Abstract
It is reasonable to adopt the majority or average of individual opinions as the group opinion, since it is supported by many members.
However, it happens that the minority is better than the majority or a unique opinion stimulates the discussion and helps to improve the individual and group opinions.
Based on this idea, the final group opinion in this paper takes outliers positively into account.
Instead of excluding unique opinion, the relative relation of an individual to the group is considered as his/her outlier degree and it is introduced as his/her weight in the group.
The outlier degree is measured by the increase of group compromise, which is sum of differences between individuals and group opinions, by adding an individual to the group.
When he/she stands far from the group, he/she is paid more attention than general individuals in integration.
Then, the group opinion is obtained as the sum of weighted individual opinions or by minimizing weighted compromises.
The effect of individual weights is more by the former than by the latter.
