摘要
针对西部民族地区高校贫困生评定中界定模糊,难以精准这一实际问题,运用直觉梯形模糊数和TOPSIS算法综合评价,以提高贫困生评定的准确性与客观性。首先构建评定指标体系和混合模糊决策值表,定义直觉梯形模糊数得分函数,得出混合模糊决策矩阵,然后利用层次分析法确定各指标权重,根据TOPSIS算法对各学生进行综合比较排序,加以认定,最后通过数值算例对该评定方法的有效性与客观性进行了说明。
In view of the fact that the definition of impoverished students in universities of the western ethnic areas is vague and difficult to be precise,the intuitionistic trapezoidal fuzzy number and TOPSIS algorithm are used to comprehensively evaluate the accuracy and objectivity of identification of impoverished students.Firstly,the evaluation index system and the table of hybrid fuzzy decision value are constructed,and the intuitionistic trapezoidal fuzzy number scoring function is defined to obtain the hybrid fuzzy decision matrix.Secondly,the analytic hierarchy process is used to determine the weights of each index.And according to the TOPSIS algorithm,the students are comprehensively compared and sorted.Finally,the validity and objectivity of the evaluation method are illustrated by numerical examples.
出处
《应用数学进展》
2019年第8期1327-1335,共9页
Advances in Applied Mathematics
基金
湖南省大学生研究性学习和创新性实验计划项目“‘大数据’环境下的西部民族地区高校贫困生精准助学体系研究”(项目编号557号)
湖南省普通高等学校教学改革研究课题“新工科背景下民族地区地方大学创新创业教育实践研究——以吉首大学为例”(项目编号410号)。
