| Title:
|
A general approach to decomposable bi-capacities (English) |
| Author:
|
Saminger, Susanne |
| Author:
|
Mesiar, Radko |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 |
| Volume:
|
39 |
| Issue:
|
5 |
| Year:
|
2003 |
| Pages:
|
[631]-642 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We propose a concept of decomposable bi-capacities based on an analogous property of decomposable capacities, namely the valuation property. We will show that our approach extends the already existing concepts of decomposable bi-capacities. We briefly discuss additive and $k$-additive bi-capacities based on our definition of decomposability. Finally we provide examples of decomposable bi-capacities in our sense in order to show how they can be constructed. (English) |
| Keyword:
|
bi-capacity |
| Keyword:
|
cumulative prospect theory |
| Keyword:
|
decomposable capacity |
| Keyword:
|
uninorm |
| MSC:
|
03E72 |
| MSC:
|
03H05 |
| MSC:
|
28C99 |
| MSC:
|
28E05 |
| MSC:
|
68T37 |
| idZBL:
|
Zbl 1249.28022 |
| idMR:
|
MR2042345 |
| . |
| Date available:
|
2009-09-24T19:57:23Z |
| Last updated:
|
2015-03-24 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/135560 |
| . |
| Reference:
|
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