青少年体质健康模糊综合评价模型构建研究

Research on Fuzzy Comprehensive Evaluation Model of Adolescent Physical Health

明确了青少年体质健康评价的内涵与意义,对模型进行了充分的分析和客观的假设,以某省2016年中学生体质健康测试数据为蓝本,采用分层随机抽样的方法,随机抽取1 200名中学生为研究对象,科学建构了青少年体质健康模糊综合评价模型.其构建过程为:对随机抽取的男、女学生所对应的体测结果,采用灰关联法分别求得相关系数r_i,根据权重计算公式λ_i=r_i/sum from i=1 to 7r_i得出各项体质测试指标在整个体测中的权重向量λ_i.确立体质健康状况的等级域,且将等级数值化,即有U×V上每个有序对(x_i,y_i)的隶属度,建立关于等级制度的隶属度函数,基于该函数得到评价指标与等级是一个6×4阶的模糊关系矩阵,最后将各层评价指标的权重与模糊关系矩阵进行模糊算子处理,得出体质健康状况的综合模糊评价结果.

This paper clarifies the connotation and significance of adolescent physique health evaluation,makes full analysis and objective hypothesis on the model,takes the data of the physical health test of middle school students in a province in 2016 as the blueprint,adopts the method of stratified random sampling,randomly selects 1200 middle school students as the research object,and scientifically constructs the fuzzy comprehensive evaluation model for adolescents'physical health.The construction process is as follows:the correlation coefficients r i of the corresponding physical test results of male and female students are obtained by grey correlation method,and the weight vectorsλi of each physical fitness test index in the whole physical test are obtained according to the weight calculation formulaλi=r i∑7 i=1 r i.Establish the hierarchical domain of physical health status,and numerize the hierarchy,that is,there are membership degrees of each ordered pair(x i,y i)on the hierarchical system U×V,establish membership functions.Based on this function,the evaluation index and grade are a 6×4 fuzzy relation matrix of one order.Finally,the weight of each evaluation index and fuzzy relation matrix are processed by fuzzy operator,and the comprehensive fuzzy evaluation result of physical health condition is obtained.