获得排序权重的一种目标规划法  

A Goal Programing Method for Deriving the Priority Weights

作　　者：郝颖娟 李继乾[1] 

机构地区：[1]曲阜师范大学运筹与管理学院,山东日照276826

出　　处：《咸阳师范学院学报》2008年第4期6-9,共4页Journal of Xianyang Normal University

基　　金：国家自然科学基金项目(10671108);山东省自然科学基金项目(Y2005A04)

摘　　要：提出一种基于方案对比矩阵求解排序权重的目标规划法,指出这种方法对一致或不一致的数字判断矩阵和区间对比矩阵均适用,且求得权重向量的同时,也完成权重标准化的过程。通过权重的比较,获得方案的优劣次序。并将这种方法与基于区间回归分析建立的模型做了比较,将其推广到群决策问题中,最后通过实例分析说明这种方法的有效性。A goal programing （GP）method based on alternatives comparision matrix for deriving interval weights was proposed. The method is applicable to crisp comparision matrices and interval comparision matrices, which can be either consistent or inconsistent.The internaval weights are assumed to be normalized and can be derived from a GP model at a time.Comparisons with＇ an interval regression analysis method are also made. By using the method, the group decision making problem can also be solved. Finally, by one numerical example, the validity of this method is confirmed.

关 键 词：区间对比矩阵 区间权重 方案排序 区间回归分析 群决策 

分 类 号：C934[经济管理—管理学] O223[理学—运筹学与控制论]