Abstract: It is more and more widely and deeply to research Vague sets and soft sets. Both of them are being used into decision making. In order to make decision more efficiently, this paper proposes fuzzy decision making method based on Vague soft relation. The Vague soft relation is defined, then the relation table is contructed using the Vague soft relation, moreover, all alternatives are ranked using a new score function and the best one is selected. An example is given to demonstrate the effectiveness and feasibility of the proposed method.

Key words: Vague sets, soft sets, Vague soft relation, multicriteria fuzzy decision-making

摘要： 在智能领域中对Vague集和软集的研究已越来越广泛和深入，两者均已应用于决策问题中。为了更加有效地进行模糊决策，提出了一种基于Vague软关系的模糊决策方法。定义Vague软关系，构造Vague软集间的关系表格，利用一个新的评分函数对目标进行排序，选出最优目标。通过实例阐明该方法的有效性和实用性。

关键词: Vague集, 软集, Vague软关系, 多目标模糊决策