基于“功能驱动”和“差异驱动”原理的灰关联贴近度决策方法  

Grey incidence decision-making method of close degree based on the principle of “function driver” and “difference driver”

作　　者：蒋诗泉[1,2] 刘思峰[1] 刘中侠[3] 方志耕[1] 

机构地区：[1]南京航空航天大学经济与管理学院,南京210016 [2]铜陵学院数学与计算机学院,安徽铜陵244000 [3]铜陵学院财税与公共管理学院,安徽铜陵244000

出　　处：《控制与决策》2016年第1期84-90,共7页Control and Decision

基　　金：国家自然科学基金项目(71171113);安徽省高校人文社会科学研究项目(SK2015A537);安徽省自然科学基金项目(1208085MG121)

摘　　要：针对决策过程中指标权重确定问题,在分析基于"功能驱动"原理和"差异驱动"原理的主客观赋权方法优缺点的基础上,利用灰色关联度和逼近理想解方法 (TOPSIS)的思想,考虑各指标间可能产生相互影响,以数据包络分析(DEA)和层次分析法(AHP)为辅助模型,构造一种基于面积的度量方法,并以两个方案相邻指标之间构成的多边形面积为关联系数的灰色关联贴近度决策模型,分别计算各方案的灰色关联贴近度,使得权重的确定能够同时反映主客观要求与变换趋势的一致性.最后通过实例分析表明了所提出方法的科学性和实用性.To determine the index weight in the decision-making process, the advantages and disadvantages of subjective and objective empower methods based on the principle of＂function drive＂and＂difference drive＂are analyzed, and the grey correlation and technique for order preference by similarty to ideal solution（TOPSIS） are used, considering the probable influence of the indexes on each other as well as taking data envelopment analysis（DEA） and analytic hierarchy process（AHP）as the auxiliary models, to construct an area-based measurement. By using the coefficient which is the area between two adjacent points, the decision-making model of grey correlation is adopted, to calculate the closeness degree of grey correlation in each scheme to ensure that the index weight reflects the subjective and objective degrees and the consistency of changes at the same time. Example analysis shows that the proposed method is scientific and practical.

关 键 词：数据包络分析 层次分析法 逼近理想解方法 灰色关联贴近度 

分 类 号：N941.5[自然科学总论—系统科学]