Abstract: Multiple attribute decision making theories based on Vague set are reviewed and introduced. Concerning of the shortcomings of existing research methods, a multi-stage fuzzy multiple attribute decision making method based on Vague set is proposed. Basic steps and implementation processes of the method are detailedly presented. Through multi-stage filtering of decision programs, the best decision is gotten, and the method effectively overcomes the common seen failure problem of various Vague set sorting functions. Numerical experiment shows that the method has good solving ability, and it provides a new way to solve fuzzy multiple attribute decision making problems based on Vague set.

Key words: Vague set, multi-stage, fuzzy multiple attribute decision making, sorting function

摘要： 综述了基于Vague集的多属性决策方法，针对现有研究成果存在的不足，提出了基于Vague集的多阶段模糊多属性决策方法，阐述了该方法的基本步骤和实现过程。该方法分阶段对决策方案进行筛选淘汰，找出最佳决策方案，能有效解决现有Vague集排序函数失效的问题。数值实验表明，该方法有很好的求解能力，为基于Vague集求解模糊多属性决策问题提供了一种新的思路和方法。

关键词: Vague集, 多阶段, 模糊多属性决策, 排序函数