Knowledge structure construction and skill reduction methods based on multi-scale context

The conjunctive model of skill map reflects a way to solve the items in a knowledge domain. Currently, a skill map has been transformed into a formal context to construct a knowledge structure. In fact, the conjunctive model of skill map can be regarded as a special case of skill function. In this paper, we consider a way to solve the items in a knowledge domain as a scale. As a result, a skill function can be decomposed into multiple formal contexts, which correspond to a multi-scale context. Based on this, a method for constructing a knowledge structure delineated via competency model by skill function is proposed. In addition, a method for finding minimal skill function is proposed to reduce the complexity. Last but not least, the experimental analysis of five data sets on the UCI Repository shows that the improved method of constructing knowledge structure is effective and feasible and that it is necessary to perform skill reduction on skill function.