| Title:
|
Choquet-like integrals with respect to level-dependent capacities and $\varphi $-ordinal sums of aggregation function (English) |
| Author:
|
Mesiar, Radko |
| Author:
|
Smrek, Peter |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 (print) |
| ISSN:
|
1805-949X (online) |
| Volume:
|
51 |
| Issue:
|
3 |
| Year:
|
2015 |
| Pages:
|
420-432 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this study we merge the concepts of Choquet-like integrals and the Choquet integral with respect to level dependent capacities. For finite spaces and piece-wise constant level-dependent capacities our approach can be represented as a $\varphi$-ordinal sum of Choquet-like integrals acting on subdomains of the considered scale, and thus it can be regarded as extension method. The approach is illustrated by several examples. (English) |
| Keyword:
|
Choquet integral |
| Keyword:
|
Choquet-like integral |
| Keyword:
|
level-dependent capacity |
| Keyword:
|
$\varphi $-ordinal sum of aggregation functions |
| MSC:
|
28E05 |
| MSC:
|
28E10 |
| idZBL:
|
Zbl 06487088 |
| idMR:
|
MR3391677 |
| DOI:
|
10.14736/kyb-2015-3-0420 |
| . |
| Date available:
|
2015-09-01T09:10:02Z |
| Last updated:
|
2016-01-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/144378 |
| . |
| Reference:
|
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| Reference:
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| Reference:
|
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| Reference:
|
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| Reference:
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| Reference:
|
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| Reference:
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| Reference:
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| Reference:
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| . |
