关键词: 多准则决策, Vague集, 模糊集, 积分, 测度

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