基于区间值Vague集多属性决策的TOPSIS方法

摘要

为解决属性值为区间值Vague集的多属性决策问题,提出了一种新的基于TOPSIS的多属性决策方法.该方法利用记分函数确定了方案集的理想解和负理想解,定义了区间值Vague集的距离,并得到各方案到理想解和负理想解的距离,根据相对贴近度的大小对各方案进行优劣排序.实例分析验证了方法的可行性.%In order to solve the Multi-attribute decision-making problem with interval-value Vague sets, a new Multi-attribute decision-making method based on TOPSIS is proposed. The method chooses the positive and negative ideal solutions based on the score function, defines the distance between the interval-value Vague sets, and gets the distance between every alternative and the positive ideal solutions or the negative i-deal solutions. The alternatives are ranked by the relative closeness degree of each alternative and positive or negative ideal solutions.. A numerical example proves the practicability of the decision making method.