优秀教师评价的数学模型

这是一个涉及方案排序、优选方案的问题.本文首先建立该问题的数学模型,在对其求解过程中采用层次分析法(AHP),同时为了确保问题的合理性,在求解过程中对准则关于总目标的权重提出了两种修正方案,进一步保证了结果的公平性.然后,又以一个具体实例的求解过程,进一步解释了此问题的求解方法.在此问题的解决中,定性与定量相结合,同时将一些与人的主观思维相关的定性问题转化为定量问题,并且对问题进行系统分析.最后文章指出了本模型的优点与局限性,并且将模型方法进行推广.

The mathematics model of evaluating the excellent teachers

This is a question concerning the priorities of a decision. Firstly,the question's model was made.In addition,it was resolved by the analytic hierarchy process (AHP). Meanwhile, to assure the validity,two modified methods about weighting of overall aim are proposed.In doing so, we also assure the fairness of result. Then this approach is illustrated through a numerical example. During the resolving process of this question, we connect the intangibles to the tangibles, and we change some intangible question concerning logical thinking to tangible questions. Then, we systematically analyze this tangible question. At last, This paper set forth the merits and flaw of this model,and extend this model's approach.