Quantitative Analysis and Modeling of Student Innovation Capability in Higher Education Management in an Innovative and Entrepreneurial Environment

Colleges and universities often focus on cultivating talent, a practice that directly contributes to the lack of creativity among their students. In light of this, this paper aims to promote education reform and enhance students’ capacity for innovation. This paper constructs the evaluation index system and model of innovation ability of students in colleges and universities to promote the cultivation of innovative talents. Based on the AHP model to determine the index weight of each evaluation factor, with the help of gray correlation to analyze the relationship of each evaluation index, the decision matrix is established, and the gray comprehensive judgment model is constructed. We establish the evaluation sample matrix by using the whitened weight function to determine the evaluation gray class. We then calculate the gray evaluation coefficients, weight vectors, and weight matrices to arrive at a comprehensive evaluation of innovative ability. This paper employs the Hebei University of Technology in China as its research site and applies its methodology to evaluate the innovation capacity of its students. The comprehensive evaluation value of the students’ innovative abilities is only 6.67, placing them at the medium level. The maximum relative error between the evaluation mean value of each specific index at the index level and the expert evaluation result is 1.84%. In terms of the satisfaction of the evaluation method, the satisfaction mean value of this paper’s method exceeds that of the expert evaluation method in the dimensions of the evaluation concept, the evaluation subject, the evaluation method, the evaluation indexes, the evaluation procedure, and the application of the evaluation result, which are respectively 0.14, 1.25, 1.43, 0.7, 1.45, and 0.49.