The feasibility study of applying fuzzy structural modeling on knowledge structure analysis

The purpose of this study is to apply an integrated algorithm for knowledge structure analysis. The integrated algorithm includes Item Response Theory (IRT) and Fuzzy Structural Modeling (FSM). The authors use the psychometric model IRT for calculation the ability of task-takers. Based on original response data and item-concept matrix, the individualized fuzzy subordinate matrix is acquired. FSM is applied in the fuzzy subordinate matrix so that individualized knowledge structures is depicted by the hierarchical graphs. According to the empirical data analysis of mathematics test, it shows that the integrated algorithm is an effective methodology for knowledge analysis and cognition diagnosis.

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