Abstract: According to Vague sets on finite universe of discourse，definitions of partition true fuzzy vector and partition non-false fuzzy vector is presented.Secondly，the models of true approximate reasoning and non-false approximate reasoning of Vague set approximate reasoning is obtained.Finally，conclusions of toward chained approximate reasoning and approximate reasoning backward of Vague set are gained.An example shows that the proposed method is effective.

摘要： 给出由有限论域上的Vague集导出的分拆真模糊向量和分拆非假模糊向量的定义。进而得到Vague集近似推理的真近似推理模型和非假近似推理模型。最后得到Vague集正向近似推理结论和逆向近似推理结论。实例表明这种Vague集双向近似推理方法是可行的。