Table 7 Preference matrix.

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

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

\(\left(\begin{array}{c}\left[\text{0.02,0.27}\right],\\ \left[\text{0,0.14}\right]\end{array}\right)\)

\(\left(\begin{array}{c}\left[\text{0.05,0}\right],\\ \left[\text{0,0}\right]\end{array}\right)\)

\(\left(\begin{array}{c}\left[\text{0.18,0}\right],\\ \left[\text{0.08,0.6}\right]\end{array}\right)\)

\(\left(\begin{array}{c}\left[\text{0.19,0}\right],\\ \left[\text{0.52,0}\right]\end{array}\right)\)

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

\(\left(\begin{array}{c}\left[0.,0.16\right],\\ \left[\text{0.03,0.27}\right]\end{array}\right)\)

\(\left(\begin{array}{c}\left[\text{0.41,0}\right],\\ \left[\text{0.26,0}\right]\end{array}\right)\)

\(\left(\begin{array}{c}\left[\text{0,0}\right],\\ \left[\text{0.07,0}\right]\end{array}\right)\)

\(\left(\begin{array}{c}\left[\text{0.09,0}\right],\\ \left[\text{0.41,0.01}\right]\end{array}\right)\)

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

\(\left(\begin{array}{c}\left[\text{0,0.14}\right],\\ \left[\text{0.09,0}\right]\end{array}\right)\)

\(\left(\begin{array}{c}\left[\text{0.06,0.08}\right],\\ \left[\text{0.19,0}\right]\end{array}\right)\)

\(\left(\begin{array}{c}\left[\text{0.22,0}\right],\\ \left[\text{0.25,0}\right]\end{array}\right)\)

\(\left(\begin{array}{c}\left[\text{0,0.06}\right],\\ \left[\text{0.16,0}\right]\end{array}\right)\)

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

\(\left(\begin{array}{c}\left[\text{0,0}\right],\\ \left[0.05, 0\right]\end{array}\right)\)

\(\left(\begin{array}{c}\left[\text{0,0.14}\right],\\ \left[\text{0.02,0.27}\right]\end{array}\right)\)

\(\left(\begin{array}{c}\left[\text{0,0.16}\right],\\ \left[\text{0,0}\right]\end{array}\right)\)

\(\left(\begin{array}{c}\left[\text{0,0.05}\right],\\ \left[\text{0,0.1}\right]\end{array}\right)\)

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

\(\left(\begin{array}{c}\left[\text{0,0}\right],\\ \left[\text{0.08,0.13}\right]\end{array}\right)\)

\(\left(\begin{array}{c}\left[\text{0.36,0.04}\right],\\ \left[\text{0.28,0}\right]\end{array}\right)\)

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

\(\left(\begin{array}{c}\left[\text{0,0}\right],\\ \left[\text{0,0.11}\right]\end{array}\right)\)

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

\(\left(\begin{array}{c}\left[\text{0,0}\right],\\ \left[\text{0.14,0}\right]\end{array}\right)\)

\(\left(\begin{array}{c}\left[\text{0.01,0.22}\right],\\ \left[\text{0.21,0.11}\right]\end{array}\right)\)

\(\left(\begin{array}{c}\left[\text{0.04,0.04}\right],\\ \left[\text{0.17,0}\right]\end{array}\right)\)

\(\left(\begin{array}{c}\left[\text{0,0.11}\right],\\ \left[\text{0,0}\right]\end{array}\right)\)

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

\(\left(\begin{array}{c}\left[\text{0.07,0}\right],\\ \left[\text{0,0}\right]\end{array}\right)\)

\(\left(\begin{array}{c}\left[\text{0,0.1}\right],\\ \left[\text{0,0.38}\right]\end{array}\right)\)

\(\left(\begin{array}{c}\left[\text{0.03,0.27}\right],\\ \left[\text{0,0.16}\right]\end{array}\right)\)

\(\left(\begin{array}{c}\left[\text{0,0.12}\right],\\ \left[\text{0,0}\right]\end{array}\right)\)

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

\(\left(\begin{array}{c}\left[\text{0.09,0.11}\right],\\ \left[\text{0,0}\right]\end{array}\right)\)

\(\left(\begin{array}{c}\left[\text{0,0}\right],\\ \left[\text{0,0.11}\right]\end{array}\right)\)

\(\left(\begin{array}{c}\left[\text{0.21,0.11}\right],\\ \left[\text{0.01,0.22}\right]\end{array}\right)\)

\(\left(\begin{array}{c}\left[\text{0.1,0.07}\right],\\ \left[\text{0.11,0}\right]\end{array}\right)\)

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

\(\left(\begin{array}{c}\left[\text{0,0}\right],\\ \left[\text{0.06,0}\right]\end{array}\right)\)

\(\left(\begin{array}{c}\left[\text{0,0.18}\right],\\ \left[\text{0,0.22}\right]\end{array}\right)\)

\(\left(\begin{array}{c}\left[\text{0.25,0.15}\right],\\ \left[\text{0.18,0}\right]\end{array}\right)\)

\(\left(\begin{array}{c}\left[\text{0,0.18}\right],\\ \left[\text{0,0}\right]\end{array}\right)\)

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

\(\left(\begin{array}{c}\left[\text{0.16,0}\right],\\ \left[\text{0,0.06}\right]\end{array}\right)\)

\(\left(\begin{array}{c}\left[\text{0,0}\right],\\ \left[\text{0,0.16}\right]\end{array}\right)\)

\(\left(\begin{array}{c}\left[\text{0,0.12}\right],\\ \left[\text{0,0.34}\right]\end{array}\right)\)

\(\left(\begin{array}{c}\left[\text{0.09,0}\right],\\ \left[\text{0,0.14}\right]\end{array}\right)\)

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

\(\left(\begin{array}{c}\left[\text{0.18,0.13}\right],\\ \left[\text{0,0.2}\right]\end{array}\right)\)

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

\(\left(\begin{array}{c}\left[\text{0,0}\right],\\ \left[\text{0,0.4}\right]\end{array}\right)\)

\(\left(\begin{array}{c}\left[\text{0.28,0}\right],\\ \left[\text{0.36,0.04}\right]\end{array}\right)\)

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

\(\left(\begin{array}{c}\left[\text{0.09,0.02}\right],\\ \left[\text{0,0.33}\right]\end{array}\right)\)

\(\left(\begin{array}{c}\left[\text{0.35,0}\right],\\ \left[\text{0.07,0}\right]\end{array}\right)\)

\(\left(\begin{array}{c}\left[\text{0,0}\right],\\ \left[\text{0,0.18}\right]\end{array}\right)\)

\(\left(\begin{array}{c}\left[\text{0.18,0}\right],\\ \left[\text{0.25,0.15}\right]\end{array}\right)\)

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