Table 8 Aggregated weighted preference function.

From: Decision support system based on AHP and PROMETHEE under rough pythagorean fuzzy set information for selection of basketball team

\({\$(\varPhi }_{1}-{\varPhi }_{2})\)

\(\left(\begin{array}{c}\left[\text{0.0126,0.1701},\right],\\ \left[\text{0,0.0882}\right]\end{array}\right)\)

\(\left(\begin{array}{c}\left[\text{0.0055,0}\right],\\ \left[\text{0,0}\right]\end{array}\right)\)

\(\left(\begin{array}{c}\left[\text{0.0342,0}\right],\\ \left[\text{0.0152,0.114}\right]\end{array}\right)\)

\(\left(\begin{array}{c}\left[\text{0.0133,0}\right],\\ \left[\text{0.0364,0}\right]\end{array}\right)\)

\({\$(\varPhi }_{1}-{\varPhi }_{3})\)

\(\left(\begin{array}{c}\left[\text{0,0.1008}\right],\\ \left[\text{0.0189,0.1701}\right]\end{array}\right)\)

\(\left(\begin{array}{c}\left[\text{0.0451,0}\right],\\ \left[\text{0.0286,0}\right]\end{array}\right)\)

\(\left(\begin{array}{c}\left[\text{0,0}\right],\\ \left[\text{0.0133,0}\right]\end{array}\right)\)

\(\left(\begin{array}{c}\left[\text{0.0063,0}\right],\\ \left[\text{0.0287,0.0007}\right]\end{array}\right)\)

\({\$(\varPhi }_{1}-{\varPhi }_{4)}\)

\(\left(\begin{array}{c}\left[\text{0,0.0882}\right],\\ \left[\text{0.0567,0}\right]\end{array}\right)\)

\(\left(\begin{array}{c}\left[\text{0.0066,0.088}\right],\\ \left[\text{0.0209,0}\right]\end{array}\right)\)

\(\left(\begin{array}{c}\left[\text{0.0418,0}\right],\\ \left[\text{0.0475,0}\right]\end{array}\right)\)

\(\left(\begin{array}{c}\left[\text{0,0.0042}\right],\\ \left[\text{0.0112,0}\right]\end{array}\right)\)

\({\$(\varPhi }_{2}-{\varPhi }_{1})\)

\(\left(\begin{array}{c}\left[\text{0,0}\right],\\ \left[\text{0.0315,0}\right]\end{array}\right)\)

\(\left(\begin{array}{c}\left[\text{0,0.0154}\right],\\ \left[\text{0.0022,0.0297}\right]\end{array}\right)\)

\(\left(\begin{array}{c}\left[\text{0,0.0304}\right],\\ \left[\text{0,0}\right]\end{array}\right)\)

\(\left(\begin{array}{c}\left[\text{0,0.0035}\right],\\ \left[\text{0,0.007}\right]\end{array}\right)\)

\({\$(\varPhi }_{2}-{\varPhi }_{3})\)

\(\left(\begin{array}{c}\left[\text{0,0}\right],\\ \left[\text{0.0504,0.0819}\right]\end{array}\right)\)

\(\left(\begin{array}{c}\left[\text{0.0396,0.0044}\right],\\ \left[\text{0.0308,0}\right]\end{array}\right)\)

\(\left(\begin{array}{c}\left[\text{0,0}\right],\\ \left[\text{0,0}\right]\end{array}\right)\)

\(\left(\begin{array}{c}\left[\text{0,0}\right],\\ \left[\text{0,0.0077}\right]\end{array}\right)\)

\({\$(\varPhi }_{2}-{\varPhi }_{4})\)

\(\left(\begin{array}{c}\left[\text{0,0}\right],\\ \left[\text{0.0882,0}\right]\end{array}\right)\)

\(\left(\begin{array}{c}\left[\text{0.0011,0.0242}\right],\\ \left[\text{0.0231,0.0121}\right]\end{array}\right)\)

\(\left(\begin{array}{c}\left[\text{0.0076,0.0076}\right],\\ \left[\text{0.0323,0}\right]\end{array}\right)\)

