Table 1 Relations between alternatives in PROMETHEE partial preorder ranking
From: Multi-criteria ranking of voice transmission carriers of a telecommunication company using PROMETHEE
Preference relation | Cases | Graphical representation |
|---|---|---|
\(A_kPA_l\) | \(\phi ^+(A_k) > \phi ^+(A_l)\) and \(\phi ^-(A_k) < \phi ^-(A_l)\) | \(A_k \rightarrow A_l\) |
\(\phi ^+(A_k) > \phi ^+(A_l)\) and \(\phi ^-(A_k) = \phi ^-(A_l)\) | ||
\(\phi ^+(A_k) = \phi ^+(A_l)\) and \(\phi ^-(A_k) < \phi ^-(A_l)\) | ||
\(A_kIA_l\) | \(\phi ^+(A_k) = \phi ^+(A_l)\) and \(\phi ^-(A_k) =\phi ^-(A_l)\) | – |
\(A_kRA_l\) | \(\phi ^+(A_k) > \phi ^+(A_l)\) and \(\phi ^-(A_k) > \phi ^-(A_l)\) | – |
\(\phi ^+(A_l) > \phi ^+(A_k)\) and \(\phi ^-(A_l) > \phi ^-(A_k)\) |