| Title:
|
Poset-valued preference relations (English) |
| Author:
|
Janiš, Vladimír |
| Author:
|
Montes, Susana |
| Author:
|
Šešelja, Branimir |
| Author:
|
Tepavčević, Andreja |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 (print) |
| ISSN:
|
1805-949X (online) |
| Volume:
|
51 |
| Issue:
|
5 |
| Year:
|
2015 |
| Pages:
|
747-764 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In decision processes some objects may not be comparable with respect to a preference relation, especially if several criteria are considered. To provide a model for such cases a poset valued preference relation is introduced as a fuzzy relation on a set of alternatives with membership values in a partially ordered set. We analyze its properties and prove the representation theorem in terms of particular order reversing involution on the co-domain poset. We prove that for every set of alternatives there is a poset valued preference whose cut relations are all relations on this domain. We also deal with particular transitivity of such preferences. (English) |
| Keyword:
|
relation |
| Keyword:
|
poset |
| Keyword:
|
order reversing involutions |
| Keyword:
|
weakly orthogonal poset |
| Keyword:
|
transitivity |
| MSC:
|
03G10 |
| MSC:
|
91B08 |
| idZBL:
|
Zbl 06537778 |
| idMR:
|
MR3445982 |
| DOI:
|
10.14736/kyb-2015-5-0747 |
| . |
| Date available:
|
2015-12-16T18:56:36Z |
| Last updated:
|
2018-01-10 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/144741 |
| . |
| Reference:
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