\(\left(\begin{array}{c}\left[\text{0,0.0077}\right],\\ \left[\text{0,0}\right]\end{array}\right)\)

\({\$(\varPhi }_{3}-{\varPhi }_{1})\)

\(\left(\begin{array}{c}\left[\text{0.0441,0}\right],\\ \left[\text{0,0}\right]\end{array}\right)\)

\(\left(\begin{array}{c}\left[\text{0,0.011}\right],\\ \left[\text{0,0.0418}\right]\end{array}\right)\)

\(\left(\begin{array}{c}\left[\text{0.0057,0.0513}\right],\\ \left[\text{0,0.0304}\right]\end{array}\right)\)

\(\left(\begin{array}{c}\left[\text{0,0.0084}\right],\\ \left[\text{0,0}\right]\end{array}\right)\)

\({\$(\varPhi }_{3}-{\varPhi }_{2})\)

\(\left(\begin{array}{c}\left[\text{0.0567,0.0693}\right],\\ \left[\text{0,0}\right]\end{array}\right)\)

\(\left(\begin{array}{c}\left[\text{0,0}\right],\\ \left[\text{0,0.0121}\right]\end{array}\right)\)

\(\left(\begin{array}{c}\left[\text{0.0399,0.0209}\right],\\ \left[\text{0.0019,0.0418}\right]\end{array}\right)\)

\(\left(\begin{array}{c}\left[\text{0.007,0.0049}\right],\\ \left[\text{0.0077,0}\right]\end{array}\right)\)

\({\$(\varPhi }_{3}-{\varPhi }_{4})\)

\(\left(\begin{array}{c}\left[\text{0,0}\right],\\ \left[\text{0.0378,0}\right]\end{array}\right)\)

\(\left(\begin{array}{c}\left[\text{0,0.0198}\right],\\ \left[\text{0,0.0242}\right]\end{array}\right)\)

\(\left(\begin{array}{c}\left[\text{0.0475,0.0285}\right],\\ \left[\text{0.0342,0}\right]\end{array}\right)\)

\(\left(\begin{array}{c}\left[\text{0,0.0126}\right],\\ \left[\text{0,0}\right]\end{array}\right)\)

\({\$(\varPhi }_{4}-{\varPhi }_{1})\)

\(\left(\begin{array}{c}\left[\text{0.1008,0}\right],\\ \left[\text{0,0.0378}\right]\end{array}\right)\)

\(\left(\begin{array}{c}\left[\text{0,0}\right],\\ \left[\text{0,0.0176}\right]\end{array}\right)\)

\(\left(\begin{array}{c}\left[\text{0,0.0264}\right],\\ \left[\text{0,0.0646}\right]\end{array}\right)\)

\(\left(\begin{array}{c}\left[\text{0.0063,0}\right],\\ \left[\text{0,0.0098}\right]\end{array}\right)\)

\({\$(\varPhi }_{4}-{\varPhi }_{2})\)

\(\left(\begin{array}{c}\left[\text{0.1134,0.0819}\right],\\ \left[\text{0,0.126}\right]\end{array}\right)\)

\(\left(\begin{array}{c}\left[\text{0,0}\right],\\ \left[\text{0,0}\right]\end{array}\right)\)

\(\left(\begin{array}{c}\left[\text{0,0}\right],\\ \left[\text{0,0.076}\right]\end{array}\right)\)

\(\left(\begin{array}{c}\left[\text{0.0196,0}\right],\\ \left[\text{0.0252,0.0028}\right]\end{array}\right)\)

\({\$(\varPhi }_{4}-{\varPhi }_{3})\)

\(\left(\begin{array}{c}\left[\text{0.0567,0.0126}\right],\\ \left[\text{0,0.2079}\right]\end{array}\right)\)

\(\left(\begin{array}{c}\left[\text{0.0385,0}\right],\\ \left[\text{0.0077,0}\right]\end{array}\right)\)

\(\left(\begin{array}{c}\left[\text{0,0}\right],\\ \left[\text{0,0.0342}\right]\end{array}\right)\)

\(\left(\begin{array}{c}\left[\text{0.0126,0}\right],\\ \left[\text{0.0175,0.0105}\right]\end{array}\right)\)

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