基于投影的区间数评价方法探讨

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。

Interval appraisal method based on projection

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.