区间型多属性决策的夹角度量法

Method of inclination measurement for interval multi-attribute decision-making

针对决策矩阵元素为区间数的不确定多属性决策问题,给出了一种新的决策方法。通过定义区间型正、负理想点以及各方案与理想点的夹角,再利用夹角定义各方案与区间理想点的相对贴近度,从而给出了各方案的排序结果。该方法无需对区间数进行排序和比较,计算简单,易于计算机上实现,应用实例表明了方法的有效性和实用性。

A new method is proposed for interval multi-attribute decision-making,in which the attribute values are in the form of interval numbers.The concepts of interval ideal point and inclination of each alternative on the interval ideal point are defined. The method uses the inclination to define the relative closeness between decision ahernative and ideal point.The priority is given by the relative closeness.This method can avoid comparing and ranking interval numbers.h is straightforward and can be performed on computer easily.Finally,an illustrative example is given to demonstrate the feasibility and practicability of the proposed method.