基于不确定AHP和白化权函数的大学生数学自学能力评价

The Evaluation of Mathematics Self-study Ability of College Students Based on Uncertain AHP and Whitening Weight Function

针对大学生数学自学能力定量评价的多因素特点,提出了一种基于不确定型层次分析法和白化权函数的大学生数学自学能力定量评价的方法;首先分析影响大学生数学自学能力的影响因素,建立大学生自学能力指标体系;其次通过引入最优传递矩阵,使层次分析法中的判断矩阵自然满足一致性,从而得到各级指标的权重;再次构建基于白化权函数的数学自学能力评价模型,建立白化权函数,求出各级指标的灰色评价权重矩阵;最后将该模型应用于综合评价大学生自主学习能力;结果表明:此模型减少了评价者主观因素的影响,给出了比较客观的评价结果,能够高效地定量评价大学生数学自学能力。

According to the multivariate characteristics of college students’ self-learning ability in mathematics evaluation,a method of quantitative evaluation of students’ self-learning ability in mathematics is proposed. Firstly,we set up an index system for self-study ability of college students by analyzing the influencing factors of college students’ self-learning ability. Secondly,by introducing the optimal transfer matrix,the consistency of judgment matrix in AHP can be naturally satisfied,and the AHP weights at all levels are obtained. Then,we build an evaluation model of self-study ability of college students based on whitening weight function. Finally,we establish the whitening weight function,obtain the grey evaluation weight matrix of indexes at all levels and make a comprehensive evaluation of college students’ self-learning ability in mathematics through examples. The results show that the model is reasonable,feasible and effective because this model can decrease the influence of subjective factors of evaluators.