Table 3 Performance difference values.
From: Extended PROMETHEE method with (p,q)-rung linear Diophantine fuzzy sets for robot selection problem
| Â | \({\mathfrak {C}}_{1}\) | \({\mathfrak {C}}_{2}\) | \({\mathfrak {C}}_{3}\) | \({\mathfrak {C}}_{4}\) | \({\mathfrak {C}}_{5}\) |
|---|---|---|---|---|---|
\({\mathfrak {d}}({\mathfrak {A}}_{1}, {\mathfrak {A}}_{2})\) | 0.1189 | 0.2310 | − 0.0011 | 0.0886 | 0.0380 |
\({\mathfrak {d}}({\mathfrak {A}}_{1}, {\mathfrak {A}}_{3})\) | 0.0945 | 0.0923 | − 0.0124 | 0.0386 | 0.0313 |
\({\mathfrak {d}}({\mathfrak {A}}_{1}, {\mathfrak {A}}_{4})\) | 0.1397 | 0.1153 | − 0.7376 | 0.0737 | 0.0365 |
\({\mathfrak {d}}({\mathfrak {A}}_{1}, {\mathfrak {A}}_{5})\) | 0.1592 | 0.2024 | 0.7590 | 0.1227 | 0.0464 |
\({\mathfrak {d}}({\mathfrak {A}}_{2}, {\mathfrak {A}}_{1})\) | − 0.1189 | − 0.2310 | 0.0011 | − 0.0886 | − 0.0380 |
\({\mathfrak {d}}({\mathfrak {A}}_{2}, {\mathfrak {A}}_{3})\) | − 0.0244 | − 0.1387 | − 0.0113 | − 0.0500 | − 0.0070 |
\({\mathfrak {d}}({\mathfrak {A}}_{2}, {\mathfrak {A}}_{4})\) | 0.0208 | − 0.1157 | 0.0496 | − 0.0149 | − 0.0015 |
\({\mathfrak {d}}({\mathfrak {A}}_{2}, {\mathfrak {A}}_{5})\) | 0.0403 | − 0.0286 | 0.0770 | 0.0341 | 0.0084 |
\({\mathfrak {d}}({\mathfrak {A}}_{3}, {\mathfrak {A}}_{1})\) | − 0.0945 | − 0.0923 | 0.0124 | − 0.0386 | − 0.0313 |
\({\mathfrak {d}}({\mathfrak {A}}_{3}, {\mathfrak {A}}_{2})\) | 0.0244 | 0.1387 | 0.0113 | 0.0500 | 0.0070 |
\({\mathfrak {d}}({\mathfrak {A}}_{3}, {\mathfrak {A}}_{4})\) | 0.0452 | 0.0230 | 0.0609 | 0.0351 | 0.0052 |
\({\mathfrak {d}}({\mathfrak {A}}_{3}, {\mathfrak {A}}_{5})\) | 0.0647 | 0.1101 | 0.0883 | 0.0841 | 0.0151 |
\({\mathfrak {d}}({\mathfrak {A}}_{4}, {\mathfrak {A}}_{1})\) | − 0.1397 | − 0.1153 | 0.7376 | − 0.0737 | − 0.0365 |
\({\mathfrak {d}}({\mathfrak {A}}_{4}, {\mathfrak {A}}_{2})\) | − 0.0208 | 0.1157 | − 0.0496 | 0.0149 | 0.0015 |
\({\mathfrak {d}}({\mathfrak {A}}_{4}, {\mathfrak {A}}_{3})\) | − 0.0452 | − 0.2300 | − 0.0609 | − 0.0351 | − 0.0052 |
\({\mathfrak {d}}({\mathfrak {A}}_{4}, {\mathfrak {A}}_{5})\) | 0.0195 | 0.0871 | 0.0274 | 0.0490 | 0.0099 |
\({\mathfrak {d}}({\mathfrak {A}}_{5}, {\mathfrak {A}}_{1})\) | − 0.1592 | − 0.2024 | − 0.7590 | − 0.1227 | 0.0313 |
\({\mathfrak {d}}({\mathfrak {A}}_{5}, {\mathfrak {A}}_{2})\) | − 0.0403 | 0.0286 | − 0.0770 | − 0.3410 | − 0.0084 |
\({\mathfrak {d}}({\mathfrak {A}}_{5}, {\mathfrak {A}}_{3})\) | − 0.0647 | − 0.1101 | − 0.0883 | − 0.0841 | − 0.0151 |
\({\mathfrak {d}}({\mathfrak {A}}_{5}, {\mathfrak {A}}_{4})\) | − 0.0195 | − 0.0871 | − 0.0274 | − 0.0490 | − 0.0099 |
