| Title:
|
Multiplication, distributivity and fuzzy-integral. I (English) |
| Author:
|
Sander, Wolfgang |
| Author:
|
Siedekum, Jens |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 |
| Volume:
|
41 |
| Issue:
|
3 |
| Year:
|
2005 |
| Pages:
|
[397]-422 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
The main purpose is the introduction of an integral which covers most of the recent integrals which use fuzzy measures instead of measures. Before we give our framework for a fuzzy integral we motivate and present in a first part structure- and representation theorems for generalized additions and generalized multiplications which are connected by a strong and a weak distributivity law, respectively. (English) |
| Keyword:
|
fuzzy measures |
| Keyword:
|
distributivity law |
| Keyword:
|
restricted domain |
| Keyword:
|
pseudo- addition |
| Keyword:
|
pseudo-multiplication |
| Keyword:
|
Choquet integral |
| Keyword:
|
Sugeno integral |
| MSC:
|
20M30 |
| MSC:
|
26E50 |
| MSC:
|
28A12 |
| MSC:
|
28A25 |
| MSC:
|
28E10 |
| idZBL:
|
Zbl 1249.28028 |
| idMR:
|
MR2181427 |
| . |
| Date available:
|
2009-09-24T20:09:53Z |
| Last updated:
|
2015-03-23 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/135664 |
| . |
| Related article:
|
http://dml.cz/handle/10338.dmlcz/135670 |
| Related article:
|
http://dml.cz/handle/10338.dmlcz/135671 |
| . |
| Reference:
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