基于投影法的区间型多属性决策两阶段优化模型  

Two-phase optimized model for interval multi-attribute decision making based on projection method

作　　者：吴坚[1,2] 董富华[1] 梁昌勇[2] 

机构地区：[1]浙江师范大学工商管理学院,浙江金华321004 [2]合肥工业大学管理学院,安徽合肥230009

出　　处：《系统工程与电子技术》2008年第12期2393-2397,共5页Systems Engineering and Electronics

基　　金：国家自然科学基金重点项目(70631003);教育部博士点基金(20050359006);浙江省自然科学基金(Y6080215)资助课题

摘　　要：研究了属性权重和属性值均为区间数的不确定多属性决策问题。先从局部考虑,建立一个目标规划模型来获得各组属性权重向量;再从全局考虑,基于投影法提出了一种非线性的二次规划模型,获得最优的属性权重向量;然后,通过各个方案在区间型理想点上的投影进行排序。最后,通过算例说明了该方法的可行性和有效性。The aim of this paper is to deal with multiple attribute decision making problems that both the attribute weights and the appraisal values of all the alternatives are in the forms of interval number. Firstly, a linear objective programming model for determining the ideal attribute weights is proposed by considering in local. Secondly, a quadratic programming model is set up based on the projection method. Then the alternative is ranked by utilizing the projection on the interval ideal point. Finally, an illustrative example is given to demonstrate the feasibility and practicability of the proposed method.

关 键 词：多属性决策 区间数 投影法 区间型理想点 

分 类 号：C934[经济管理—管理学]