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.
出处
《系统工程与电子技术》
EI
CSCD
北大核心
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
关键词
多属性决策
区间数
投影法
区间型理想点
multiple attribute decision-making
interval number
projection method
interval ideal point
