基于截段矩阵的学生综合成绩排名

Scholastic Comprehensive Marks Ranking Based on Cut Segment Matrix

模糊数学无论在理论研究方面，还是在应用研究方面，都已取得了长足的发展。入一截矩阵是模糊集理论的一重要概念，在各种排序中有着重要的应用。文[2]推广了入一截矩阵的定义，给出了[λ，μ]一截段矩阵定义，并讨论了它的一些性质。然而，文[2]并没有对截段矩阵的应用做进一步的探讨。在此基础上，进一步探讨截段矩阵的应用，提出了一种基于截段矩阵的学生综合成绩排名方法。应用示例表明：与传统的总分法相比，该方法更具有客观性；与加权平均法、平均绩点法相比，该方法应用范围更广泛。

Fuzzy mathematics has good progress in both theory investigation and application study. The λ-cut matrix is an important concept of fuzzy theories, and widely used in a variety of rankings. The definition of the cut segment matrix is generalized and investigation into its several properties is given in [2]. However, practices application of the cut segment matrix doesn＇t make a further investigation in [2].Based on this, this paper further investigates the cut segment matrix used in scholastic comprehensive marks ranking. The given demonstration shows that this method is better objective than the traditional total scores, and has more widespread use in practice comparing with add-weight average and average mark points.