| Title:
|
Rationality principles for preferences on belief functions (English) |
| Author:
|
Coletti, Giulianella |
| Author:
|
Petturiti, Davide |
| Author:
|
Vantaggi, Barbara |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 (print) |
| ISSN:
|
1805-949X (online) |
| Volume:
|
51 |
| Issue:
|
3 |
| Year:
|
2015 |
| Pages:
|
486-507 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
A generalized notion of lottery is considered, where the uncertainty is expressed by a belief function. Given a partial preference relation on an arbitrary set of generalized lotteries all on the same finite totally ordered set of prizes, conditions for the representability, either by a linear utility or a Choquet expected utility are provided. Both the cases of a finite and an infinite set of generalized lotteries are investigated. (English) |
| Keyword:
|
generalized lottery |
| Keyword:
|
preference relation |
| Keyword:
|
belief function |
| Keyword:
|
linear utility |
| Keyword:
|
Choquet expected utility |
| Keyword:
|
rationality conditions |
| MSC:
|
91B06 |
| MSC:
|
91B16 |
| idZBL:
|
Zbl 06487092 |
| idMR:
|
MR3391681 |
| DOI:
|
10.14736/kyb-2015-3-0486 |
| . |
| Date available:
|
2015-09-01T09:16:32Z |
| Last updated:
|
2016-01-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/144382 |
| . |
| Reference:
|
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