6. Conclusion and further study
In this paper, we have proposed a new group recommendation approach for modeling group profiles by considering all member contributions to the group's activities. We have also proposed a MCS model to measure the contribution of each group member in which, by partitioning the item space, we can analyze members' opinions using the SNMF technique. In addition, the MLA model has been proposed to alleviate the fat tail problem by adaptively calculating the average rating related to the target item when predicting unknown group ratings. Using these two models, we can handle a high level of compromise in the group profile and exclude unnecessary information when generating predictions of user preferences. The experiments were set up on two popular public datasets, and we have compared our approach with three popular approaches in the field of group recommendation. The results show the high effectiveness of our MCS-MLA approach. This study not only has theoretical significance but also potentially has high practical application. Many online services, such as movie or tourism recommendation sites and other websites, could adopt our approach. Our future study will include the extension of the proposed approach to select representative samplings instead of random samplings when sub-space differences are taken into consideration. A possible future improvement is to mathematically define a function to describe the degree of contribution divergence, and to incorporate alternative models when the function has a higher value.