Research of Instruction Structure Analysis System Applying Fuzzy Graph

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In order to construct the optimal instruction flows in school education, we should investigate the coginition structure of the subject matter. For such an analysis, it is effective to apply fuzzy theory to clarify the related complicate flows and the structures.We have researched the instructional analysis method by using fuzzy set theory and fuzzy graph theory, and also have tried develop its support system.Actually, we have developed the cognitive analysis method, the cluster analysis method, T-norm analysis method and also have experimented the practical case studies in mathematics education. We have presented our research results to North American Fuzzy Information Processing Society, Int'l Conference Computer, Communication and Conrol Technologies, Japan Society of Mathematics, Japan Society of Fuzzy sysyems, Japan Society of Educational Technology and so on.Finally, we have summerized and edit the related articles and made our project report of three years scientific research.