The Algorithms of Constructing Concept Lattices Based On CAT With Cognitive Diagnosis

Constructing concept lattices plays an important role in Formal Concept Analysis. At present, cognitive diagnosis is a focus for researchers, and Computerized Adaptive Testing (CAT) with cognitive diagnosis is prospected but there are few relevant researches. Form Concept Analysis(FCA) can be applied into CAT, and the concept lattices for CAT are theoretically served as a learning model for examinees in CAT with cognitive diagnosis. Considering the attribute hierarchy, the algorithm of constructing concept lattices for CAT is given and discussed in detail, which is proved theoretically.