the case of matrices of fuzzy relation on a finite set. We consider $\sup \nolimits $-$\ast $ powers of fuzzy relations under diverse assumptions about $\ast $ operation. At first, we remind fundamental properties of $\sup \nolimits $-$\ast $ composition. Then, we introduce some manipulations on relation powers. Next, the closure and interior of fuzzy relations are examined. Finally, particular properties of fuzzy relations on a finite set are presented. (English) |
| Keyword:
|
fuzzy relation |
| Keyword:
|
binary operation |
| Keyword:
|
relation composition |
| Keyword:
|
$\sup \nolimits $-$\ast $ composition |
| Keyword:
|
relation powers |
| Keyword:
|
relation closure |
| Keyword:
|
relation interior |
| MSC:
|
03E72 |
| MSC:
|
15A33 |
| MSC:
|
15A99 |
| MSC:
|
16Y60 |
| idZBL:
|
Zbl 1135.03022 |
| idMR:
|
MR2343391 |
| . |
| Date available:
|
2009-09-24T20:22:22Z |
| Last updated:
|
2012-06-06 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/135762 |
| . |
| Reference:
|
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| . |
