带有灰色决策单元的广义DEA模型及其漂移型解法  

A Generalized DEA Model with Grey Decision Units and Its Drift Type Solution

作　　者：张雪怡 马生昀[1] 马占新[3] 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)

机构地区：[1]内蒙古农业大学理学院,内蒙古呼和浩特010018 [2]安琪酵母股份有限公司,湖北宜昌443003 [3]内蒙古大学经济管理学院,内蒙古呼和浩特010021

出　　处：《数学的实践与认识》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)。

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.

关 键 词：广义灰色DEA模型 灰色理论 决策单元 样本单元 DEA有效 漂移型解法 

分 类 号：N941.5[自然科学总论—系统科学]