Table 4 Preference function.
From: Extended PROMETHEE method with (p,q)-rung linear Diophantine fuzzy sets for robot selection problem
| Â | \({\mathfrak {C}}_{1}\) | \({\mathfrak {C}}_{2}\) | \({\mathfrak {C}}_{3}\) | \({\mathfrak {C}}_{4}\) | \({\mathfrak {C}}_{5}\) |
|---|---|---|---|---|---|
\({\mathfrak {P}}({\mathfrak {A}}_{1}, {\mathfrak {A}}_{2})\) | 0.1321 | 0.2567 | 0 | 0.0984 | 0.0422 |
\({\mathfrak {P}}({\mathfrak {A}}_{1}, {\mathfrak {A}}_{3})\) | 0.0105 | 0.1025 | 0 | 0.0429 | 0.0348 |
\({\mathfrak {P}}({\mathfrak {A}}_{1}, {\mathfrak {A}}_{4})\) | 0.1552 | 0.1281 | 0 | 0.0819 | 0.0405 |
\({\mathfrak {P}}({\mathfrak {A}}_{1}, {\mathfrak {A}}_{5})\) | 0.1769 | 0.2249 | 0.8439 | 0.1363 | 0.0515 |
\({\mathfrak {P}}({\mathfrak {A}}_{2}, {\mathfrak {A}}_{1})\) | 0 | 0 | 0.0012 | 0 | 0 |
\({\mathfrak {P}}({\mathfrak {A}}_{2}, {\mathfrak {A}}_{3})\) | 0 | 0 | 0 | 0 | 0 |
\({\mathfrak {P}}({\mathfrak {A}}_{2}, {\mathfrak {A}}_{4})\) | 0.0231 | 0 | 0.0551 | 0 | 0 |
\({\mathfrak {P}}({\mathfrak {A}}_{2}, {\mathfrak {A}}_{5})\) | 0.0448 | 0 | 0.0855 | 0.0379 | 0.0093 |
\({\mathfrak {P}}({\mathfrak {A}}_{3}, {\mathfrak {A}}_{1})\) | 0 | 0 | 0.0138 | 0 | 0 |
\({\mathfrak {P}}({\mathfrak {A}}_{3}, {\mathfrak {A}}_{2})\) | 0.0271 | 0.1541 | 0.0125 | 0.0555 | 0.0077 |
\({\mathfrak {P}}({\mathfrak {A}}_{3}, {\mathfrak {A}}_{4})\) | 0.0502 | 0.0255 | 0.0677 | 0.0390 | 0.0057 |
\({\mathfrak {P}}({\mathfrak {A}}_{3}, {\mathfrak {A}}_{5})\) | 0.0719 | 0.1223 | 0.0981 | 0.0934 | 0.0168 |
\({\mathfrak {P}}({\mathfrak {A}}_{4}, {\mathfrak {A}}_{1})\) | 0 | 0 | 0.8195 | 0 | 0 |
\({\mathfrak {P}}({\mathfrak {A}}_{4}, {\mathfrak {A}}_{2})\) | 0 | 0.1285 | 0 | 0.0165 | 0.0017 |
\({\mathfrak {P}}({\mathfrak {A}}_{4}, {\mathfrak {A}}_{3})\) | 0 | 0 | 0 | 0 | 0 |
\({\mathfrak {P}}({\mathfrak {A}}_{4}, {\mathfrak {A}}_{5})\) | 0.0217 | 0.0968 | 0.0304 | 0.0544 | 0.0110 |
\({\mathfrak {P}}({\mathfrak {A}}_{5}, {\mathfrak {A}}_{1})\) | 0 | 0 | 0 | 0 | 0.0348 |
\({\mathfrak {P}}({\mathfrak {A}}_{5}, {\mathfrak {A}}_{2})\) | 0 | 0.0318 | 0 | 0 | 0 |
\({\mathfrak {P}}({\mathfrak {A}}_{5}, {\mathfrak {A}}_{3})\) | 0 | 0 | 0 | 0 | 0 |
\({\mathfrak {P}}({\mathfrak {A}}_{5}, {\mathfrak {A}}_{4})\) | 0 | 0 | 0 | 0 | 0 |
