Intention is a mental state and a driving force of human behaviors, which associates with other psychological phenomena, such as belief, desire, and goal. Understanding intention's characteristics and working mechanism has caught the attentions from several disciplines, such as philosophy, psychology, computer science. Although the relationship was proven formally, there always exist some risks of introducing weak correlation because of the complexity of psychological activity. A lot of Web applications, such as audience targeting, collaborative filtering, and intrusion detecting etc., take intention concept for interpreting those system's results. But they are lack of a fundamental theoretical framework for tuning their performance. In this paper, we survey some key concepts developed in three disciplines and sum up five assumptions affecting the intention computing. We also propose a framework for modelling intention prediction and describe our I-I-I criteria model which is able to help us verify an intention computing model, and finally, we conclude by highlighting the salient features of this paper.