摘要
以广义DEA方法和灰色系统理论为基础,构建带有确定性样本单元和灰色决策单元的广义灰色DEA模型并对其进行初步研究.利用区间灰数白化方法对模型进行白化处理后求解模型的最优解,给出相应决策单元广义灰色DEA有效的概念,可以对决策单元进行的广义灰色DEA有效性进行评价.最后,通过算例分析表明本文给出的广义灰色DEA模型的可行性.
Based on the generalized DEA method and gray system theory,the generalized gray DEA model with constant sample units and stochastic decision making units is constructed and conducted preliminary research.The optimal solution of the model is solved by using interval gray number whitening method whiten it,the definition of generalized DEA efficiency of decision making unit is given,the generalized grey DEA efficiency of decision making unit can be evaluated.Finally,the feasibility of the generalized gray DEA model is shown through the analysis of a numerical example.
作者
张雪怡
马生昀
马占新
ZHANG Xue-yi;MA Sheng-yun;MA Zhan-xin(School of Science,Inner Mongolia Agricultural University,Hohhot 010018,China;Angel Yeast Co.,Ltd,Yichang 443003,China;School of Economics and Management,Inner Mongolia University,Hohhot 010021,China)
出处
《数学的实践与认识》
北大核心
2024年第8期168-176,共9页
Mathematics in Practice and Theory
基金
内蒙古自然科学基金(2022MS07014)
国家自然科学基金(71661027,72261030,12161065)。
