Incorporating intelligence in multiple-attribute decision-making using algorithmic framework and double-valued neutrosophic sets: Varied applications to teaching quality evaluation

In recent years, in the context of the rapid development of “Internet plus”, the traditional classroom of college English courses has been unable to meet the learning needs of contemporary college students. Education informatization has become an inevitable transformation of the teaching structure of colleges and universities. Online and offline hybrid teaching methods have emerged at the historic moment and continue to deepen into the classroom of higher vocational colleges. By further improving the teaching mode, traditional offline classrooms and emerging online learning are deeply integrated. After several teaching practices, it has been found that this teaching model can effectively enrich teaching methods and optimize the learning experience of students. However, there are also some problems, such as poor effective integration and integration of online and offline teaching content, and the need to improve teaching quality. The blended English teaching quality evaluation in vocational colleges in the new era is a multiple-attribute decision-making (MADM) problem. Recently, the Logarithmic TODIM (LogTODIM) technique and GRA technique has been utilized to cope with MADM issues. The double-valued neutrosophic sets (DVNSs) are utilized as a technique for characterizing uncertain information during the blended English teaching quality evaluation in vocational colleges in the new era. In this paper, the double-valued neutrosophic number Logarithmic TODIM-GRA (DVNN-LogTODIM-GRA) technique is conducted to solve the MADM under DVNSs. In the end, a numerical case study for the blended English teaching quality evaluation in vocational colleges in the new era is employed to validate the proposed technique. The main contribution of this paper is managed:(1) The entropy technique is managed to obtain weight values under DVNSs; (2) an integrated DVNN-LogTODIM-GRA technique is conducted to manage the MADM; (3) A numerical example for the blended English teaching quality evaluation in vocational colleges in the new era has been accomplished to verify the DVNN-LogTODIM-GRA technique.