Using MoI mapping from a design variable space(DVS)to a performance variable space(PVS),an aggregation function was built and incorporated in different performance preferences on PVS to accomplish aggregation preferences for multi-attributes or more estimating persons.

In a large number of practical operations of the group decision making, for every alternative a preference mark is given by every decision maker, then all the mark numbers are synthesized to a group mark number to make the order of group preference.

In modern times, teenagers have a preference for popular music, which has something to do with the age characteristic and time background.

The effective way for the learning-difficult transformation m ore partiality——The method for the learning-difficult to improve the ability in sloving problems contents;