区间数动态多属性决策的VIKOR扩展方法  

Extended VIKOR method for dynamic multi-attribute decision making with interval numbers

作　　者：苏志欣[1] 王理[1] 夏国平[1] 

机构地区：[1]北京航空航天大学经济管理学院,北京100191

出　　处：《控制与决策》2010年第6期836-840,846,共6页Control and Decision

基　　金：国家自然科学基金项目(70971005;90924020);国家科技支撑计划重大专项(2006BAK04A23);教育部博士点基金项目(200800060005)

摘　　要：针对各决策阶段的时间权重以及属性权重已知,属性值以区间数形式给出的动态多属性决策问题,提出一种新的决策方法.该方法依据传统多准则妥协解排序法(VIKOR)的基本思路,结合区间数的运算规则,计算各阶段各方案的评价值,进而引入不确定动态加权平均(UDWA)算子进行集成,以获取各方案整体评价值的区间数.借助于区间数两两比较的可能度公式和模糊互补判断矩阵公式,对其进行比较,从而得到整个方案集的排序.最后以第3方逆向物流服务商的选择为实例进行分析,所得结果表明了该方法的可行性和有效性.With respect to dynamic multiple attribute decision making problem,in which period weights and attribute weights of each period are given and attribute values at different periods are expressed in interval numbers,and a new decision making method is presented.According to the basic concept of the traditional VIKOR（Multicriteria optimization and compromise solution） method,integrating the operations of interval numbers,the evaluation values of each alternative at different periods are calculated.The total evaluation values of each alternative in interval numbers are obtained by the introduction of UDWA（Uncertain dynamic weighted averaging） operator.Then,based on the possibility degree formula for the comparison between interval numbers and the priority formula of fuzzy complementary judgment matrix,the ranking of alternatives is obtained.A case study of a third-party reverse logistics providers（3PRLPs） selection is analyzed,and the results show the feasibility and efficiency of this proposed method.

关 键 词：动态多属性决策 区间数 可能度 不确定动态加权平均算子 多准则妥协解排序法 

分 类 号：C934[经济管理—管理学]