一种新的区间数多属性决策的集结方法

New aggregate method for multiple attribute decision-making with intervals

对于属性权重和决策矩阵元素均为区间数的多属性决策问题,提出了一种新的方案综合属性区间的集结方法。通过给出与区间权重向量相对应的属性有效权重向量的定义及其具体表达形式,改变已有方法需要求解数学规划模型的做法,运用区间数的数乘运算和加法运算集结方案的有效综合属性区间值,并利用一种对区间数排序的方法,比较各方案的有效综合属性区间值来确定方案的优劣。最后,给出了一个数值例子,结果表明方法简单、有效,易于实现。

With respect to multiple attribute decision-making problems in which both the attribute weights and the elements in decision-making matrix are interval numbers, a new aggregate method for obtaining synthetic attribute intervals for alternatives is presented. By giving the definition and representation of effective attribute weights in the face of interval attribute weights, the effective synthetic attribute intervals for alternatives are obtained by using the scale-multiplication and addition operations of interval numbers instead of solving the mathematic programming models in existing methods. The priority of alternative is determined by comparing the effective synthetic attribute intervals of alternatives based on a ranking approach of interval numbers. At last, a numerical example is provided to illustrate the proposed method. The result shows the approach is simple, effective and easy to implement.