Table 3 LTM \(S^{\vartheta } = \left[ {s_{itj}^{\vartheta } } \right]_{8 \times 4 \times 4}\) of graduate students for supervisors.

From: Graduate students and supervisors matching decision-making considering stability-based fairness based on TOPSIS and grey correlation degrees

 

\(\chi_{1}\)

\(\chi_{2}\)

\(\chi_{3}\)

\(\chi_{4}\)

\(\gamma_{1}^{\vartheta }\)

\(\gamma_{2}^{\vartheta }\)

\(\gamma_{3}^{\vartheta }\)

\(\gamma_{4}^{\vartheta }\)

\(\gamma_{1}^{\vartheta }\)

\(\gamma_{2}^{\vartheta }\)

\(\gamma_{3}^{\vartheta }\)

\(\gamma_{4}^{\vartheta }\)

\(\gamma_{1}^{\vartheta }\)

\(\gamma_{2}^{\vartheta }\)

\(\gamma_{3}^{\vartheta }\)

\(\gamma_{4}^{\vartheta }\)

\(\gamma_{1}^{\vartheta }\)

\(\gamma_{2}^{\vartheta }\)

\(\gamma_{3}^{\vartheta }\)

\(\gamma_{4}^{\vartheta }\)

\(\vartheta_{1}\)

\(s_{5}\)

\(s_{5}\)

\(s_{2}\)

\(s_{3}\)

\(s_{6}\)

\(s_{4}\)

\(s_{3}\)

\(s_{6}\)

\(s_{2}\)

\(s_{6}\)

\(s_{4}\)

\(s_{5}\)

\(s_{3}\)

\(s_{4}\)

\(s_{5}\)

\(s_{4}\)

\(\vartheta_{2}\)

\(s_{1}\)

\(s_{5}\)

\(s_{6}\)

\(s_{2}\)

\(s_{4}\)

\(s_{4}\)

\(s_{3}\)

\(s_{4}\)

\(s_{5}\)

\(s_{6}\)

\(s_{2}\)

\(s_{4}\)

\(s_{2}\)

\(s_{5}\)

\(s_{3}\)

\(s_{4}\)

\(\vartheta_{3}\)

\(s_{4}\)

\(s_{3}\)

\(s_{2}\)

\(s_{6}\)

\(s_{3}\)

\(s_{5}\)

\(s_{2}\)

\(s_{3}\)

\(s_{4}\)

\(s_{5}\)

\(s_{3}\)

\(s_{5}\)

\(s_{1}\)

\(s_{4}\)

\(s_{2}\)

\(s_{5}\)

\(\vartheta_{4}\)

\(s_{4}\)

\(s_{5}\)

\(s_{2}\)

\(s_{6}\)

\(s_{4}\)

\(s_{6}\)

\(s_{5}\)

\(s_{4}\)

\(s_{4}\)

\(s_{4}\)

\(s_{6}\)

\(s_{1}\)

\(s_{4}\)

\(s_{6}\)

\(s_{3}\)

\(s_{2}\)

\(\vartheta_{5}\)

\(s_{5}\)

\(s_{4}\)

\(s_{5}\)

\(s_{4}\)

\(s_{5}\)

\(s_{3}\)

\(s_{4}\)

\(s_{5}\)

\(s_{6}\)

\(s_{4}\)

\(s_{2}\)

\(s_{6}\)

\(s_{2}\)

\(s_{3}\)

\(s_{4}\)

\(s_{6}\)

\(\vartheta_{6}\)

\(s_{6}\)

\(s_{3}\)

\(s_{4}\)

\(s_{5}\)

\(s_{2}\)

\(s_{5}\)

\(s_{5}\)

\(s_{2}\)

\(s_{5}\)

\(s_{3}\)

\(s_{5}\)

\(s_{3}\)

\(s_{4}\)

\(s_{4}\)

\(s_{6}\)

\(s_{3}\)

\(\vartheta_{7}\)

\(s_{3}\)

\(s_{6}\)

\(s_{5}\)

\(s_{3}\)

\(s_{4}\)

\(s_{4}\)

\(s_{6}\)

\(s_{4}\)

\(s_{5}\)

\(s_{5}\)

\(s_{2}\)

\(s_{5}\)

\(s_{5}\)

\(s_{5}\)

\(s_{3}\)

\(s_{5}\)

\(\vartheta_{8}\)

\(s_{2}\)

\(s_{2}\)

\(s_{6}\)

\(s_{5}\)

\(s_{5}\)

\(s_{2}\)

\(s_{3}\)

\(s_{5}\)

\(s_{4}\)

\(s_{4}\)

\(s_{6}\)

\(s_{3}\)

\(s_{2}\)

\(s_{5}\)

\(s_{6}\)

\(s_{4}\)