基于多目标规划的模糊DEA有效性  

Fuzzy DEA efficiency based on multiple programming

作　　者：彭煜[1] 

机构地区：[1]西南交通大学经济管理学院

出　　处：《系统工程学报》2004年第5期548-552,共5页Journal of Systems Engineering

基　　金：国家自然科学基金资助项目(70273024);四川省教育厅科研基金资助项目(2002A031).

摘　　要：传统的DEA模型是通过单目标的线性规划来处理刚性数据,为了更好地评价决策单元的相对有效性问题,在多目标规划的基础上,建立了模糊DEA模型,通过取截集的方法,得到相应的悲观规划和乐观规划,并分别求得与之相应的线性规划(P2)的最优值,由此可以得到更多的关于决策单元的投入和产出情况的信息,还讨论了它们的一些性质,并用数值实例加以说明.The conventional data envelopment analysis (DEA) models for measuring the relative efficiencies of a set of decision making unit (DMU) via single objective linear programming are limited to crisp data. In order to improve assessing the relative efficiencies of DMU, a fuzzy DEA model based on the multiple objective programming is formulated. It can deal with the DMUs with fuzzy data. By applying α cut set approach, from the pessimistic and optimistic viewpoints, the fuzzy DEA model is transformed into a pair of crisp DEA models. Thus, two optimal values of linear programming(P2) related the pair of the model respectivly can be obtained. More information of the inputs and outputs is derived from that. Some properties about these models have been discussed. Finally, an numerical example is shown as an illustration.

关 键 词：多目标规划 模糊DEA 有效性 数据包络分析 截集 线性规划 

分 类 号：O221.1[理学—运筹学与控制论] N94[理学—数学]