改进型双基点多指标多方案排序法  

Improved TOPSIS Multiindex and Multiproject Sequencing Method

作　　者：夏曦[1] 崔晋川[1] 

机构地区：[1]中国科学院数学与系统科学研究院应用数学研究所,北京100080

出　　处：《运筹与管理》2006年第5期17-23,共7页Operations Research and Management Science

基　　金：中国科学院管理;决策与信息系统重点实验室资助项目(3501600)

摘　　要：本文针对双基点法及其一系列改进方法的不足,借鉴DEA方法的“相对效率”和变权思想,对一类多指标多方案评价与排序问题给出了一种合理的评价方法并得出了排序结果。双基点法中权值的设定反映了决策者对评价指标的偏好,但在某种程度上而言,这样的设定过于依赖决策者的主观判断,其合理性和公平性有待商榷。而DEA方法不受任何人为因素的影响,仅依赖被评价方案对应于所考虑因素的状态值,其特点是它在评价某个方案时,从该方案在方案集中的相对效率出发,选择最有利于该方案的权,若变动这组权,只会使该方案在方案集中的排序结果要么不变要么更差。文章进一步对多个方案的相对效率为1的情形给出改进方法,最后选用两个实例加以说明。Aimed at the shortage of TOPSIS and a series of related improved methods, this article gives a reasonable evaluation method with its sequencing result for a class of multiindex and multiproject appraising and ordering problem by using the ideas of ＂relative efficiency＂ and change power in DEA for reference. The power setting in TOPSIS reflects the partiality of decision maker for the evaluating index, but to some extent, such setting less than either rational or impartial over-relies on the subjective evaluation of the decision maker. While DEA, just tied to the values of indexes corresponding to the projects without any impact of artificial factors, chooses the most advantageous power from the perspective in ＂relative efficiency＂ for the project when e- valuated. If the power vector is changed, the order of the project in the set will be changeless if not getting worse. The paper further analyses the special case that the＂relative efficiency＂ of several projects equals 1 and gives an improved method. Examples are presented and discussed at last.

关 键 词：多指标多方案排序法 数据包络分析(DEA) 双基点法 相对效率 决策单元 

分 类 号：N945.16[自然科学总论—系统科学]