While many data mining models concentrate on automation and efficiency, interactive data mining models focus on adaptive and effective communications between human users and computer systems. User views, preferences, strategies and judgements play the most important roles in human-machine interactivities, guide the selection of target knowledge representations, operations, and measurements. Practically, user views, preferences and judgements also decide strategies of abnormal situation handling, and explanations of mined patterns. In this paper, we discuss these fundamental issues.