A combined exponential TODIM-GRA framework for multiple-attribute group decision-making under 2-tuple linguistic Pythagorean fuzzy sets and applications to art teaching quality evaluation in higher education institutions

With the increasing number of students majoring in art in universities, the improvement of the quality of art teaching in universities is becoming increasingly important. However, due to the unique characteristics of art teaching compared to other majors, in order to improve the quality of art teaching, it is necessary to follow the individual characteristics of art majors and students, and establish corresponding systems to ensure the steady improvement of teaching quality, while taking students as the main body. Thus, the overall quality of cultivating art talents in universities can be improved. The art education quality evaluation in higher education institutions is MAGDM. In recent years, the Exponential TODIM (ExpTODIM) and grey relational analysis (GRA) technique was employed to deal with MAGDM. The 2-tuple linguistic Pythagorean fuzzy sets (2TLPFSs) are employed as an effective tool for expressing uncertain decision information during the art teaching quality evaluation in higher education institutions. In this paper, the 2-tuple linguistic Pythagorean fuzzy number Exponential TODIM-GRA (2TLPFN-ExpTODIM-GRA) technique is implemented to deal with MAGDM under 2TLPFNs. Finally, a numerical example for art teaching quality evaluation in higher education institutions is implemented to verify the proposed technique. The research contributions of this work are outlined: (1) the entropy technique is employed to conduct the attribute’s weight; (2) the 2TLPFN-ExpTODIM-GRA technique is implemented to implement the MAGDM under 2TLPFNs; (3) a numerical example for art teaching quality evaluation in higher education institutions and several comparative analysis is employed to validate the 2TLPFN-ExpTODIM-GRA technique.