摘要
针对指标取值以区间数形式给出的多指标决策问题,提出了一种基于投影的区间评价方法。该方法依据一般的投影分析方法的基本思路,给出了解决指标取值为区间数的多指标决策问题的计算步骤,其核心是通过构建并求解每个方案在虚拟正、负理想方案上的投影,进而计算出每个方案对虚拟正、负理想方案的相对隶属度,即可得到所有方案的排序结果。最后给出了一个数值例子,结果表明该方法简单,有效且易于计算。
With respect to the problem of multiple attribute decision-making which the attribute values are given in terms of interval numbers, an interval appraisal method based on the projection is proposed. Then the calculation steps to solve it are given. As the key step, the projection values are calculated for multiple attribute decision making with interval numbers between every alternative and virtual positive ideal solution and virtual negative ideal solution. Then, according to the projection values, the relative membership degree to the virtual positive ideal solution and virtual negative ideal solution is calculated to rank all alternatives. Finally, an example is illustrated. The result shows the approach is simple, effective and easy to calculate.
出处
《系统工程与电子技术》
EI
CSCD
北大核心
2007年第10期1647-1649,共3页
Systems Engineering and Electronics
基金
国家自然科学基金资助课题(705012025)
关键词
多指标决策
区间数
投影
相对隶属度
multiple attribute decision making
interval numbers
projection
relative membership degree
