| Title:
|
$S$-measures, $T$-measures and distinguished classes of fuzzy measures (English) |
| Author:
|
Struk, Peter |
| Author:
|
Stupňanová, Andrea |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 |
| Volume:
|
42 |
| Issue:
|
3 |
| Year:
|
2006 |
| Pages:
|
367-378 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
$S$-measures are special fuzzy measures decomposable with respect to some fixed t-conorm $S$. We investigate the relationship of $S$-measures with some distinguished properties of fuzzy measures, such as subadditivity, submodularity, belief, etc. We show, for example, that each $S_P$-measure is a plausibility measure, and that each $S$-measure is submodular whenever $S$ is 1-Lipschitz. (English) |
| Keyword:
|
fuzzy measure |
| Keyword:
|
t-norm |
| Keyword:
|
T-conorm |
| Keyword:
|
subadditivity |
| Keyword:
|
belief |
| MSC:
|
03E72 |
| MSC:
|
28E10 |
| idZBL:
|
Zbl 1249.28031 |
| idMR:
|
MR2253395 |
| . |
| Date available:
|
2009-09-24T20:16:40Z |
| Last updated:
|
2015-03-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/135720 |
| . |
| Reference:
|
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