Table 11 PFM \(\Phi^{\chi } = \left[ {\phi_{jli}^{\chi } } \right]_{4 \times 4 \times 8}\) considering graduate students’ preferences.
\(\vartheta_{1}\) | \(\vartheta_{2}\) | |||||||
|---|---|---|---|---|---|---|---|---|
\(\gamma_{1}^{\chi }\) | \(\gamma_{2}^{\chi }\) | \(\gamma_{3}^{\chi }\) | \(\gamma_{4}^{\chi }\) | \(\gamma_{1}^{\chi }\) | \(\gamma_{2}^{\chi }\) | \(\gamma_{3}^{\chi }\) | \(\gamma_{4}^{\chi }\) | |
\(\chi_{1}\) | (0.72,0.77) | (0.55,0.78) | (0.6,0.66) | (0.74,0.74) | (0.75,0) | (0.56,0.79) | (0.61,0.67) | (0.74,0.76) |
\(\chi_{2}\) | (0,0.81) | (0.65,0) | (0,0.67) | (0.3,0.76) | (0.78,0) | (0.47,0.68) | (0.59,0.52) | (0.35,0.71) |
\(\chi_{3}\) | (0,0.76) | (0.65,0.6) | (0.59,0.61) | (0.51,0.72) | (0.49,0.71) | (0.67,0.57) | (0.51,0.65) | (0.44,0.75) |
\(\chi_{4}\) | (0.69,0.62) | (0.73,0.63) | (0.63,0.72) | (0.49,0.75) | (0.71,0.62) | (0.7,0.65) | (0.64,0.72) | (0.49,0.75) |
\(\vartheta_{3}\) | \(\vartheta_{4}\) | |||||||
|---|---|---|---|---|---|---|---|---|
\(\gamma_{1}^{\chi }\) | \(\gamma_{2}^{\chi }\) | \(\gamma_{3}^{\chi }\) | \(\gamma_{4}^{\chi }\) | \(\gamma_{1}^{\chi }\) | \(\gamma_{2}^{\chi }\) | \(\gamma_{3}^{\chi }\) | \(\gamma_{4}^{\chi }\) | |
\(\chi_{1}\) | (0.75,0) | (0.42,0.78) | (0.6,0.55) | (0,0.76) | (0.64,0.69) | (0.48,0.69) | (0.51,0.63) | (0.76,0) |
\(\chi_{2}\) | (0.73,0.76) | (0.65,0.71) | (0.75,0.63) | (0.46,0.78) | (0.75,0.68) | (0.53,0.71) | (0.73,0.57) | (0.43,0.68) |
\(\chi_{3}\) | (0.56,0.7) | (0,0.66) | (0.62,0.61) | (0.48,0.73) | (0.54,0.74) | (0.64,0.66) | (0.61,0.64) | (0.48,0.8) |
\(\chi_{4}\) | (0.73,0) | (0.74,0.66) | (0.66,0.75) | (0.51,0.78) | (0.7,0.58) | (0.69,0.6) | (0.64,0.67) | (0.43,0.77) |
\(\vartheta_{5}\) | \(\vartheta_{6}\) | |||||||
|---|---|---|---|---|---|---|---|---|
\(\gamma_{1}^{\chi }\) | \(\gamma_{2}^{\chi }\) | \(\gamma_{3}^{\chi }\) | \(\gamma_{4}^{\chi }\) | \(\gamma_{1}^{\chi }\) | \(\gamma_{2}^{\chi }\) | \(\gamma_{3}^{\chi }\) | \(\gamma_{4}^{\chi }\) | |
\(\chi_{1}\) | (0.72,0.7) | (0,0.8) | (0.55,0.59) | (0.63,0.72) | (0,0.8) | (0.41,0.72) | (0.46,0.6) | (0.65,0.63) |
\(\chi_{2}\) | (0.69,0.78) | (0.64,0.69) | (0.69,0.61) | (0,0.8) | (0,0.82) | (0.66,0.77) | (0.77,0.68) | (0.51,0.8) |
\(\chi_{3}\) | (0.41,0.67) | (0.53,0.5) | (0.48,0.51) | (0.35,0.77) | (0,0.76) | (0.7,0.66) | (0.63,0.67) | (0.53,0.8) |
\(\chi_{4}\) | (0.6,0.51) | (0.62,0.52) | (0.5,0.57) | (0.35,0.69) | (0.72,0) | (0.72,0.58) | (0.55,0.74) | (0.43,0.74) |
\(\vartheta_{7}\) | \(\vartheta_{8}\) | |||||||
|---|---|---|---|---|---|---|---|---|
\(\gamma_{1}^{\chi }\) | \(\gamma_{2}^{\chi }\) | \(\gamma_{3}^{\chi }\) | \(\gamma_{4}^{\chi }\) | \(\gamma_{1}^{\chi }\) | \(\gamma_{2}^{\chi }\) | \(\gamma_{3}^{\chi }\) | \(\gamma_{4}^{\chi }\) | |
\(\chi_{1}\) | (0.57,0.78) | (0.43,0.78) | (0.6,0.56) | (0.67,0.65) | (0.73,0.78) | (0.54,0.8) | (0.61,0.65) | (0.75,0.74) |
\(\chi_{2}\) | (0.67,0.77) | (0.58,0.68) | (0.74,0.59) | (0.42,0.79) | (0.77,0.79) | (0.64,0.76) | (0.74,0.67) | (0.49,0.79) |
\(\chi_{3}\) | (0.48,0.61) | (0.61,0.55) | (0.55,0.56) | (0.39,0.78) | (0.53,0.75) | (0.67,0.62) | (0.58,0.65) | (0.48,0.78) |
\(\chi_{4}\) | (0.55,0.49) | (0.62,0.52) | (0.66,0) | (0.35,0.69) | (0.7,0.58) | (0.74,0) | (0.56,0.74) | (0.44,0.74) |
