Measuring health education quality evaluation using single-valued neutrosophic multi-attribute decision-making

College students’ mental health education refers to the educational activities aimed at cultivating college students’ good psychological quality and promoting the harmonious development of college students’ body and mind by taking reasonable educational means and using scientific educational methods on the premise of respecting the laws and characteristics of college students’ physical and psychological development. The stage of higher education is the key stage to cultivate students’ optimistic and upward psychological quality. Most college students at this stage have some psychological health problems, such as lack of security, reluctance to contact with the outside world, timidity, inferiority complex, etc. Therefore, it is very necessary to strengthen the psychological education and guidance for college students. The mental health education (MHE) quality evaluation of colleges and university in the new era is a multiple attribute decision making (MADM). The single-valued neutrosophic sets (SVNSs) is a useful tool to represent the uncertain information during the MHE) quality evaluation of colleges and university. In such paper, the single-valued neutrosophic number Aczel-Alsina power geometric (SVNNAAPG) operator and the single-valued neutrosophic number Aczel-Alsina power weighted geometric (SVNNAAPWG) operator are produced based on the Aczel-Alsina operations and classical power geometric (PG) operator under SNNs. The SVNNAAPWG operator is constructed for MADM. Eventually, numerical example of MHE quality evaluation of colleges and university in the new era and some selected comparative analysis were employed to depict the advantage of SVNNAAPWG approach. The major contribution is produced: (1) some PG operators based on the Aczel-Alsina operations and classical PG operator under SVNNs; (2) the SVNNAAPG operator and the SVNNAAPWG operator are produced based on the Aczel-Alsina operations and classical PG operator under SNNs; (3) The SVNNAAPWG operator is constructed for MADM; (4) Eventually, an example about MHE quality evaluation of colleges and university in the new era and some selected comparative studies were constructed.