Abstract: Based on quotient space granulation theory，combine many affects，such as granular computing，the increasing granular information and information abstracting of granulation.Moreover，rebuild the topology relations of the abstracting information based on the topology of yield granulation.Hence the increasing information accord with a topology.Finally，point out the quotient space theory forecast function based on gray theory and its methods.This is a new practice of information forecast.

摘要： 以商空间粒度计算理论为基础，综合考察了粒度计算，粒度上信息的增长，以及粒度集合上信息的白化问题。进一步在原粒度拓扑关系基础上建立了粒度白化信息的拓扑结构，使信息增长符合一定的拓扑关系。最后结合灰色理论的方法论建立了商空间应用领域的预测方程，是信息预测的新尝试。