Abstract: Current decision making methods ignore the mutual-impact among the criteria, which causes the inconsistence with the reality. To overcome this drawback, a new approach of multi-criteria decision making based on Vague integral was given. The new approach used Vague measure to measure the importance of the criteria, and used Vague integral to obtain the overall evaluation of the alternative, and then got the optimal alternative based on the evaluation. Finally, a practical example was provided to illustrate the effectiveness and correctness of the new approach.

Key words: multi-criteria decision making, Vague set, fuzzy set, integral, measure

摘要： 现有决策方法忽略了各准则之间的影响，使得决策结果不一定符合实际。为了克服现有决策方法的不足和缺陷，提出一种基于Vague积分的新决策方法。该方法用Vague测度对各准则的重要性加以衡量，再利用Vague积分作为聚合算子得出各方案的整体评价，然后根据评价得出最优方案。最后，通过实例阐明新决策方法的有效性和正确性。

关键词: 多准则决策, Vague集, 模糊集, 积分, 测度