Name
Abstract | ||
|---|---|---|
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. |
Year | Venue | Keywords |
|---|---|---|
2015 | KYBERNETIKA | relation,poset,order reversing involutions,weakly orthogonal poset,transitivity |
DocType | Volume | Issue |
Journal | 51 | 5 |
ISSN | Citations | PageRank |
0023-5954 | 1 | 0.37 |
References | Authors | |
0 | 4 | |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Vladimír Janis | 1 | 22 | 5.55 |
| Susana Montes | 2 | 380 | 49.26 |
| Branimir Seselja | 3 | 63 | 10.90 |
| Andreja Tepavcevic | 4 | 143 | 22.67 |